1980:
parameters that are both inherently and simultaneously negative, obviating the need to employ separate means. The proposed media possess other desirable features including very wide bandwidth over which the refractive index remains negative, the ability to guide 2-D TM waves, scalability from RF to millimeter-wave frequencies and low transmission losses, as well as the potential for tunability by inserting varactors and/or switches in the unit cell. The concept has been verified with circuit and full-wave simulations. A prototype focusing device has been tested experimentally. The experimental results demonstrated focusing of an incident cylindrical wave within an octave bandwidth and over an electrically short area; suggestive of near-field focusing.
2337:). At certain frequencies Δ < 0 and Ό < 0 and n < 0. Like the DPS, the NIM has intrinsic impedance that is equal to the outside, and, therefore, is also lossless. The direction of power flow (i.e., the Poynting vector) in the first slab should be the same as that in the second one, because the power of the incident wave enters the first slab (without any reflection at the first interface), traverses the first slab, exits the second interface, enters the second slab and traverses it, and finally leaves the second slab. However, as stated earlier, the direction of power is anti-parallel to the direction of phase velocity. Therefore, the wave vector k
2055:. As a nonmagnetic conducting unit, it comprises an array of units that yield an enhanced negative effective magnetic permeability, when the frequency of the incident electromagnetic field is close to the SRR resonance frequency. The resonant frequency of the SRR depends on its shape and physical design. In addition, resonance can occur at wavelengths much larger than its size. For the further shape optimization of the elements it is expedient to use genetic and other optimization algorithms. In multi-frequency designs one may apply fractal designs such as those of Sierpensky, Koch or other fractals instead of SRRs.
1996:
equipped with lumped elements, which permit them to be compact at frequencies where the SRR cannot be compact. The flexibility gained through the use of either discrete or printed elements enables planar metamaterials to be scalable from the megahertz to the tens of gigahertz range. In addition, by utilizing varactors instead of capacitors, the effective material properties can be dynamically tuned. Furthermore, the proposed media are planar and inherently support two-dimensional (2-D) wave propagation. Therefore, these new metamaterials are well suited for RF/microwave device and circuit applications.
1859:
range. With this in mind, high pass and cutoff, periodically loaded, two-dimensional LC transmission line networks were proposed. The LC networks can be designed to support backward waves, without bulky SRR/wire structure. This was the first such proposal which veered away from bulk media for a negative refractive effect. A notable property of this type of network is that there is no reliance on resonance, Instead the ability to support backward waves defines negative refraction.
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17:
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2152:. The operation frequency of the antenna was 3.52 GHz, which was determined by considering the geometrical parameters of SRR. An 8.32 mm length of wire was placed above the ground plane, connected to the antenna, which was one quarter of the operation wavelength. The antenna worked with a feed wavelength of 3.28 mm and feed frequency of 7.8 GHz. The SRR's resonant frequency was smaller than the monopole operation frequency.
1971:
E-plane pattern at 15 GHz showed radiation towards the backfire direction in the far-field pattern, clearly indicating the excitation of a backward wave. Since the transverse dimension of the array is electrically short, the structure is backed by a long metallic trough. The trough acts as a waveguide below cut-off and recovers the back radiation, resulting in unidirectional far-field patterns.
2611:
2184:. According to the numerical results, the antenna showed significant improvement in directivity, compared to conventional patch antennae. This was cited in 2007 for an efficient design of directive patch antennas in mobile communications using metamaterials. This design was based on the left-handed material (LHM) transmission line model, with the circuit elements L and C of the LHM
1274:, which then affects the relative permittivity and permeability of the overall microstrip line. It is introduced so that the wave impedance in the metamaterial remains unchanged. The index of refraction in the medium compensates for the dispersion effects associated with the microstrip geometry itself; making the effective refractive index of the pair that of free space.
1954:) was shown to exhibit NRI properties over a broad frequency range. This network will be referred to as a dual TL structure since it is of a high-pass configuration, as opposed to the low-pass representation of a conventional TL structure. Dual TL structures have been used to experimentally demonstrate backward-wave radiation and focusing at microwave frequencies.
2330:) is the same as that of the outside region and responding to a normally incident planar wave. The wave travels through the medium without any reflection because the DPS impedance and the outside impedance are equal. However, the plane wave at the end of DPS slab is out of phase with the plane wave at the beginning of the material.
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A magnetic dipole was placed on metamaterial (slab) ground plane. The metamaterials have either constituent parameters that are both negative, or negative permittivity or negative permeability. The dispersion and radiation properties of leaky waves supported by these metamaterial slabs, respectively,
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Electromagnetic waves from a point source located inside a conventional DPS can be focused inside an LHM using a planar interface of the two media. These conditions can be modeled by exciting a single node inside the DPS and observing the magnitude and phase of the voltages to ground at all points in
1748:
are often examined. Lumped circuit elements are actually microscopic elements that effectively approximate their larger component counterparts. For example, circuit capacitance and inductance can be created with split rings, which are on the scale of nanometers at optical frequencies. The distributed
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The lens also functions as an input device and consists of a number of periodic unit-cells disposed along the line. The lens consists of multiple lines of the same make up; a plurality of periodic unit-cells. The periodic unit-cells are constructed of a plurality of electrical components; capacitors
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parameters were R = 3.6 mm, r = 2.5 mm, w = 0.2 mm, t = 0.9 mm. R and r are used in annular parameters, w is the spacing between the rings and t = the width of the outer ring. The material had a thickness of 1.6 mm. Permittivity was 3.85 at 4 GHz. The SRR was fabricated
1991:
According to some researchers SRR/wire-configured metamaterials are bulky 3-D constructions that are difficult to adapt for RF/microwave device and circuit applications. These structures can achieve a negative index of refraction only within a narrow bandwidth. When applied to wireless devices at RF
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loaded with capacitive and inductive elements in a high-pass configuration support certain types of backward waves. In addition, planar transmission lines are a natural match for 2-D wave propagation. With lumped circuit elements they retain a compact configuration and can still support the lower RF
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Combining left-handed segments with a conventional (right-handed) transmission line results in advantages over conventional designs. Left-handed transmission lines are essentially a high-pass filter with phase advance. Conversely, right-handed transmission lines are a low-pass filter with phase lag.
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system could be produced. By stacking slabs of this configuration, the phase compensation (beam translation effects) would occur throughout the entire system. Furthermore, by changing the index of any of the DPS-DNG pairs, the speed at which the beam enters the front face, and exits the back face of
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The phase compensator described above can be used to conceptualize the possibility of designing a compact 1-D cavity resonator. The above two-layer structure is applied as two perfect reflectors, or in other words, two perfect conducting plates. Conceptually, what is constrained in the resonator is
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A transmission line that has lumped circuit elements that synthesize a left-handed medium is referred to as a "dual transmission line" as compared to "conventional transmission line". The dual transmission line structure can be implemented in practice by loading a host transmission line with lumped
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The real component values for negative permittivity and permeability results in real component values for negative refraction n. In a lossless medium, all that would exist are real values. This concept can be used to map out phase compensation when a conventional lossless material, DPS, is matched
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used one-dimensional LC loaded transmission line network, which supports fast backward-wave propagation to demonstrate characteristics analogous to "reversed
Cherenkov radiation". Their proposed backward-wave radiating structure was inspired by negative refractive index LC materials. The simulated
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At the interface between two media, the concept of the continuity of the tangential electric and magnetic field components can be applied. If either the permeability or permittivity of two media has opposite signs then the normal components of the tangential field, on both sides of the interface,
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An antenna creates sufficiently strong electromagnetic fields at large distances. Reciprocally, it is sensitive to the electromagnetic fields impressed upon it externally. The actual coupling between a transmitting and receiving antenna is so small that amplifier circuits are required at both the
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When transverse electromagnetic propagation occurs with a transmission line medium, the analogy for permittivity and permeability is Δ = L, and Ό = C. This analogy was developed with positive values for these parameters. The next logic step was realizing that negative values could be achieved. In
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or microwave signals propagating along them would significantly decrease distortion. Therefore, components for attenuating distortion become less critical, and could lead to simplification of many systems. Metamaterials can eliminate dispersion along the microstrip by correcting for the frequency
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This configuration uses a flat aperture constructed of zero-index metamaterial. This has advantages over ordinary (conventional) curved lenses, which results in a much improved directivity. These investigations have provided capabilities for the miniaturization of microwave source and non-source
2119:
and tunable operational frequency are produced with negative magnetic permeability. When combining a right-handed material (RHM) with a
Veselago-left-handed material (LHM) other novel properties are obtained. A single negative material resonator, obtained with an SRR, can produce an electrically
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The reactive power indicates that the DNG shell acts as a natural matching network for the dipole. The DNG material matches the intrinsic reactance of this antenna system to free space, hence the impedance of DNG material matches free space. It provides a natural matching circuit to the antenna.
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Negative refraction and focusing can be accomplished without employing resonances or directly synthesizing the permittivity and permeability. In addition, this media can be practically fabricated by appropriately loading a host transmission line medium. Furthermore, the resulting planar topology
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The proposed structures go beyond the wire/SRR composites in that they do not rely on SRRs to synthesize the material parameters, thus leading to dramatically increased operating bandwidths. Moreover, their unit cells are connected through a transmission-line network and they may, therefore, be
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The monopole-SRR antenna operated efficiently at (λ/10) using the SRR-wire configuration. It demonstrated good coupling efficiency and sufficient radiation efficiency. Its operation was comparable to a conventional antenna at λ/2, which is a conventional antenna size for efficient coupling and
1999:
In the long-wavelength regime, the permittivity and permeability of conventional materials can be artificially synthesized using periodic LC networks arranged in a low-pass configuration. In the dual (high-pass) configuration, these equivalent material parameters assume simultaneously negative
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limit, narrowband and broadband phase-shifting lines, small antennas, low-profile antennas, antenna feed networks, novel power architectures, and high-directivity couplers. Loading a planar metamaterial network of TLs with series capacitors and shunt inductors produces higher performance. This
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is created in the elements by applying a voltage at the antenna terminals, causing the elements to radiate an electromagnetic field. In reception, the reverse occurs: an electromagnetic field from another source induces an alternating current in the elements and a corresponding voltage at the
1979:
Planar media can be implemented with an effective negative refractive index. The underlying concept is based on appropriately loading a printed network of transmission lines periodically with inductors and capacitors. This technique results in effective permittivity and permeability material
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interact as a result of opposing permittivity and / or permeability values that are either ordinary (positive) or extraordinary (negative), notable anomalous behaviors may occur. The pair would be a DNG metamaterial (layer), paired with a DPS, ENG or MNG layer. Wave propagation behavior and
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Dipole antennas, short antennas, parabolic and other reflector antennas, horn antennas, periscope antennas, helical antennas, spiral antennas, surface-wave and leaky wave antennas. Leaky wave antennas include dielectric and dielectric loaded antennas, and the variety of microstrip antennas.
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This structure was designed for use in waveguiding or scattering of waves. It employs two adjacent layers. The first layer is an epsilon-negative (ENG) material or a mu-negative (MNG) material. The second layer is either a double-positive (DPS) material or a double-negative (DNG) material.
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This configuration analytically and numerically appears to produce an order of magnitude increase in power. At the same time, the reactance appears to offer a corresponding decrease. Furthermore, the DNG shell becomes a natural impedance matching network for this system.
78:
reflect most of the signal back to the source. A metamaterial antenna behaves as if it were much larger than its actual size, because its novel structure stores and re-radiates energy. Established lithography techniques can be used to print metamaterial elements on a
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will be discontinuous at the boundary. This implies a concentrated resonant phenomenon at the interface. This appears to be similar to the current and voltage distributions at the junction between an inductor and capacitor, at the resonance of an L-C circuit. This "
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The metamaterial incorporates a conducting transmission element, a substrate comprising at least a first ground plane for grounding the transmission element, a plurality of unit-cell circuits composed periodically along the transmission element and at least one
167:
The earliest research in metamaterial antennas was an analytical study of a miniature dipole antenna surrounded with a metamaterial. This material is known variously as a negative index metamaterial (NIM) or double negative metamaterial (DNG) among other names.
147:, thus making better use of available space for space-constrained cases. In these instances, miniature antennas with high gain are significantly relevant because the radiating elements are combined into large antenna arrays. Furthermore, metamaterials' negative
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to at least the first ground plane. It also includes a means for suspending this transmission element a predetermined distance from the substrate in a way such that the transmission element is located at a second predetermined distance from the ground plane.
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As a negative refractive index medium, a dual TL structure is not simply a phase compensator. It can enhance the amplitude of evanescent waves, as well as correct the phase of propagating waves. Evanescent waves actually grow within the dual TL structure.
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The required antenna for any given application is dependent on the bandwidth employed, and range (power) requirements. In the microwave to millimeter-wave range â wavelengths from a few meters to millimeters â the following antennas are usually employed:
2444:. Therefore, in principle, one can have a thin subwavelength cavity resonator for a given frequency, if at this frequency the second layer acts a metamaterial with negative permittivity and permeability and the ratio correlates to the correct values.
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From the simplified schematics to the right it can be seen that total impedance, conductance, reactance (capacitance and inductance) and the transmission medium (transmission line) can be represented by single components that give the overall value.
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is just above zero. The relevant parameter is often the contrast between the permittivities rather than the overall permittivity value at desired frequencies. This occurs because the equivalent (effective) permittivity has a behavior governed by a
2366:, then the total phase difference between the front and back faces is zero. This demonstrates how the NIM slab at chosen frequencies acts as a phase compensator. It is important to note that this phase compensation process is only on the ratio of
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When the SRR is made part of this configuration, characteristics such as the antenna's radiation pattern are entirely changed in comparison to a conventional monopole antenna. With modifications to the SRR structure the antenna size could reach
225:
Besides antenna miniaturization, the novel configurations have potential applications ranging from radio frequency devices to optical devices. Other combinations, for other devices in metamaterial antenna subsystems are being researched. Either
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With the increasing proliferation of wireless devices inside and out of the home and workplace there are concerns over how interference from the external electromagnetic environment can cause problems for the connectivity of devices in the
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Metamaterials can reduce interference across multiple devices with smaller and simpler shielding. While conventional absorbers can be three inches thick, metamaterials can be in the millimeter range—2 mm (0.078 in) thick.
2572:(MMIC), among other benefits. A transmission line is created with photolithography. A metamaterial lens, consisting of a thin wire array focuses the transmitted or received signals between the line and the emitter / receiver elements.
1289:
The conventional Leaky Wave antenna has had limited commercial success because it lacks complete backfire-to-endfire frequency scanning capability. The CRLH allowed complete backfire-to-endfire frequency scanning, including broadside.
216:
range by using both the forward and backward waves in leaky wave antennas. Various metamaterial antenna systems can be employed to support surveillance sensors, communication links, navigation systems and command and control systems.
1850:
In 2002, rather than using SRR-wire configuration, or other 3-D media, researchers looked at planar configurations that supported backward wave propagation, thus demonstrating negative refractive index and focusing as a consequence.
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transmission lines by suspending them above the ground plane at a predetermined distance. In other words, they are not in contact with a solid substrate. Dielectric signal loss is reduced significantly, reducing signal attenuation.
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LC circuitry configurations. Using FSS in a cavity allows for miniaturization, decrease of the resonant frequency, lowers the cut-off frequency and smooth transition from a fast-wave to a slow-wave in a waveguide configuration.
1941:
allowed the material properties to be dynamically tuned. The proposed media are planar and inherently support two-dimensional (2-D) wave propagation, making them well-suited for RF/microwave device and circuit applications.
1805:< 1), which restores the decaying evanescent waves from the source. This results in a diffraction-limited resolution of λ/6, after some small losses. This compares with λ/2, the normal diffraction limit for conventional
1882:
order to synthesize a left-handed medium (Δ < 0 and Ό < 0) the series reactance and shunt susceptibility should become negative, because the material parameters are directly proportional to these circuit quantities.
1789:, this allows for a more efficient coupling to external radiation and enables a broader frequency band. For example, the superlens can be applied to the TLM architecture. In conventional lenses, imaging is limited by the
1928:
elements, which permit them to be compact at frequencies where an SRR cannot be compact. The flexibility gained through the use of either discrete or printed elements enables planar metamaterials to be scalable from the
2276:
The geometry consists of two parallel plates as perfect conductors (PEC), an idealized structure, filled by two stacked planar slabs of homogeneous and isotropic materials with their respective constitutive parameters
2031:
antenna's terminals. Some receiving antennas (such as parabolic and horn types) incorporate shaped reflective surfaces to collect EM waves from free space and direct or focus them onto the actual conductive elements.
140:, with efficient power and acceptable bandwidth. Antennas employing metamaterials offer the possibility of overcoming restrictive efficiency-bandwidth limitations for conventionally constructed, miniature antennas.
333:
Although some SRR inefficiencies were identified, they continued to be employed as of 2009 for research. SRRs have been involved in wide-ranging metamaterial research, including research on metamaterial antennas.
5104:
Baccarelli, Paolo; Burghignoli, P.; Frezza, F.; Galli, A.; Lampariello, P.; Lovat, G.; Paulotto, S. (2005-01-17). "Effects of Leaky-Wave
Propagation in Metamaterial Grounded Slabs Excited by a Dipole Source".
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can be any value, as long as this ratio satisfies the above condition. Finally, even though this two-layer structure is present, the wave traversing this structure would not experience the phase difference.
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Slyusar V. I. 60 Years of
Electrically Small Antennas Theory.//Proceedings of the 6-th International Conference on Antenna Theory and Techniques, 17â21 September 2007, Sevastopol, Ukraine. - Pp. 116 - 118.
2301:. Choosing which combination of parameters to employ involves pairing DPS and DNG or ENG and MNG materials. As mentioned previously, this is one pair of oppositely-signed constitutive parameters, combined.
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The cavity can conceptually be thin while still resonant, as long as the ratio of thicknesses is satisfied. This can, in principle, provide possibility for subwavelength, thin, compact cavity resonators.
1862:
The principles behind focusing are derived from
Veselago and Pendry. Combining a conventional, flat, (planar) DPS slab, M-1, with a left-handed medium, M-2, a propagating electromagnetic wave with a
133:, for instance, an antenna would need to be half a meter long. In contrast, experimental metamaterial antennas are as small as one-fiftieth of a wavelength, and could have further decreases in size.
2537:
applications. In general phased array systems work by coherently reassembling signals over the entire array by using circuit elements to compensate for relative phase differences and time delays.
1410:= 0.1 eV. Perhaps the most important result of the interaction of metal and the plasma frequency is that permittivity is negative below the plasma frequency, all the way to the minute value of
2345:. Furthermore, whatever phase difference is developed by traversing the first slab can be decreased and even cancelled by traversing the second slab. If the ratio of the two thicknesses is
3771:
Ziolkowski, Richard W. and; Ching-Ying Cheng (2004-01-07). "Tailoring double negative metamaterial responses to achieve anomalous propagation effects along microstrip transmission lines".
372:
through the second slab the phase difference is significantly decreased and even compensated for. Therefore, as the wave exits the second slab the total phase difference is equal to zero.
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A metamaterial-loaded transmission line has significant advantages over conventional or standard delay transmission lines. It is more compact in size, it can achieve positive or negative
4754:
1842:, leading to shorter group delays. It can work in lower frequency because of high series distributed-capacitors and has smaller plane dimensions than its equivalent coplanar structure.
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antennas can be notably increased. This could be accomplished by surrounding an antenna with a shell of double negative (DNG) material. When the electric dipole is embedded in a
1395:, independent of the wave vector of the EM excitation (radiation) field. Furthermore, a minute-fractionally small amount of plasmon energy is absorbed into the system denoted as
1866:
k1 in M-1, results in a refracted wave with a wave vector k2 in M-2. Since, M-2 supports backward wave propagation k2 is refracted to the opposite side of the normal, while the
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of M-2 is anti-parallel with k2. Under such conditions, power is refracted through an effectively negative angle, which implies an effectively negative index of refraction.
3305:
Slyusar V.I. Metamaterials on antenna solutions.// 7th
International Conference on Antenna Theory and Techniques ICATTâ09, Lviv, Ukraine, October 6â9, 2009. - Pp. 19 - 24
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series capacitors (C) and shunt inductors (L). In this periodic structure, the loading is strong such that the lumped elements dominate the propagation characteristics.
1355:. Methods that have been developed theoretically using dielectric photonic crystals applied in the microwave domain to realize a directive emitter using metallic grids.
966:
5224:
Ziolkowski, R. W.; Lin, Chia-Ching; Nielsen, Jean A.; Tanielian, Minas H.; Holloway, Christopher L. (AugustâSeptember 2009). "Design and
Experimental Verification of".
4253:
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Hsu, Yi-Jang; Huang, Yen-Chun; Lih, Jiann-Shing; Chern, Jyh-Long (2004). "Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials".
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due to their negative index of refraction. This is accomplished by combining a slab of conventional lossless DPS material with a slab of lossless DNG metamaterial.
2192:
to determine the L and C values of the LHM equivalent circuit model for desirable characteristics of directive patch antennas. Design examples derived from actual
5226:
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are reduced in size. This equates to a reduction in radiated energy loss, and a relatively wider useful bandwidth. The system is an efficient, dynamically ranged
21:
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technology and is used to convey microwave-frequency signals. It consists of a conducting strip separated from a ground plane by a dielectric layer known as the
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equipment. The desired affect is accomplished by varying the pattern of activated metamaterial elements as needed. The technology is a practical application of
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of the signals' wave components, as they propagate in the DNG medium. Hence, stacked DNG metamaterials could be useful for modifying signal propagation along a
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WU, Q.; Pan, P.; Meng, F.-Y.; Li, L.-W.; Wu, J. (2007-01-31). "A novel flat lens horn antenna designed based on zero refraction principle of metamaterials".
102:
2268:" is essentially independent of the total thickness of the paired layers, because it occurs along the discontinuity between two such conjugate materials.
3176:
Proceedings of the 3rd
International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, London, UK, August 30th-September 4th, 2009
1898:, as with wireless devices, requires the resonators to be scaled to larger dimensions. This worked against making the devices more compact. In contrast,
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Metamaterials were first used for antenna technology around 2005. This type of antenna used the established capability of SNGs to couple with external
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Part of the design strategy is that the effective permittivity and permeability of such a metamaterial should be negative â requiring a DNG material.
996:
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are focused into a narrow cone. Dimensions are small in comparison to the wavelength and thus the slab behaves as a homogeneous material with a low
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creating a dispersion-compensating segment of transmission line. This could be accomplished by introducing a metamaterial with a specific localized
4735:
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Wang, Rui; Yuan, Bo; Wang, Gaofeng; Yi, Fan (2007). "Efficient Design of
Directive Patch Antennas in Mobile Communications Using Metamaterials".
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A more recent view is that by using SRRs as building blocks, the electromagnetic response and associated flexibility is practical and desirable.
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4358:"Experimental and theoretical verification of focusing in a large, periodically loaded transmission line negative refractive index metamaterial"
3587:"Experimental and theoretical verification of focusing in a large, periodically loaded transmission line negative refractive index metamaterial"
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These novel antennas aid applications such as portable interaction with satellites, wide angle beam steering, emergency communications devices,
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without the interaction of the DNG material. In addition, the dipole-DNG shell combination increases the real power radiated by more than an
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RF/microwave devices can be implemented based on these proposed media for applications in wireless communications, surveillance and radars.
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As an LHM application four different cavities operating in the microwave regime were fabricated and experimentally observed and described.
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transmitting and receiving stations. Antennas are usually created by modifying ordinary circuitry into transmission line configurations.
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By combining right-handed (RHM) with left-handed materials (LHM) as a composite material (CRLH) construction, both a backward to forward
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is a composite material. The effect of plasmons on any metal sample is to create properties in the metal such that it can behave as a
4949:"Guided Modes in a Waveguide Filled With a Pair of Single-Negative (SNG), Double-Negative (DNG), and/or Double-Positive (DPS) Layers"
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Often, because of the goal that moves physical metamaterial inclusions (or cells) to smaller sizes, discussion and implementation of
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over a free space antenna. A notable decrease in the reactance of the dipole antenna corresponds to the increase in radiated power.
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1302:, found in metamaterial antenna systems, is used as an efficient coupler to external radiation, focusing radiation along or from a
1246:. At the same time, dispersion leads to distortion. However, if the dispersion could be compensated for along the microstrip line,
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radiation. Therefore, the monopole-SRR antenna becomes an acceptable electrically small antenna at the SRR's resonance frequency.
3172:"Metamaterial-inspired electrically small radiators: it is time to draw preliminary conclusions and depict the future challenges"
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into free space. However, this class of antenna incorporates metamaterials, which are materials engineered with novel, often
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the LHM. A focusing effect should manifest itself as a âspotâ distribution of voltage at a predictable location in the LHM.
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Some noted metamaterial antennas employ negative-refractive-index transmission-line metamaterials (NRI-TLM). These include
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frequencies the split ring-resonators have to be scaled to larger dimensions, which, in turn forces a larger device size.
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1374:. The lattice constant or lattice parameter refers to the constant distance between unit cells in a crystal lattice.
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4889:"An Idea for Thin Subwavelength Cavity Resonators Using Metamaterials With Negative Permittivity and Permeability"
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Patented in 2004, one phased array antenna system is useful in automotive radar applications. By using NIMs as a
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Phased array systems and antennas for use in such systems are well known in areas such as telecommunications and
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In 2002, a different class of negative refractive index (NRI) metamaterials was introduced that employs periodic
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Shelby, R. A.; Smith, D. R.; Schultz, S. (2001). "Experimental
Verification of a Negative Index of Refraction".
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Alternatively, the second layer can be an ENG material when the first layer is an MNG material or the reverse.
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allowed for a wavelength larger than the antenna. At microwave frequencies this allowed for a smaller antenna.
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and motors are replaced by arrays of metamaterials in a planar configuration. Also, with this new technology
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246:, waveguides, scatters and antennas (radiators). Metamaterial antennas were commercially available by 2009.
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in the microwave domain. This low optical index material then is a good candidate for extremely convergent
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5175:; AlĂč, Andrea "Waveguides and scattering devices incorporating epsilon-negative and/or mu-negative slabs"
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129:. Standard antennas need to be at least half the size of the signal wavelength to operate efficiently. At
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permits LHM structures to be readily integrated with conventional planar microwave circuits and devices.
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as closely as possible, because it is usually desirable that the load absorbs as much power as possible.
330:
interfaced with a positive index, parallel-plate waveguide. This was experimentally verified soon after.
3239:"Application of Double Negative Materials to Increase the Power Radiated by Electrically Small Antennas"
3031:
2710:
2705:
2690:
2685:
2655:
2241:
2197:
2124:
2080:
1918:
1598:
1532:
1437:
1271:
1059:
746:
736:
686:
676:
423:
273:
201:
80:
1417:
These facts ultimately result in the arrayed wire structure as being effectively a homogeneous medium.
5291:
3950:
1924:
Moreover, their unit cells are connected through a transmission-line network and may be equipped with
5235:
5114:
5060:
5013:
4960:
4900:
4848:
4700:
4657:
4610:
4532:
4493:
4448:
4369:
4330:
4212:
4159:
4106:
3926:
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3726:
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3457:
3253:
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1754:
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1421:
1184:
1084:
1049:
801:
666:
566:
551:
486:
311:
292:
288:
242:
slabs are employed in the subsystems. Antenna subsystems that are currently being researched include
5248:
4461:
4092:"Experimental verification of backward-wave radiation from a negative refractive index metamaterial"
3470:
3356:"NETGEAR Ships 'The Ultimate Networking Machine' for Gamers, Media Enthusiasts and Small Businesses"
3266:
2491:
1806:
591:
4519:
Aydin, Koray; Bulu, Irfan; Guven, Kaan; Kafesaki, Maria; Soukoulis, Costas M; Ozbay, Ekmel (2005).
2902:
2715:
2589:
2027:
1544:
1489:
1485:
1263:
1231:
1144:
1124:
1119:
926:
911:
796:
766:
661:
353:
323:
319:
64:
4560:
Fangming Zhu; Qingchun Lin; Jun Hu (2005). "A Directive Patch Antenna with a Metamaterial Cover".
2247:
Research and applications of metamaterial based antennas. Related components are also researched.
272:"), and that a periodic array of copper split ring resonators could produce an effective negative
5261:
5130:
5029:
4976:
4916:
4837:"Pairing an epsilon-negative slab with a mu-negative slab: Resonance, tunneling and transparency"
4716:
4673:
4626:
4583:
4282:
4055:
3798:
3742:
3558:
3491:
3068:
2943:
2720:
2554:
2256:
2185:
2177:
2112:
2088:
1906:
1794:
1540:
1019:
759:
561:
521:
4521:"Investigation of magnetic resonances for different split-ring resonator parameters and designs"
4439:
Pendry, J.B.; et al. (1999). "Magnetism from conductors and enhanced nonlinear phenomena".
2326:
has Δ < 0 and Ό < 0. Assume that the intrinsic impedance of the DPS dielectric material (d
387:
Furthermore, this phase compensation can lead to a set of applications, which are miniaturized,
364:
is radiated on this configuration. As this wave propagates through the first slab of material a
16:
3529:
3414:
3210:
Proceedings of the Virtual Institute for Artificial Electromagnetic Materials and Metamaterials
3015:
1428:
of an electromagnetic radiation source located inside the material in order to collect all the
5086:
4573:
4419:
4387:
4272:
3985:
3975:
3942:
3647:"Hybrid metamaterials enable fast electrical modulation of freely propagating terahertz waves"
3621:
3548:
3483:
3335:
3179:
2823:
2585:
2220:(M-SAT) is an invention that uses metamaterials to direct and maintain a consistent broadband
1855:
1790:
1786:
1728:
1548:
1481:
1465:
1382:
1299:
1235:
1079:
396:
381:
315:
137:
2260:
properties may occur that would otherwise not happen if only DNG layers are paired together.
1710:
5253:
5122:
5078:
5068:
5021:
4968:
4908:
4856:
4812:
4708:
4665:
4618:
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4501:
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4338:
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4220:
4167:
4114:
4047:
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3934:
3918:
3790:
3734:
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3611:
3540:
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3189:
3060:
2982:
2933:
2925:
2870:
2815:
2799:
2680:
2141:
2072:
1798:
1441:
1371:
1348:
1343:
1339:
1331:
1311:
1179:
1094:
1054:
1044:
931:
886:
869:
786:
721:
491:
415:
392:
369:
296:
148:
1472:
1457:
4819:
3824:
3679:
3586:
3216:
3203:
2221:
2108:
2068:
2009:
1895:
1867:
1363:
1359:
1306:
transmission line into transmitting and receiving components. Hence, it can be used as an
1247:
1114:
1039:
1034:
901:
776:
741:
636:
601:
501:
205:
185:
144:
125:
of an antenna. The newest metamaterial antennas radiate as much as 95 percent of an input
122:
68:
52:
40:
4316:"Planar negative refractive index media using periodically L-C loaded transmission lines"
4145:"Planar Negative Refractive Index Media Using Periodically LâC Loaded Transmission Lines"
3331:
3124:
1154:
5292:
Microwave transmission-line networks for backward-wave media and reduction of scattering
5239:
5118:
5064:
5017:
4964:
4904:
4852:
4704:
4661:
4614:
4536:
4497:
4452:
4373:
4334:
4216:
4163:
4110:
3930:
3786:
3730:
3667:
3607:
3461:
3257:
3196:
3118:"Analysis and Design of a Cylindrical EBG based directive antenna, Halim Boutayeb et al"
3056:
2921:
2866:
2811:
5301:
3594:
2546:
1925:
1835:
1702:
1684:
1658:
1632:
1606:
1580:
1433:
1074:
1069:
891:
781:
706:
656:
606:
579:
536:
511:
481:
474:
4261:
IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313)
5311:
5172:
4944:
4940:
4720:
4630:
4286:
4063:
3708:
3425:
2233:
2173:
2145:
1766:
1517:
1509:
1234:
as a transmission medium, it could be useful as a dispersion compensation device for
1189:
1174:
1159:
1099:
811:
726:
711:
626:
611:
516:
388:
365:
346:
44:
5134:
5033:
4920:
4587:
4545:
4520:
4059:
3802:
3746:
3562:
3306:
2051:
The SRR was introduced by Pendry in 1999, and is one of the most common elements of
380:
the entire stack-system changes. In this manner, a volumetric, low loss, time delay
208:
efficiency and axial ratio performance of low-profile antennas located close to the
5265:
5159:
4677:
3838:"Emerging Metamaterials Antennas and their advantages over conventional approaches"
3816:
3495:
3072:
2947:
2650:
2237:
2052:
1914:
1899:
1367:
1307:
1267:
1255:
1169:
1064:
1029:
971:
906:
791:
671:
546:
265:
239:
235:
231:
209:
197:
181:
126:
29:
5304:
Manual of Regulations and Procedures for Federal Radio Frequency Management. 2011.
4980:
2819:
2083:
DNG medium, the antenna acts inductively rather than capacitively, as it would in
1286:
This configuration is designated composite right/left-handed (CRLH) metamaterial.
826:
3325:
2851:(2003-10-14). "Periodically LTL With Effective NRI and Negative Group Velocity".
1834:
while occupying the same short physical length and it exhibits a linear, flatter
67:. Antenna designs incorporating metamaterials can step-up the antenna's radiated
5286:
The electrodynamics of substances with simultaneously negative values of Δ and Ό
4777:"Kymeta spins out from Intellectual Ventures after closing $ 12 million funding"
3938:
3906:
3034:; Jin, Peng; Nielsen, J. A.; Tanielian, M. H.; Holloway, Christopher L. (2009).
2610:
2209:
devices, circuits, antennas and the improvement of electromagnetic performance.
2181:
2128:
2116:
1863:
1831:
1770:
1676:
1239:
1089:
941:
771:
433:
376:
326:(DPS) material with negative index material (DNG). It employed a small, planar,
60:
4813:
AFRL-Demonstrated Metamaterials Technology Transforms Antenna Radiation Pattern
4198:"Growing evanescent waves in negative-refractive-index transmission-line media"
3544:
32:, greatly boosting the radiated signal. The square is 30 millimeters on a side.
5257:
5177:
4789:
Company to commercialize IV's metamaterials-based satellite antenna technology
4712:
4622:
4569:
3064:
2772:
2561:
2495:
2164:). Coupling 2, 3, and 4 SRRs side by side slightly shifts radiation patterns.
2084:
1624:
1528:
1521:
1392:
1303:
1259:
1243:
806:
361:
75:
25:
5126:
5025:
4972:
4912:
4342:
4268:
4171:
4051:
3794:
3738:
3092:
2000:
values, and may therefore be used to synthesize a negative refractive index.
1946:
Growing evanescent waves in negative-refractive-index transmission-line media
1476:
Schematic representation of the elementary components of a transmission line.
1258:-loaded transmission line that can be introduced with the original length of
360:-matched to the outside region (e.g., free space). The desired monochromatic
264:
array of intersecting, thin wires could be used to create negative values of
4860:
4669:
3537:
2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278)
3479:
3275:
2967:
Wu, B.-I.; W. Wang; J. Pacheco; X. Chen; T. Grzegorczyk; J. A. Kong (2005).
2874:
2700:
2518:) spiral inductor delay lines to 401. 404 are also connected to ground vias
2225:
2193:
2149:
1934:
1930:
1839:
1820:
1782:
1513:
1352:
1129:
1104:
916:
841:
438:
327:
304:
300:
261:
243:
189:
156:
130:
110:
5090:
4646:"Subwavelength, Compact, Resonant Patch Antennas Loaded With Metamaterials"
4391:
3946:
3877:
3848:
3625:
3487:
3147:
3135:
2929:
2827:
2790:
Enoch, Stefan; Tayeb, G; Sabouroux, P; Guérin, N; Vincent, P (2002-11-04).
5282:
Demonstrated metamaterials technology transforms antenna radiation pattern
3847:. Electromagnetic Theory Symposium 2007 (EMTS 2007): 01â03. Archived from
3209:
3027:
Some content is derived from Public Domain material on the NIST web site.
1562:
With transmission line media it is important to match the load impedance Z
5073:
5049:"Experimental observation of cavity formation in composite metamaterials"
5048:
4382:
4357:
4254:"A backward-wave antenna based on negative refractive index L-C networks"
3616:
2987:
2968:
2550:
2506:
represents unit-cell circuits composed periodically along the microstrip.
1938:
1824:
881:
876:
496:
2255:
When the interface between a pair of materials that function as optical
2115:
over a comparable free space antenna. Electrically small antennas, high
24:
is smaller than a standard antenna with comparable properties. Its high
5082:
4031:"Characteristics of the Composite Right/Left-Handed Transmission Lines"
2938:
2903:"Radiation properties of a split ring resonator and monopole composite"
2618:
2189:
2148:, ground plane and radiating components. The ground plane material was
1378:
851:
5296:
5154:
5152:
5150:
5148:
5146:
5144:
4644:
Alu, Andrea; Bilotti, Filiberto; Engheta, Nader; Vegni, Lucio (2007).
4505:
4470:
4224:
4118:
3675:
2969:"A Study of Using Metamaterials as Antenna Substrate to Enhance Gain"
2645:
2527:
2409:
Following this, the next step is the subwavelength cavity resonator.
2229:
2137:
2076:
1902:
configurations could be scaled to both microwave and RF frequencies.
1429:
936:
443:
254:
121:
Antenna designs incorporating metamaterials can step-up the radiated
87:
56:
4143:
Eleftheriades, George V.; Iyer, A.K.; Kremer, P.C. (December 2002).
3585:
Iyer, Ashwin K.; Kremer, Peter; Eleftheriades, George (2003-04-07).
2244:
theory. The antenna is approximately the size of a laptop computer.
4755:"Intellectual Ventures Invents Beam-Steering Metamaterials Antenna"
3436:
LG Chocolate BL40 is first cellphone to use a metamaterials antenna
2200:
were performed, which illustrates the efficiency of this approach.
2127:
rings with relative opposite gaps in the inner and outer ring. Its
2120:
small antenna when operating at microwave frequencies, as follows:
55:. Their purpose, as with any electromagnetic antenna, is to launch
2609:
2534:
2133:
1813:
1471:
1456:
1323:
91:
15:
143:
Metamaterials permit smaller antenna elements that cover a wider
28:
is derived from the "Z element" inside the square that acts as a
1505:
1335:
1327:
356:, while the DNG has a negative refractive index. Both slabs are
2413:
Compact subwavelength 1-D cavity resonators using metamaterials
5047:
Caglayan, Humeyra; Bulu, I; Loncar, M; Ozbay, E (2008-07-21).
4736:"Bill Gates Invests In Intellectual Ventures' Spin-Out Kymeta"
3530:"Negative refractive index metamaterials supporting 2-D waves"
3359:(...eight ultra-sensitive, internal, metamaterial antennas...)
2456:
Frequency selective surface (FSS) based metamaterials utilize
106:
3911:"Extremely Low Frequency Plasmons in Metallic Mesostructures"
2322:
has Δ > 0 and Ό > 0. Conversely, the NIM of thickness d
4314:
Eleftheriades, G.V.; Iyer, A.K.; Kremer, P.C. (2002-12-16).
3036:"Experimental Verification of Z Antennas at UHF Frequencies"
1921:
resulted in a substantial increase in operating bandwidths.
1846:
Negative refractive index metamaterials supporting 2-D waves
1531:
is a type of transmission line that can be fabricated using
3580:
3578:
3004:"Engineered Metamaterials Enable Remarkably Small Antennas"
1962:
Backward wave antenna using an NRI loaded transmission line
4407:
4405:
4403:
4401:
2022:. Physically, an antenna is an arrangement of one or more
74:
Conventional antennas that are very small compared to the
4356:
Iyer, Ashwin; Peter Kremer; George Eleftheriades (2003).
3519:
3517:
3515:
3513:
3511:
3509:
3507:
3505:
3237:
Ziolkowski, Richard Wly; Allison D. Kipple (2003-10-14).
2568:
This system was designed to boost the performance of the
368:
emerges between the exit and entrance faces. As the wave
136:
Metamaterials are a basis for further miniaturization of
5193:"Metamaterials to revolutionize wireless infrastructure"
2123:
The configuration of an SRR assessed was two concentric
1749:
LC model is related to the lumped LC model, however the
1342:
can be positive and less than one. This means that the
5002:"A Metamaterial Surface for Compact Cavity Resonators"
4603:
International Journal of Infrared and Millimeter Waves
4252:
Grbic, Anthony; George V. Eleftheriades (2002-08-07).
4196:
Grbic, Anthony; George V. Eleftheriades (2003-03-24).
4090:
Grbic, Anthony; George V. Eleftheriades (2002-11-15).
3319:
3317:
3315:
3313:
2896:
2894:
2892:
2890:
2888:
2886:
2884:
2560:
In addition, signal amplitude is increased across the
184:
surrounding antennas offer improved isolation between
3713:"A Positive Future for Double-Negative Metamaterials"
2478:
Leaky mode propagation with metamaterial ground plane
1713:
1687:
1661:
1635:
1609:
1583:
1314:, as well as correct the phase of propagating waves.
291:(SRR), with thin wire conducting posts and produce a
5107:
IEEE Transactions on Microwave Theory and Techniques
4953:
IEEE Transactions on Microwave Theory and Techniques
4441:
IEEE Transactions on Microwave Theory and Techniques
4323:
IEEE Transactions on Microwave Theory and Techniques
4152:
IEEE Transactions on Microwave Theory and Techniques
3774:
IEEE Transactions on Microwave Theory and Techniques
3718:
IEEE Transactions on Microwave Theory and Techniques
3232:
3230:
3228:
3226:
2785:
2783:
2781:
2779:
1890:
Left-handed behavior in LC loaded transmission lines
1761:
Metamaterial-loaded transmission-line configurations
4882:
4880:
4878:
4876:
4874:
4872:
4870:
4418:. New Delhi: New Age International. pp. 1, 2.
4029:Sanada, Atsushi; Caloz, C.; Itoh, T. (2004-02-26).
3703:
3701:
3699:
3327:
Metamaterials: physics and engineering explorations
3324:Engheta, Nader; Richard W. Ziolkowski (June 2006).
3086:
3084:
2752:
Metamaterials: Physics and Engineering Explorations
2514:
are T-junctions between capacitors, which connect (
1975:
Planar NIMs with periodic loaded transmission lines
4562:2005 Asia-Pacific Microwave Conference Proceedings
2502:) for a phased array metamaterial antenna system.
1909:enabled a new class of metamaterials to produce a
1719:
1693:
1667:
1641:
1615:
1589:
1366:structure can be analyzed as an array of aerials (
4309:
4307:
4305:
4303:
3766:
3764:
3762:
3385:"RAYSPAN Ships 20 Millionth Metamaterial Antenna"
2228:whether the platform is in motion or stationary.
4191:
4189:
4187:
4085:
4083:
2901:Kamil, Boratay Alici; Ekmel Ăzbay (2007-03-22).
212:. Metamaterials have also been used to increase
97:Some applications for metamaterial antennas are
3144:"Invisibility Becomes More than Just a Fantasy"
3093:"Metamaterial-Based Electrically Small Antenna"
3091:Bukva, Erica (August 20 â September 19, 2007).
1913:. Relying on LC networks to emulate electrical
1854:It has long been known that transmission lines
1436:. By using a slab of a metamaterial, diverging
1310:. In addition, it can enhance the amplitude of
5227:IEEE Antennas and Wireless Propagation Letters
5006:IEEE Antennas and Wireless Propagation Letters
5000:Caiazzo, Marco; Maci, S.; Engheta, N. (2004).
4893:IEEE Antennas and Wireless Propagation Letters
4039:IEEE Microwave and Wireless Components Letters
3301:
3299:
3297:
3295:
3293:
3291:
3044:IEEE Antennas and Wireless Propagation Letters
3012:National Institute of Standards and Technology
2333:The plane wave then enters the lossless NIM (d
1950:The periodic 2-D LC loaded transmission-line (
1937:range. In addition, replacing capacitors with
230:slabs are used exclusively or combinations of
22:National Institute of Standards and Technology
4841:IEEE Transactions on Antennas and Propagation
4830:
4828:
4822:. U.S. Air Force research.Accessed 2011-03-12
4803:. University of Arizona. Accessed 2011-03-12.
4650:IEEE Transactions on Antennas and Propagation
3901:
3899:
3897:
3246:IEEE Transactions on Antennas and Propagation
3136:"'Metafilms' Can Shrink Radio, Radar Devices"
2854:IEEE Transactions on Antennas and Propagation
2597:ENG and MNG waveguides and scattering devices
2318:In phase compensation, the DPS of thickness d
1211:
341:Phase compensation due to negative refraction
8:
4024:
4022:
4020:
4018:
1492:from one place to another for directing the
1420:This metamaterial allows for control of the
1238:. The dispersion produces a variance of the
3977:Electrons in solids: an introductory survey
1753:is more accurate but more complex than the
287:were the first to successfully combine the
283:In May 2000, a group of researchers, Smith
5160:"Phased array metamaterial antenna system"
3645:Chen, Hou-Tong; et al. (2008-09-04).
2140:substrate. The SRR was excited by using a
2099:Single negative SRR and monopole composite
1251:dependence of the effective permittivity.
1218:
1204:
422:
406:
113:, space vehicle navigation and airplanes.
5247:
5072:
4544:
4460:
4381:
4138:
4136:
4134:
3615:
3469:
3265:
2986:
2937:
2293:. Each slab has thickness = d, slab 1 = d
2144:. The monopole antenna was composed of a
1712:
1686:
1660:
1634:
1608:
1582:
1488:or structure that forms all or part of a
1338:. This material's permittivity above the
1322:In this instance an SRR uses layers of a
403:Transmission line dispersion compensation
395:, and waveguides with applications below
47:to increase performance of miniaturized (
3099:. Navy Office of Small Business Programs
2661:Metamaterials surface antenna technology
2576:and inductors as components of multiple
2490:
2452:Miniature cavity resonator utilizing FSS
2218:Metamaterials surface antenna technology
2213:Metamaterials surface antenna technology
1778:while the refractive index is negative.
5191:Matthew, Finnegan (December 10, 2010).
3817:Backfire to Endfire Leaky wave antenna.
2792:"A Metamaterial for Directive Emission"
2763:
2570:Monolithic microwave integrated circuit
967:Electromagnetism and special relativity
414:
3874:"URSI Commission B EMT-Symposium 2007"
3711:; Richard W. Ziolkowski (April 2005).
1793:. With superlenses the details of the
1254:The strategy is to design a length of
384:could be realized for a given system.
375:With this system a phase-compensated,
2974:Progress in Electromagnetics Research
2465:Composite metamaterial based cavities
2272:Parallel-plate waveguiding structures
2251:Subwavelength cavities and waveguides
1504:. Types of transmission line include
1432:in a small angular domain around the
987:Maxwell equations in curved spacetime
295:that had negative values of Δ, Ό and
7:
3845:URSI Commission B "Fields and Waves"
3415:"Metamaterials Arrive in Cellphones"
2305:Thin subwavelength cavity resonators
2132:with an etching technique onto a 30
94:to search for geophysical features.
3876:. URSI Commission B. Archived from
2549:to focus microwaves, the antenna's
1801:are supported in the metamaterial (
1370:). As a lattice structure it has a
3872:URSI Commission B website (2007).
3170:Bilotti, Filiberto; Vegni, Lucio.
1653:of the dielectric per unit length,
14:
4263:. Vol. 4. pp. 340â343.
2341:is in the opposite direction of k
1555:can be formed from a microstrip.
4801:Metamaterial-Engineered Antennas
4753:Katie M. Palmer (January 2012).
3909:; AJ Holden; WJ Stewart (1996).
3413:Das, Saswato R. (October 2009).
2847:Omar F., Siddiqui; Mo Mojahedi;
2588:for electrically connecting the
2016:classical electromagnetic theory
352:DPS has a conventional positive
63:, structures to produce unusual
4734:Eric Savitz (August 21, 2012).
3008:Description of research results
3002:Ost, Laura (January 26, 2010).
1539:. Microwave components such as
1453:Conventional transmission lines
1381:created the view that metal at
1262:line to make the paired system
260:were able to show that a three-
4783:. Aug 21, 2012. Archived from
4412:Chatterjee, Rajeswari (1996).
2047:Radiation properties with SRRs
2026:, usually called elements. An
194:multiple-input multiple-output
180:Metamaterials employed in the
1:
5318:Radio frequency antenna types
5181:publication date May 15, 2007
4835:Alu, A.; Engheta, N. (2003).
3836:Caloz, C. (26â28 July 2007).
3539:. Vol. 2. p. 1067.
2820:10.1103/PhysRevLett.89.213902
2379:rather than the thickness of
2065:double negative metamaterials
2059:Double negative metamaterials
1797:images are not lost. Growing
1774:results in a large operating
992:Relativistic electromagnetism
20:This Z antenna tested at the
2666:Negative index metamaterials
2641:Chirality (electromagnetism)
2578:distributed-element circuits
2188:model. This study developed
1244:microstrip transmission line
228:double negative metamaterial
5297:Radiating power through air
5280:U.S. Air Force Research Lab
4415:Antenna theory and practice
3939:10.1103/PhysRevLett.76.4773
3383:Hurst, Brian (2009-09-28).
2315:with a lossless NIM (DNG).
2180:was proposed that enhanced
2063:Through the application of
2014:Antenna theory is based on
1502:electric power transmission
202:high-impedance groundplanes
5339:
4564:. Vol. 3. p. 1.
4486:Journal of Applied Physics
4099:Journal of Applied Physics
3545:10.1109/MWSYM.2002.1011823
2007:
717:LiĂ©nardâWiechert potential
322:. This configuration used
5258:10.1109/LAWP.2009.2029708
4713:10.1007/s00339-006-3820-9
4623:10.1007/s10762-007-9249-1
4570:10.1109/APMC.2005.1606717
4546:10.1088/1367-2630/7/1/168
3974:Bube, Richard H. (1992).
3418:(Online magazine article)
3178:. METAMORPHOSE VI AISBL.
3065:10.1109/LAWP.2009.2038180
2473:Metamaterial ground plane
2236:are not required as with
1987:Larger transmission lines
1911:negative refractive index
1751:distributed-element model
1377:The earlier discovery of
1332:three directions of space
1270:and a specific localized
982:Mathematical descriptions
692:Electromagnetic radiation
682:Electromagnetic induction
622:Magnetic vector potential
617:Magnetic scalar potential
176:Ground plane applications
153:electromagnetic radiation
92:ground-penetrating radars
5127:10.1109/TMTT.2004.839346
5026:10.1109/LAWP.2004.836576
4973:10.1109/TMTT.2003.821274
4913:10.1109/LAWP.2002.802576
4343:10.1109/TMTT.2002.805197
4269:10.1109/APS.2002.1016992
4172:10.1109/TMTT.2002.805197
4052:10.1109/LMWC.2003.822563
3795:10.1109/TMTT.2003.819193
3739:10.1109/TMTT.2005.845188
1816:capability is obtained.
1568:characteristic impedance
1468:for a transmission line.
1448:Transmission line models
1360:arrayed wires in a cubic
1236:time-domain applications
328:negative-refractive-lens
159:versus being dispersed.
4887:Engheta, Nader (2002).
4861:10.1109/TAP.2003.817553
4670:10.1109/TAP.2006.888401
4205:Applied Physics Letters
3823:April 12, 2010, at the
3655:Applied Physics Letters
3526:George V. Eleftheriades
3480:10.1126/science.1058847
3276:10.1109/TAP.2003.817561
2910:Physica Status Solidi B
2875:10.1109/TAP.2003.817556
2849:George V. Eleftheriades
2671:Nonlinear metamaterials
1746:distributed LC networks
1736:Lumped circuit elements
1720:{\displaystyle \omega }
532:Electrostatic induction
527:Electrostatic discharge
299:for frequencies in the
4525:New Journal of Physics
4011:Federal Standard 1037C
3032:Ziolkowski, Richard W.
2981:: 295â328 (34 pages).
2930:10.1002/pssb.200674505
2747:Metamaterials Handbook
2676:Photonic metamaterials
2636:Acoustic metamaterials
2621:
2526:Multiple systems have
2523:
2204:Flat lens horn antenna
1769:that can overcome the
1721:
1695:
1669:
1643:
1617:
1591:
1477:
1469:
962:Electromagnetic tensor
236:epsilon-negative (ENG)
99:wireless communication
33:
5178:U.S. patent 7,218,190
3984:. pp. 155, 156.
2711:Transformation optics
2706:Tunable metamaterials
2691:Seismic metamaterials
2686:Quantum metamaterials
2656:Metamaterial cloaking
2613:
2606:Reducing interference
2494:
2242:metamaterial cloaking
2198:mobile communications
1919:magnetic permeability
1722:
1696:
1670:
1644:
1618:
1592:
1533:printed circuit board
1498:electromagnetic waves
1475:
1460:
1438:electromagnetic waves
1272:magnetic permeability
955:Covariant formulation
747:Synchrotron radiation
687:Electromagnetic pulse
677:Electromagnetic field
274:magnetic permeability
232:double positive (DPS)
81:printed circuit board
37:Metamaterial antennas
19:
5074:10.1364/OE.16.011132
4765:on December 3, 2011.
4383:10.1364/OE.11.000696
3662:(9): 091117 (2008).
3617:10.1364/OE.11.000696
3422:Metamterial antennas
2988:10.2528/PIER04070701
2696:Split-ring resonator
2616:keyless entry system
2590:transmission element
2541:Phased array antenna
2224:beam locked on to a
2105:SRR-DNG metamaterial
1755:lumped-element model
1711:
1685:
1659:
1633:
1607:
1581:
1522:electric power lines
1512:, dielectric slabs,
1330:â with wires in the
997:Stressâenergy tensor
922:Reluctance (complex)
667:Displacement current
293:left-handed material
289:split-ring resonator
221:Novel configurations
210:ground plane surface
103:space communications
5288:Victor G. Veselago.
5240:2009IAWPL...8..989Z
5119:2005ITMTT..53...32B
5065:2008OExpr..1611132C
5018:2004IAWPL...3..261C
4965:2004ITMTT..52..199A
4905:2002IAWPL...1...10E
4853:2003ITAP...51.2558A
4705:2007ApPhA..87..151W
4662:2007ITAP...55...13A
4615:2007IJIMW..28..639W
4537:2005NJPh....7..168A
4498:2004JAP....96.1979H
4453:1999ITMTT..47.2075P
4374:2003OExpr..11..696I
4335:2002ITMTT..50.2702E
4217:2003ApPhL..82.1815G
4164:2002ITMTT..50.2702E
4111:2002JAP....92.5930G
3931:1996PhRvL..76.4773P
3883:on November 4, 2008
3854:on October 13, 2008
3787:2003ITMTT..51.2306C
3731:2005ITMTT..53.1535E
3668:2008ApPhL..93i1117C
3608:2003OExpr..11..696I
3462:2001Sci...292...77S
3395:on November 1, 2009
3258:2003ITAP...51.2626Z
3197:Metamaterials '2009
3192:on August 25, 2011.
3057:2009IAWPL...8.1329Z
2922:2007PSSBR.244.1192A
2867:2003ITAP...51.2619S
2812:2002PhRvL..89u3902E
2716:Acoustic dispersion
2510:series capacitors.
2483:were investigated.
2266:interface resonance
2103:The addition of an
2028:alternating current
2020:Maxwell's equations
1496:of energy, such as
1318:Directing radiation
912:Magnetomotive force
797:Electromotive force
767:Alternating current
702:Jefimenko equations
662:Cyclotron radiation
354:index of refraction
234:with DNG slabs, or
65:physical properties
5218:General references
5199:. JAM IT Media Ltd
4818:2011-06-05 at the
4781:The Sacramento Bee
3709:Engheta, Nader and
3363:The New York Times
3334:. pp. 43â85.
3215:2010-12-31 at the
3202:2011-06-26 at the
3018:on January 4, 2011
2721:Coplanar waveguide
2622:
2555:phased array radar
2524:
2310:Phase compensation
2257:transmission media
2186:equivalent circuit
2178:metamaterial cover
2113:order of magnitude
2089:order of magnitude
1907:transmission lines
1742:lumped LC circuits
1717:
1691:
1665:
1639:
1613:
1587:
1478:
1470:
1461:Variations on the
1358:In this instance,
760:Electrical network
597:Gauss magnetic law
562:Static electricity
522:Electric potential
397:diffraction limits
347:phase compensation
138:microwave antennas
49:electrically small
34:
4579:978-0-7803-9433-9
4506:10.1063/1.1767290
4471:10.1109/22.798002
4425:978-0-470-20957-8
4329:(12): 2702â2712.
4278:978-0-7803-7330-3
4225:10.1063/1.1561167
4119:10.1063/1.1513194
3991:978-0-12-138553-8
3980:. San Diego, CA:
3925:(25): 4773â4776.
3815:UCLA Technology.
3676:10.1063/1.2978071
3554:978-0-7803-7239-9
3524:Iyer, Ashwin K.;
3341:978-0-471-76102-0
3185:978-0-9551179-6-1
2861:(10): 2619â2625.
1935:tens of gigahertz
1791:diffraction limit
1787:diffraction limit
1785:can overcome the
1729:angular frequency
1694:{\displaystyle j}
1668:{\displaystyle C}
1642:{\displaystyle G}
1616:{\displaystyle L}
1590:{\displaystyle R}
1482:transmission line
1466:electronic symbol
1383:plasmon frequency
1300:metamaterial lens
1232:dispersive nature
1230:Because of DNG's
1228:
1227:
927:Reluctance (real)
897:Gyratorâcapacitor
842:Resonant cavities
732:Maxwell equations
393:cavity resonators
382:transmission line
316:transmission line
244:cavity resonators
240:mu-negative (MNG)
204:can also improve
5330:
5269:
5251:
5212:
5211:
5205:
5204:
5188:
5182:
5180:
5170:
5164:
5163:
5156:
5139:
5138:
5101:
5095:
5094:
5076:
5059:(15): 11132â40.
5044:
5038:
5037:
4997:
4991:
4990:
4988:
4987:
4947:(January 2004).
4937:
4931:
4930:
4928:
4927:
4884:
4865:
4864:
4832:
4823:
4810:
4804:
4798:
4792:
4791:
4773:
4767:
4766:
4761:. Archived from
4750:
4744:
4743:
4731:
4725:
4724:
4688:
4682:
4681:
4641:
4635:
4634:
4598:
4592:
4591:
4557:
4551:
4550:
4548:
4516:
4510:
4509:
4481:
4475:
4474:
4464:
4436:
4430:
4429:
4409:
4396:
4395:
4385:
4353:
4347:
4346:
4320:
4311:
4298:
4297:
4296:on July 6, 2011.
4295:
4289:. Archived from
4258:
4249:
4243:
4242:
4240:
4239:
4234:on July 20, 2011
4233:
4227:. Archived from
4202:
4193:
4182:
4181:
4179:
4178:
4149:
4140:
4129:
4128:
4126:
4125:
4096:
4087:
4078:
4077:
4075:
4074:
4068:
4062:. Archived from
4035:
4026:
4013:
4008:
4002:
4001:
3999:
3998:
3982:Elsevier Science
3971:
3965:
3964:
3962:
3961:
3955:
3949:. Archived from
3919:Phys. Rev. Lett.
3915:
3903:
3892:
3891:
3889:
3888:
3882:
3869:
3863:
3862:
3860:
3859:
3853:
3842:
3833:
3827:
3813:
3807:
3806:
3768:
3757:
3756:
3754:
3753:
3705:
3694:
3693:
3691:
3690:
3684:
3678:. Archived from
3651:
3642:
3636:
3635:
3633:
3632:
3619:
3591:
3582:
3573:
3572:
3570:
3569:
3534:
3521:
3500:
3499:
3473:
3445:
3439:
3438:
3433:
3432:
3419:
3410:
3404:
3403:
3401:
3400:
3391:. Archived from
3380:
3374:
3373:
3371:
3370:
3360:
3352:
3346:
3345:
3332:Wiley & Sons
3321:
3308:
3303:
3286:
3285:
3283:
3282:
3269:
3243:
3234:
3221:
3193:
3188:. Archived from
3167:
3161:
3158:
3156:
3155:
3146:. Archived from
3139:
3131:
3130:on July 6, 2011.
3129:
3123:. Archived from
3122:
3114:
3108:
3107:
3105:
3104:
3097:Navy SBIR / STTR
3088:
3079:
3076:
3040:
3026:
3024:
3023:
3014:. Archived from
2999:
2993:
2992:
2990:
2964:
2958:
2957:
2955:
2954:
2941:
2916:(4): 1192â1196.
2907:
2898:
2879:
2878:
2844:
2838:
2837:
2835:
2834:
2800:Phys. Rev. Lett.
2796:
2787:
2774:
2768:
2681:Photonic crystal
2487:Patented systems
2297:, and slab 2 = d
2142:monopole antenna
2111:by more than an
2018:as described by
1799:evanescent waves
1726:
1724:
1723:
1718:
1700:
1698:
1697:
1692:
1679:per unit length,
1674:
1672:
1671:
1666:
1648:
1646:
1645:
1640:
1627:per unit length,
1622:
1620:
1619:
1614:
1601:per unit length,
1596:
1594:
1593:
1588:
1524:and waveguides.
1484:is the material
1442:plasma frequency
1399:. For aluminium
1372:lattice constant
1349:plasma frequency
1344:refractive index
1340:plasma frequency
1312:evanescent waves
1220:
1213:
1206:
887:Electric machine
870:Magnetic circuit
832:Parallel circuit
822:Network analysis
787:Electric current
722:London equations
567:Triboelectricity
557:Potential energy
426:
416:Electromagnetism
407:
366:phase difference
345:DNG can provide
312:reactive loading
297:refractive index
200:. Metamaterial,
149:refractive index
117:Antennas designs
5338:
5337:
5333:
5332:
5331:
5329:
5328:
5327:
5308:
5307:
5276:
5249:10.1.1.205.4814
5223:
5220:
5215:
5202:
5200:
5190:
5189:
5185:
5176:
5171:
5167:
5158:
5157:
5142:
5103:
5102:
5098:
5046:
5045:
5041:
4999:
4998:
4994:
4985:
4983:
4941:AlĂč, Andrea and
4939:
4938:
4934:
4925:
4923:
4886:
4885:
4868:
4834:
4833:
4826:
4820:Wayback Machine
4811:
4807:
4799:
4795:
4787:on 2012-09-01.
4775:
4774:
4770:
4752:
4751:
4747:
4733:
4732:
4728:
4690:
4689:
4685:
4643:
4642:
4638:
4600:
4599:
4595:
4580:
4559:
4558:
4554:
4518:
4517:
4513:
4483:
4482:
4478:
4462:10.1.1.564.7060
4438:
4437:
4433:
4426:
4411:
4410:
4399:
4355:
4354:
4350:
4318:
4313:
4312:
4301:
4293:
4279:
4256:
4251:
4250:
4246:
4237:
4235:
4231:
4200:
4195:
4194:
4185:
4176:
4174:
4147:
4142:
4141:
4132:
4123:
4121:
4094:
4089:
4088:
4081:
4072:
4070:
4066:
4033:
4028:
4027:
4016:
4009:
4005:
3996:
3994:
3992:
3973:
3972:
3968:
3959:
3957:
3953:
3913:
3905:
3904:
3895:
3886:
3884:
3880:
3871:
3870:
3866:
3857:
3855:
3851:
3840:
3835:
3834:
3830:
3825:Wayback Machine
3814:
3810:
3781:(12): 203â206.
3770:
3769:
3760:
3751:
3749:
3707:
3706:
3697:
3688:
3686:
3682:
3649:
3644:
3643:
3639:
3630:
3628:
3589:
3584:
3583:
3576:
3567:
3565:
3555:
3532:
3523:
3522:
3503:
3471:10.1.1.119.1617
3456:(5514): 77â79.
3447:
3446:
3442:
3430:
3428:
3417:
3412:
3411:
3407:
3398:
3396:
3382:
3381:
3377:
3368:
3366:
3358:
3354:
3353:
3349:
3342:
3323:
3322:
3311:
3304:
3289:
3280:
3278:
3267:10.1.1.205.5571
3241:
3236:
3235:
3224:
3217:Wayback Machine
3204:Wayback Machine
3186:
3169:
3168:
3164:
3153:
3151:
3142:
3134:
3127:
3120:
3116:
3115:
3111:
3102:
3100:
3090:
3089:
3082:
3038:
3030:
3021:
3019:
3001:
3000:
2996:
2966:
2965:
2961:
2952:
2950:
2905:
2900:
2899:
2882:
2846:
2845:
2841:
2832:
2830:
2794:
2789:
2788:
2777:
2769:
2765:
2761:
2756:
2631:
2608:
2599:
2543:
2489:
2480:
2475:
2467:
2454:
2441:
2437:
2428:
2424:
2415:
2402:
2398:
2389:
2385:
2376:
2372:
2363:
2359:
2355:
2351:
2344:
2340:
2336:
2329:
2325:
2321:
2312:
2307:
2300:
2296:
2292:
2288:
2284:
2280:
2274:
2253:
2222:radio frequency
2215:
2206:
2170:
2101:
2061:
2049:
2012:
2010:Antenna (radio)
2006:
1989:
1977:
1964:
1948:
1892:
1868:Poynting vector
1848:
1763:
1738:
1709:
1708:
1683:
1682:
1657:
1656:
1631:
1630:
1605:
1604:
1579:
1578:
1573:
1565:
1455:
1450:
1404:
1389:
1364:crystal lattice
1320:
1296:
1283:
1224:
1195:
1194:
1010:
1002:
1001:
957:
947:
946:
902:Induction motor
872:
862:
861:
777:Current density
762:
752:
751:
742:Poynting vector
652:
650:Electrodynamics
642:
641:
637:Right-hand rule
602:Magnetic dipole
592:BiotâSavart law
582:
572:
571:
507:Electric dipole
502:Electric charge
477:
405:
343:
252:
223:
186:radio frequency
178:
165:
145:frequency range
119:
53:antenna systems
39:are a class of
12:
11:
5:
5336:
5334:
5326:
5325:
5320:
5310:
5309:
5306:
5305:
5299:
5294:
5289:
5283:
5275:
5274:External links
5272:
5271:
5270:
5219:
5216:
5214:
5213:
5183:
5173:Engheta, Nader
5165:
5140:
5096:
5053:Optics Express
5039:
4992:
4932:
4866:
4824:
4805:
4793:
4768:
4745:
4726:
4699:(2): 151â156.
4683:
4636:
4593:
4578:
4552:
4511:
4476:
4431:
4424:
4397:
4368:(7): 696â708.
4362:Optics Express
4348:
4299:
4277:
4244:
4183:
4130:
4079:
4014:
4003:
3990:
3966:
3893:
3864:
3828:
3808:
3758:
3695:
3637:
3602:(7): 696â708.
3595:Optics Express
3574:
3553:
3528:(2002-06-07).
3501:
3440:
3405:
3375:
3347:
3340:
3309:
3287:
3222:
3220:
3219:
3207:
3184:
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3140:
3109:
3080:
3078:
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2994:
2959:
2880:
2839:
2806:(21): 213902.
2775:
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2653:
2648:
2643:
2638:
2632:
2630:
2627:
2607:
2604:
2598:
2595:
2547:biconcave lens
2542:
2539:
2488:
2485:
2479:
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2270:
2252:
2249:
2234:phase shifters
2214:
2211:
2205:
2202:
2169:
2168:Patch antennas
2166:
2109:radiated power
2107:increased the
2100:
2097:
2069:power radiated
2060:
2057:
2048:
2045:
2008:Main article:
2005:
2004:Configurations
2002:
1988:
1985:
1976:
1973:
1963:
1960:
1947:
1944:
1926:lumped circuit
1896:RF frequencies
1894:Using SRRs at
1891:
1888:
1847:
1844:
1836:phase response
1762:
1759:
1737:
1734:
1733:
1732:
1716:
1706:
1703:imaginary unit
1690:
1680:
1664:
1654:
1638:
1628:
1612:
1602:
1586:
1571:
1563:
1553:power dividers
1518:optical fibers
1510:coaxial cables
1454:
1451:
1449:
1446:
1402:
1387:
1334:and slices of
1319:
1316:
1295:
1294:Microwave lens
1292:
1282:
1279:
1264:dispersionless
1226:
1225:
1223:
1222:
1215:
1208:
1200:
1197:
1196:
1193:
1192:
1187:
1182:
1177:
1172:
1167:
1162:
1157:
1152:
1147:
1142:
1137:
1132:
1127:
1122:
1117:
1112:
1107:
1102:
1097:
1092:
1087:
1082:
1077:
1072:
1067:
1062:
1057:
1052:
1047:
1042:
1037:
1032:
1027:
1022:
1017:
1011:
1008:
1007:
1004:
1003:
1000:
999:
994:
989:
984:
979:
977:Four-potential
974:
969:
964:
958:
953:
952:
949:
948:
945:
944:
939:
934:
929:
924:
919:
914:
909:
904:
899:
894:
892:Electric motor
889:
884:
879:
873:
868:
867:
864:
863:
860:
859:
854:
849:
847:Series circuit
844:
839:
834:
829:
824:
819:
817:Kirchhoff laws
814:
809:
804:
799:
794:
789:
784:
782:Direct current
779:
774:
769:
763:
758:
757:
754:
753:
750:
749:
744:
739:
737:Maxwell tensor
734:
729:
724:
719:
714:
709:
707:Larmor formula
704:
699:
694:
689:
684:
679:
674:
669:
664:
659:
657:Bremsstrahlung
653:
648:
647:
644:
643:
640:
639:
634:
629:
624:
619:
614:
609:
607:Magnetic field
604:
599:
594:
589:
583:
580:Magnetostatics
578:
577:
574:
573:
570:
569:
564:
559:
554:
549:
544:
539:
534:
529:
524:
519:
514:
512:Electric field
509:
504:
499:
494:
489:
484:
482:Charge density
478:
475:Electrostatics
473:
472:
469:
468:
467:
466:
461:
456:
451:
446:
441:
436:
428:
427:
419:
418:
412:
411:
410:Articles about
404:
401:
342:
339:
324:positive index
251:
248:
222:
219:
198:antenna arrays
177:
174:
164:
161:
118:
115:
13:
10:
9:
6:
4:
3:
2:
5335:
5324:
5323:Metamaterials
5321:
5319:
5316:
5315:
5313:
5303:
5300:
5298:
5295:
5293:
5290:
5287:
5284:
5281:
5278:
5277:
5273:
5267:
5263:
5259:
5255:
5250:
5245:
5241:
5237:
5233:
5229:
5228:
5222:
5221:
5217:
5210:
5198:
5194:
5187:
5184:
5179:
5174:
5169:
5166:
5161:
5155:
5153:
5151:
5149:
5147:
5145:
5141:
5136:
5132:
5128:
5124:
5120:
5116:
5112:
5108:
5100:
5097:
5092:
5088:
5084:
5080:
5075:
5070:
5066:
5062:
5058:
5054:
5050:
5043:
5040:
5035:
5031:
5027:
5023:
5019:
5015:
5011:
5007:
5003:
4996:
4993:
4982:
4978:
4974:
4970:
4966:
4962:
4958:
4954:
4950:
4946:
4945:Nader Engheta
4942:
4936:
4933:
4922:
4918:
4914:
4910:
4906:
4902:
4898:
4894:
4890:
4883:
4881:
4879:
4877:
4875:
4873:
4871:
4867:
4862:
4858:
4854:
4850:
4846:
4842:
4838:
4831:
4829:
4825:
4821:
4817:
4814:
4809:
4806:
4802:
4797:
4794:
4790:
4786:
4782:
4778:
4772:
4769:
4764:
4760:
4759:IEEE Spectrum
4756:
4749:
4746:
4741:
4737:
4730:
4727:
4722:
4718:
4714:
4710:
4706:
4702:
4698:
4694:
4693:Appl. Phys. A
4687:
4684:
4679:
4675:
4671:
4667:
4663:
4659:
4655:
4651:
4647:
4640:
4637:
4632:
4628:
4624:
4620:
4616:
4612:
4608:
4604:
4597:
4594:
4589:
4585:
4581:
4575:
4571:
4567:
4563:
4556:
4553:
4547:
4542:
4538:
4534:
4530:
4526:
4522:
4515:
4512:
4507:
4503:
4499:
4495:
4491:
4487:
4480:
4477:
4472:
4468:
4463:
4458:
4454:
4450:
4446:
4442:
4435:
4432:
4427:
4421:
4417:
4416:
4408:
4406:
4404:
4402:
4398:
4393:
4389:
4384:
4379:
4375:
4371:
4367:
4363:
4359:
4352:
4349:
4344:
4340:
4336:
4332:
4328:
4324:
4317:
4310:
4308:
4306:
4304:
4300:
4292:
4288:
4284:
4280:
4274:
4270:
4266:
4262:
4255:
4248:
4245:
4230:
4226:
4222:
4218:
4214:
4210:
4206:
4199:
4192:
4190:
4188:
4184:
4173:
4169:
4165:
4161:
4157:
4153:
4146:
4139:
4137:
4135:
4131:
4120:
4116:
4112:
4108:
4104:
4100:
4093:
4086:
4084:
4080:
4069:on 2007-07-22
4065:
4061:
4057:
4053:
4049:
4045:
4041:
4040:
4032:
4025:
4023:
4021:
4019:
4015:
4012:
4007:
4004:
3993:
3987:
3983:
3979:
3978:
3970:
3967:
3956:on 2011-07-17
3952:
3948:
3944:
3940:
3936:
3932:
3928:
3924:
3921:
3920:
3912:
3908:
3902:
3900:
3898:
3894:
3879:
3875:
3868:
3865:
3850:
3846:
3839:
3832:
3829:
3826:
3822:
3818:
3812:
3809:
3804:
3800:
3796:
3792:
3788:
3784:
3780:
3776:
3775:
3767:
3765:
3763:
3759:
3748:
3744:
3740:
3736:
3732:
3728:
3724:
3720:
3719:
3714:
3710:
3704:
3702:
3700:
3696:
3685:on 2011-06-05
3681:
3677:
3673:
3669:
3665:
3661:
3657:
3656:
3648:
3641:
3638:
3627:
3623:
3618:
3613:
3609:
3605:
3601:
3597:
3596:
3588:
3581:
3579:
3575:
3564:
3560:
3556:
3550:
3546:
3542:
3538:
3531:
3527:
3520:
3518:
3516:
3514:
3512:
3510:
3508:
3506:
3502:
3497:
3493:
3489:
3485:
3481:
3477:
3472:
3467:
3463:
3459:
3455:
3451:
3444:
3441:
3437:
3427:
3426:IEEE Spectrum
3423:
3416:
3409:
3406:
3394:
3390:
3386:
3379:
3376:
3364:
3357:
3351:
3348:
3343:
3337:
3333:
3329:
3328:
3320:
3318:
3316:
3314:
3310:
3307:
3302:
3300:
3298:
3296:
3294:
3292:
3288:
3277:
3273:
3268:
3263:
3259:
3255:
3251:
3247:
3240:
3233:
3231:
3229:
3227:
3223:
3218:
3214:
3211:
3208:
3205:
3201:
3198:
3195:
3194:
3191:
3187:
3181:
3177:
3173:
3166:
3163:
3150:on 2009-05-13
3149:
3145:
3141:
3137:
3133:
3132:
3126:
3119:
3113:
3110:
3098:
3094:
3087:
3085:
3081:
3074:
3070:
3066:
3062:
3058:
3054:
3050:
3046:
3045:
3037:
3033:
3029:
3028:
3017:
3013:
3009:
3005:
2998:
2995:
2989:
2984:
2980:
2976:
2975:
2970:
2963:
2960:
2949:
2945:
2940:
2935:
2931:
2927:
2923:
2919:
2915:
2911:
2904:
2897:
2895:
2893:
2891:
2889:
2887:
2885:
2881:
2876:
2872:
2868:
2864:
2860:
2856:
2855:
2850:
2843:
2840:
2829:
2825:
2821:
2817:
2813:
2809:
2805:
2802:
2801:
2793:
2786:
2784:
2782:
2780:
2776:
2773:
2767:
2764:
2758:
2753:
2750:
2748:
2745:
2744:
2735:
2732:
2731:
2730:
2729:
2728:
2727:
2726:
2725:
2722:
2719:
2717:
2714:
2712:
2709:
2707:
2704:
2702:
2699:
2697:
2694:
2692:
2689:
2687:
2684:
2682:
2679:
2677:
2674:
2672:
2669:
2667:
2664:
2662:
2659:
2657:
2654:
2652:
2649:
2647:
2644:
2642:
2639:
2637:
2634:
2633:
2628:
2626:
2620:
2617:
2612:
2605:
2603:
2596:
2594:
2591:
2587:
2581:
2579:
2573:
2571:
2566:
2563:
2558:
2556:
2552:
2548:
2540:
2538:
2536:
2531:
2529:
2521:
2517:
2513:
2509:
2505:
2501:
2497:
2493:
2486:
2484:
2477:
2472:
2470:
2464:
2462:
2459:
2451:
2449:
2445:
2443:
2442:
2430:
2429:
2412:
2410:
2407:
2404:
2403:
2392:. Therefore,
2391:
2390:
2378:
2377:
2365:
2364:
2331:
2316:
2309:
2304:
2302:
2271:
2269:
2267:
2261:
2258:
2250:
2248:
2245:
2243:
2239:
2235:
2231:
2227:
2223:
2219:
2212:
2210:
2203:
2201:
2199:
2195:
2191:
2187:
2183:
2179:
2175:
2174:patch antenna
2167:
2165:
2163:
2157:
2153:
2151:
2147:
2146:coaxial cable
2143:
2139:
2135:
2130:
2126:
2121:
2118:
2114:
2110:
2106:
2098:
2096:
2092:
2090:
2086:
2082:
2078:
2074:
2070:
2066:
2058:
2056:
2054:
2053:metamaterials
2046:
2044:
2040:
2036:
2032:
2029:
2025:
2021:
2017:
2011:
2003:
2001:
1997:
1993:
1986:
1984:
1981:
1974:
1972:
1969:
1961:
1959:
1955:
1953:
1945:
1943:
1940:
1936:
1932:
1927:
1922:
1920:
1916:
1912:
1908:
1903:
1901:
1897:
1889:
1887:
1883:
1879:
1875:
1871:
1869:
1865:
1860:
1857:
1852:
1845:
1843:
1841:
1837:
1833:
1828:
1826:
1822:
1817:
1815:
1810:
1808:
1804:
1800:
1796:
1792:
1788:
1784:
1779:
1777:
1772:
1768:
1760:
1758:
1756:
1752:
1747:
1743:
1735:
1730:
1714:
1707:
1704:
1688:
1681:
1678:
1662:
1655:
1652:
1636:
1629:
1626:
1610:
1603:
1600:
1584:
1577:
1576:
1575:
1569:
1560:
1556:
1554:
1550:
1546:
1542:
1538:
1534:
1530:
1525:
1523:
1519:
1515:
1511:
1507:
1503:
1499:
1495:
1491:
1487:
1483:
1474:
1467:
1464:
1459:
1452:
1447:
1445:
1443:
1439:
1435:
1431:
1427:
1423:
1418:
1415:
1413:
1409:
1406:= 15 eV, and
1405:
1398:
1394:
1390:
1384:
1380:
1375:
1373:
1369:
1368:antenna array
1365:
1361:
1356:
1354:
1350:
1345:
1341:
1337:
1333:
1329:
1326:mesh of thin
1325:
1317:
1315:
1313:
1309:
1305:
1301:
1293:
1291:
1287:
1280:
1278:
1275:
1273:
1269:
1265:
1261:
1257:
1252:
1249:
1245:
1241:
1237:
1233:
1221:
1216:
1214:
1209:
1207:
1202:
1201:
1199:
1198:
1191:
1188:
1186:
1183:
1181:
1178:
1176:
1173:
1171:
1168:
1166:
1163:
1161:
1158:
1156:
1153:
1151:
1148:
1146:
1143:
1141:
1138:
1136:
1133:
1131:
1128:
1126:
1123:
1121:
1118:
1116:
1113:
1111:
1108:
1106:
1103:
1101:
1098:
1096:
1093:
1091:
1088:
1086:
1083:
1081:
1078:
1076:
1073:
1071:
1068:
1066:
1063:
1061:
1058:
1056:
1053:
1051:
1048:
1046:
1043:
1041:
1038:
1036:
1033:
1031:
1028:
1026:
1023:
1021:
1018:
1016:
1013:
1012:
1006:
1005:
998:
995:
993:
990:
988:
985:
983:
980:
978:
975:
973:
970:
968:
965:
963:
960:
959:
956:
951:
950:
943:
940:
938:
935:
933:
930:
928:
925:
923:
920:
918:
915:
913:
910:
908:
905:
903:
900:
898:
895:
893:
890:
888:
885:
883:
880:
878:
875:
874:
871:
866:
865:
858:
855:
853:
850:
848:
845:
843:
840:
838:
835:
833:
830:
828:
825:
823:
820:
818:
815:
813:
812:Joule heating
810:
808:
805:
803:
800:
798:
795:
793:
790:
788:
785:
783:
780:
778:
775:
773:
770:
768:
765:
764:
761:
756:
755:
748:
745:
743:
740:
738:
735:
733:
730:
728:
727:Lorentz force
725:
723:
720:
718:
715:
713:
710:
708:
705:
703:
700:
698:
695:
693:
690:
688:
685:
683:
680:
678:
675:
673:
670:
668:
665:
663:
660:
658:
655:
654:
651:
646:
645:
638:
635:
633:
630:
628:
627:Magnetization
625:
623:
620:
618:
615:
613:
612:Magnetic flux
610:
608:
605:
603:
600:
598:
595:
593:
590:
588:
585:
584:
581:
576:
575:
568:
565:
563:
560:
558:
555:
553:
550:
548:
545:
543:
540:
538:
535:
533:
530:
528:
525:
523:
520:
518:
517:Electric flux
515:
513:
510:
508:
505:
503:
500:
498:
495:
493:
490:
488:
485:
483:
480:
479:
476:
471:
470:
465:
462:
460:
457:
455:
454:Computational
452:
450:
447:
445:
442:
440:
437:
435:
432:
431:
430:
429:
425:
421:
420:
417:
413:
409:
408:
402:
400:
398:
394:
390:
389:subwavelength
385:
383:
378:
373:
371:
367:
363:
359:
355:
350:
348:
340:
338:
335:
331:
329:
325:
321:
317:
313:
308:
306:
302:
298:
294:
290:
286:
281:
279:
275:
271:
267:
263:
259:
256:
249:
247:
245:
241:
237:
233:
229:
220:
218:
215:
214:beam scanning
211:
207:
203:
199:
195:
192:channels of (
191:
187:
183:
182:ground planes
175:
173:
169:
163:The DNG shell
162:
160:
158:
154:
150:
146:
141:
139:
134:
132:
128:
124:
116:
114:
112:
108:
104:
100:
95:
93:
90:and portable
89:
88:micro-sensors
84:
82:
77:
72:
70:
66:
62:
58:
54:
50:
46:
45:metamaterials
42:
38:
31:
27:
23:
18:
5231:
5225:
5207:
5201:. Retrieved
5196:
5186:
5168:
5110:
5106:
5099:
5056:
5052:
5042:
5009:
5005:
4995:
4984:. Retrieved
4956:
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