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Coherent anti-Stokes Raman spectroscopy

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might have to compete with other fluorescent processes. The CARS signal is detected on the blue side, which is free from fluorescence, but it comes with a non-resonant contribution. The differences between the signals from Raman and CARS (there are many variants of both techniques) stems largely from the fact that Raman relies on a spontaneous transition whereas CARS relies on a coherently driven transition. The total Raman signal collected from a sample is the incoherent addition of the signal from individual molecules. It is therefore linear in the concentration of those molecules and the signal is emitted in all directions. The total CARS signal comes from a coherent addition of the signal from individual molecules. For the coherent addition to be additive, phase-matching must be fulfilled. For tight focusing conditions this is generally not a restriction. Once phase-matching is fulfilled the signal amplitude grows linearly with distance so that the power grows quadratically. This signal forms a collimated beam that is therefore easily collected. The fact that the CARS signal is quadratic in the distance makes it quadratic with respect to the concentration and therefore especially sensitive to the majority constituent. The total CARS signal also contains an inherent non-resonant background. This non-resonant signal can be considered as the result of (several) far off-resonance transitions that also add coherently. The resonant amplitude contains a phase shift of π/2 radians over the resonance whereas the non-resonant part does not. The
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92.14×10 kg/mol. Therefore, the focal volume (~1 cubic micrometre) contains 6×10 molecules. Those molecules together generate a Raman signal in the order of 2×10 W (20 pW) or roughly one hundred million photons/sec (over 4π steradians). A CARS experiment with similar parameters (150 mW at 1064 nm, 200 mW at 803.5 nm, 15ps pulses at 80 MHz repetition frequency, same objective lens) yields roughly 17.5×10 W (on the 3000 cm line, which has 1/3 of the strength and roughly 3 times the width). This CARS power is roughly 10 higher than the Raman but since there are 6×10 molecules, the signal per molecule from CARS is only 4×10 W/molecule·s or 1.7×10 photons/molecule·s. If we allow two factors of three (line strength and line width) then the spontaneous Raman signal per molecule still exceeds the CARS per molecule by more than two orders of magnitude. The coherent addition of the CARS signal from the molecules however yields a total signal that is much higher than the Raman.
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situations (a factor of 10) using CARS. Imaging of known substances (known spectra) is therefore often done using CARS. Given the fact that CARS is a higher order nonlinear process, the CARS signal from a single molecule is larger than the Raman signal from a single molecule for a sufficiently high driving intensity. However, at very low concentrations, the advantages of the coherent addition for the CARS signal are reduced and the presence of the incoherent background becomes an increasing problem.
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molecule is no longer in a superposition, as it resides again in one state, the ground state. In the quantum mechanical model, no energy is deposited in the molecule during the CARS process. Instead, the molecule acts like a medium for converting the frequencies of the three incoming waves into a CARS signal (a parametric process). There are, however, related coherent Raman processes that occur simultaneously which do deposit energy into the molecule.
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used as an indication of the order of magnitude of the signals. 200 mW average power input (CW for the Raman), in a 0.9NA objective with a center wavelength around 800 nm, constitutes a power density of 26 MW/cm, (focus length = 1.5 micrometre, focus volume = 1.16 micrometre, photon energy = 2.31×10 J or 1.44 eV). The Raman cross section for the vibration of the aromatic ring in
237:) between the pump and the Stokes beams instead. This driving mechanism is similar to hearing the low combination tone when striking two different high tone piano keys: your ear is sensitive to the difference in the frequencies of the high tones. Similarly, the Raman oscillator is susceptible to the difference in frequency between two optical waves. When the difference of frequency ω 383: 210: 1701: 1461: 488:
CARS spectroscopy can be used for temperature measurements; because the CARS signal is temperature dependent. The strength of the signal scales (non-linearly) with the difference in the ground state population and the vibrationally excited state population. Since the population of states follows the
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between the incident beams matches a Raman frequency of the sample. Maker and Terhune called their technique simply 'three wave mixing experiments'. The name coherent anti-Stokes Raman spectroscopy was assigned almost ten years later, by Begley et al. at Stanford University in 1974. Since then, this
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can be used as an instantaneous gateway to address a vibrational eigenstate of the molecule. The joint action of the pump and the Stokes has effectively established a coupling between the ground state and the vibrationally excited state of the molecule. The molecule is now in two states at the same
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CARS is often compared to Raman spectroscopy as both techniques probe the same Raman active modes. Raman can be done using a single continuous wave (CW) laser whereas CARS requires (generally) two pulsed laser sources. The Raman signal is detected on the red side of the incoming radiation where it
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Since CARS is such a nonlinear process there are not really any 'typical' experimental numbers. One example is given below under the explicit warning that just changing the pulse duration by one order of magnitude changes the CARS signal by three orders of magnitude. The comparison should only be
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Theoretically Raman spectroscopy and CARS spectroscopy are equally sensitive as they use the same molecular transitions. However, given the limits on input power (damage threshold) and detector noise (integration time), the signal from a single transition can be collected much faster in practical
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of states. This coherence between the states can be probed by the probe beam, which promotes the system to a virtual state. Again, the molecule cannot stay in the virtual state and will fall back instantaneously to the ground state under the emission of a photon at the anti-Stokes frequency. The
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around 1000 cm is on the order of 10cm/molecule·steradian. Therefore, the Raman signal is around 26×10 W/molecule·steradian or 3.3×10 W/molecule (over 4π steradians). That is 0.014 photon/sec·molecule. The density of toluene = 0.8668×10 kg/m, molecular mass =
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It is very similar to the more common CARS except it uses an anti-Stokes frequency stimulation beam and a Stokes frequency beam is observed (the opposite of CARS). This is disadvantageous because anti-stokes processes must start in a less populated excited state.
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of the material. This periodic modulation can be probed by a third laser beam, the probe beam. When the probe beam is propagating through the periodically altered medium, it acquires the same modulation. Part of the probe, originally at
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pronounced as "scissors") is closely related to Raman spectroscopy and lasing processes. It is very similar to CARS except it uses an anti-Stokes frequency stimulation beam and a Stokes frequency beam is observed (the opposite of CARS).
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While intuitive, this classical picture does not take into account the quantum mechanical energy levels of the molecule. Quantum mechanically, the CARS process can be understood as follows. Our molecule is initially in the
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Coherent Stokes Raman spectroscopy (CSRS pronounced as "scissors") is a form of spectroscopy used primarily in chemistry, physics and related fields. It is closely related to Raman spectroscopy and
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which is shifted with respect to the Raman signal. To compare the spectra from multi-component compounds, the (resonant) CARS spectral amplitude should be compared to the Raman spectral intensity.
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of the molecule and it can not be occupied but it does allow for transitions between otherwise unoccupied real states. If a Stokes beam is simultaneously present along with the pump, the
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The sensitivity in many CARS experiments is not limited by the detection of CARS photons but rather by the distinction between the resonant and non-resonant part of the CARS signal.
249:, the oscillator is driven very efficiently. On a molecular level, this implies that the electron cloud surrounding the chemical bond is vigorously oscillating with the frequency ω 130:, and then directed the two beams simultaneously onto the sample. When the pulses from both beams overlapped in space and time, the Ford researchers observed a signal at ω+ω 953: 588: 39:, typically the nuclear vibrations of chemical bonds. Unlike Raman spectroscopy, CARS employs multiple photons to address the molecular vibrations, and produces a 1171: 545:
Tolles, W.M.; Nibler, J.W.; McDonald, J.R.3; Harvey, A.B. (1977). "A Review of the Theory and Application of Coherent Anti-Stokes Raman Spectroscopy (CARS)".
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CARS is used for species selective microscopy and combustion diagnostics. The first exploits the selectivity of vibrational spectroscopy. More recently,
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Maker, P.D.; Terhune, R.W. (1965). "Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength".
1552: 1542: 134:, which is the blue-shifted CARS signal. They also demonstrated that the signal increases significantly when the difference frequency ω 1603: 630: 714:
Deckert, V.; Deckert-Gaudig, T.; Cialla-May, D.; Popp, J.; Zell, R.; Deinhard-Emmer, S.; Sokolov, A.V.; Yi, Z.; Scully, M.O. (2020).
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Evans, C.L.; Xie, X.S. (2008). "Coherent Anti-Stokes Raman Scattering Microscopy: Chemical Imaging for Biology and Medicine".
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model that incorporates the energy levels of the molecule. Classically, the Raman active vibrator is modeled as a (damped)
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processes. It is very similar to Raman spectroscopy, but involves a lasing process that dramatically improves the signal.
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Ellis, David I.; Cowcher, David P.; Ashton, Lorna; O'Hagan, Steve; Goodacre, Royston (2013). Ellis, David I. (ed.).
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signal. As a result, CARS is orders of magnitude stronger than spontaneous Raman emission. CARS is a third-order
339: 257:. These electron motions alter the optical properties of the sample, i.e. there is a periodic modulation of the 178: 1673: 1644: 372: 1465: 1297: 993: 296: 291: 464:, a particular implementation of the Coherent anti-Stokes Raman spectroscopy microscopy, is used to study 83:). The latter is resonantly enhanced when the frequency difference between the pump and the Stokes beams (ω 1527: 1084: 490: 1453: 1325: 1056: 970: 606: 582: 229:. In CARS, this oscillator is not driven by a single optical wave, but by the difference in frequency (ω 217:
The CARS process can be physically explained by using either a classical oscillator model or by using a
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and related fields. It is sensitive to the same vibrational signatures of molecules as seen in
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has been utilized as a method for non-invasive imaging of lipids in biological samples, both
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and team used femtosecond adaptive spectroscopic techniques via CARS to identify individual
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Begley, R.F.; Harvey, A.B.; Byer, R.L. (1974). "Coherent anti-Stokes Raman spectroscopy".
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In 1965, a paper was published by two researchers of the Scientific Laboratory at the
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vibrationally sensitive nonlinear optical technique has been commonly known as CARS.
67:. These beams interact with the sample and generate a coherent optical signal at the 877: 574: 1712: 1649: 962: 24: 815: 1588: 68: 723:
Proceedings of the National Academy of Sciences of the United States of America
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Ori Katz; Adi Natan; Salman Rosenwaks; Yaron Silberberg (December 2008).
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10.1002/1097-4555(200008/09)31:8/9<653::AID-JRS597>3.0.CO;2-W
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Rotating-polarization coherent anti-Stokes Raman spectroscopy
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Rotating-polarization coherent anti-Stokes Raman spectroscopy
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Coherent anti-Stokes Raman spectrum of microscopy oil.
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Scattering, absorption and radiative transfer (optics)
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(August–September 2000). 358:Learn how and when to remove this message 197:Learn how and when to remove this message 1155:Extended X-ray absorption fine structure 321:This section includes a list of general 160:This section includes a list of general 1523:Coherent anti-Stokes Raman spectroscopy 537: 17:Coherent anti-Stokes Raman spectroscopy 862:10.1146/annurev.anchem.1.031207.112754 580: 842:Annual Review of Analytical Chemistry 7: 1700: 1460: 515:Coherent Raman scattering microscopy 444:Coherent Raman scattering microscopy 225:with a characteristic frequency of ω 91:) coincides with the frequency of a 1553:Surface-enhanced Raman spectroscopy 1543:Spatially offset Raman spectroscopy 1604:Stimulated Raman adiabatic passage 417:Coherent Stokes Raman spectroscopy 327:it lacks sufficient corresponding 166:it lacks sufficient corresponding 103:Coherent Stokes Raman spectroscopy 14: 1372:Deep-level transient spectroscopy 1124:Saturated absorption spectroscopy 51:beams: a pump beam of frequency ω 1699: 1688: 1687: 1459: 1448: 1447: 1377:Dual-polarization interferometry 312: 304:Comparison to Raman spectroscopy 151: 1563:Transmission Raman spectroscopy 1558:Tip-enhanced Raman spectroscopy 1392:Scanning tunneling spectroscopy 1367:Circular dichroism spectroscopy 1362:Acoustic resonance spectroscopy 295:time: it resides in a coherent 63:and a probe beam at frequency ω 1321:Fourier-transform spectroscopy 1009:Vibrational circular dichroism 126:to create a second beam at ω-ω 97:vibrational contrast mechanism 1: 1667:Journal of Raman Spectroscopy 1548:Stimulated Raman spectroscopy 1119:Cavity ring-down spectroscopy 1024:Thermal infrared spectroscopy 611:Journal of Raman Spectroscopy 1533:Resonance Raman spectroscopy 1253:Inelastic neutron scattering 396:groups symmetric vibration). 1314:Data collection, processing 1190:Photoelectron/photoemission 1761: 1399:Photoacoustic spectroscopy 1341:Time-resolved spectroscopy 567:10.1366/000370277774463625 441: 266:will now get modified to ω 1683: 1443: 1425:Astronomical spectroscopy 1404:Photothermal spectroscopy 501:CARS-based detectors for 1674:Vibrational Spectroscopy 1645:Rule of mutual exclusion 666:10.1103/PhysRev.137.A801 373:spectroscopic line shape 47:process involving three 1409:Pump–probe spectroscopy 1298:Ferromagnetic resonance 1090:Laser-induced breakdown 754:10.1073/pnas.2013169117 681:Applied Physics Letters 505:are under development. 342:more precise citations. 181:more precise citations. 1528:Raman optical activity 1105:Glow-discharge optical 1085:Raman optical activity 999:Rotational–vibrational 491:Boltzmann distribution 489:temperature dependent 484:Combustion diagnostics 397: 214: 1740:Instrumental analysis 1326:Hyperspectral imaging 385: 212: 1620:Depolarization ratio 1078:Coherent anti-Stokes 1033:UV–Vis–NIR "Optical" 547:Applied Spectroscopy 1640:Rayleigh scattering 1579:Raman amplification 1382:Hadron spectroscopy 1172:Conversion electron 1133:X-ray and Gamma ray 1040:Ultraviolet–visible 906:2013Ana...138.3871E 854:2008ARAC....1..883E 745:2020PNAS..11727820D 729:(45): 27820–27824. 693:1974ApPhL..25..387B 658:1965PhRv..137..801M 623:2000JRSp...31..653Z 559:1977ApSpe..31..253T 388:Pump beam: 800 nm; 223:harmonic oscillator 213:CARS energy diagram 59:beam of frequency ω 1735:Raman spectroscopy 1509:Raman spectroscopy 1430:Force spectroscopy 1355:Measured phenomena 1346:Video spectroscopy 1050:Cold vapour atomic 915:10.1039/C3AN00698K 497:Other applications 398: 219:quantum mechanical 215: 120:Ford Motor Company 37:Raman spectroscopy 27:used primarily in 1722: 1721: 1475: 1474: 1439: 1438: 1331:Spectrophotometry 1258:Neutron spin echo 1232:Beta spectroscopy 1145:Energy-dispersive 701:10.1063/1.1655519 368: 367: 360: 207: 206: 199: 45:nonlinear optical 1752: 1703: 1702: 1691: 1690: 1635:Raman scattering 1630:Nonlinear optics 1625:Four-wave mixing 1594:Raman microscope 1502: 1495: 1488: 1479: 1463: 1462: 1451: 1450: 1311: 1222:phenomenological 971:Vibrational (IR) 956: 949: 942: 933: 927: 917: 891: 881: 826: 825: 812: 806: 805: 803: 797:. 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Moreover, 457: 453: 447: 433:Applications 427: 420: 412: 403: 399: 377:Fano profile 369: 354: 345: 326: 284:ground state 280: 245:approaches ω 216: 193: 184: 165: 117: 106: 102: 101: 71:frequency (ω 25:spectroscopy 20: 16: 15: 1589:Raman laser 1004:Vibrational 848:: 883–909. 480:particles. 472:. In 2020, 340:introducing 179:introducing 69:anti-Stokes 1729:Categories 1516:Techniques 1210:Two-photon 1112:absorption 994:Rotational 736:2003.07951 532:References 348:April 2024 323:references 288:eigenstate 187:April 2024 162:references 1288:Terahertz 1269:Radiowave 1167:Mössbauer 527:(RP-CARS) 143:Principle 29:chemistry 1694:Category 1659:Journals 1454:Category 1183:Electron 1150:Emission 1100:emission 1057:Vibronic 924:23722248 878:15904719 870:20636101 773:33093197 575:98395453 509:See also 458:in vitro 41:coherent 1706:Commons 1599:SHERLOC 1466:Commons 1293:ESR/EPR 1241:Nucleon 1069:(REMPI) 902:Bibcode 894:Analyst 850:Bibcode 764:7668096 741:Bibcode 689:Bibcode 654:Bibcode 619:Bibcode 555:Bibcode 462:RP-CARS 454:in vivo 407:toluene 336:improve 175:improve 114:History 33:physics 1613:Theory 1307:Others 1095:Atomic 922:  876:  868:  771:  761:  573:  474:Scully 466:myelin 423:lasing 325:, but 164:, but 57:Stokes 1248:Alpha 1217:Auger 1195:X-ray 1162:Gamma 1140:X-ray 1073:Raman 984:Raman 979:FT-IR 890:(PDF) 874:S2CID 802:(PDF) 791:(PDF) 731:arXiv 719:(PDF) 571:S2CID 478:virus 49:laser 920:PMID 866:PMID 769:PMID 589:link 468:and 456:and 107:CSRS 55:, a 21:CARS 1276:NMR 910:doi 898:138 858:doi 821:BBC 795:OPN 759:PMC 749:doi 727:117 697:doi 662:doi 650:137 627:doi 563:doi 1731:: 1281:2D 1200:UV 918:. 908:. 896:. 892:. 872:. 864:. 856:. 844:. 818:. 793:. 767:. 757:. 747:. 739:. 725:. 721:. 695:. 685:25 683:. 660:. 648:. 625:. 615:31 613:. 609:. 597:^ 585:}} 581:{{ 569:. 561:. 551:31 549:. 274:-ω 270:+ω 268:pr 264:pr 253:-ω 241:-ω 233:-ω 99:. 87:-ω 79:-ω 75:+ω 73:pr 65:pr 31:, 1501:e 1494:t 1487:v 955:e 948:t 941:v 926:. 912:: 904:: 880:. 860:: 852:: 846:1 775:. 751:: 743:: 733:: 703:. 699:: 691:: 668:. 664:: 656:: 633:. 629:: 621:: 591:) 577:. 565:: 557:: 394:2 361:) 355:( 350:) 346:( 332:. 276:S 272:p 262:ω 255:S 251:p 247:v 243:S 239:p 235:S 231:p 227:v 200:) 194:( 189:) 185:( 171:. 136:v 132:v 128:v 105:( 89:S 85:p 81:S 77:p 61:S 53:p

Index

spectroscopy
chemistry
physics
Raman spectroscopy
coherent
nonlinear optical
laser
Stokes
anti-Stokes
Raman resonance
vibrational contrast mechanism
Ford Motor Company
Raman shifter
references
inline citations
improve
introducing
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quantum mechanical
harmonic oscillator
refractive index
ground state
eigenstate
virtual state
superposition
references
inline citations
improve
introducing

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