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612:(younger brother of Alan) went a step beyond Fresnel with his "holophotal" lens, which focused the light radiated by the lamp in nearly all directions, forward or backward, into a single beam. The first version, described in 1849, consisted of a standard Fresnel bull's-eye lens, a paraboloidal reflector, and a rear hemispherical reflector (functionally equivalent to the Rogers mirror of 60 years earlier, except that it subtended a whole hemisphere). Light radiated into the forward hemisphere but missing the bull's-eye lens was deflected by the paraboloid into a parallel beam surrounding the bull's-eye lens, while light radiated into the backward hemisphere was reflected back through the lamp by the spherical reflector (as in Rogers' arrangement), to be collected by the forward components. The first unit was installed at North Harbour,
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616:, in August 1849. Stevenson called this version a "catadioptric holophote", although each of its elements was either purely reflective or purely refractive. In the second version of the holophote concept, the bull's-eye lens and paraboloidal reflector were replaced by a catadioptric Fresnel lens—as conceived by Fresnel, but expanded to cover the whole forward hemisphere. The third version, which Stevenson confusingly called a "dioptric holophote", was more innovative: it retained the catadioptric Fresnel lens for the front hemisphere, but replaced the rear hemispherical reflector with a hemispherical array of annular prisms, each of which used
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635:
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361:('lenses by steps') to replace the reflectors then in use, which reflected only about half of the incident light. Another report by Fresnel, dated 29 August 1819 (Fresnel, 1866–70, vol. 3, pp. 15–21), concerns tests on reflectors, and does not mention stepped lenses except in an unrelated sketch on the last page of the manuscript. The minutes of the meetings of the Commission go back only to 1824, when Fresnel himself took over as Secretary. Thus the exact date on which Fresnel formally recommended
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20:
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1496:. The "meatball" light aids the pilot in maintaining proper glide slope for the landing. In the center are amber and red lights composed of Fresnel lenses. Although the lights are always on, the angle of the lens from the pilot's point of view determines the color and position of the visible light. If the lights appear above the green horizontal bar, the pilot is too high. If it is below, the pilot is too low, and if the lights are red, the pilot is very low.
430:, giving eight rotating beams—to be seen by mariners as a periodic flash. Above and behind each main panel was a smaller, sloping bull's-eye panel of trapezoidal outline with trapezoidal elements. This refracted the light to a sloping plane mirror, which then reflected it horizontally, 7 degrees ahead of the main beam, increasing the duration of the flash. Below the main panels were 128 small mirrors arranged in four rings, stacked like the slats of a
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1308:. Imaging Fresnel lenses use segments with curved cross-sections and produce sharp images, while non-imaging lenses have segments with flat cross-sections, and do not produce sharp images. As the number of segments increases, the two types of lens become more similar to each other. In the abstract case of an infinite number of segments, the difference between curved and flat segments disappears.
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718:
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544:('lighthouse map'), calling for a system of 51 lighthouses plus smaller harbor lights, in a hierarchy of lens sizes called "orders" (the first being the largest), with different characteristics to facilitate recognition: a constant light (from a fixed lens), one flash per minute (from a rotating lens with eight panels), and two per minute (16 panels).
531:) rings above and below the refracting (dioptric) parts, the entire apparatus would look like a beehive. The second Fresnel lens to enter service was indeed a fixed lens, of third order, installed at Dunkirk by 1 February 1825. However, due to the difficulty of fabricating large toroidal prisms, this apparatus had a 16-sided polygonal plan.
29:, Paris. In this case the dioptric prisms (inside the bronze rings) and catadioptric prisms (outside) are arranged to concentrate the light from the central lamp into four revolving beams, seen by sailors as four flashes per revolution. The assembly stands 2.54 metres (8.3 ft) tall and weighs about 1.5 tonnes (3,300 lb).
1469:) to tint the light or wire screens or frosted plastic to diffuse it. The Fresnel lens is useful in the making of motion pictures not only because of its ability to focus the beam brighter than a typical lens, but also because the light is a relatively consistent intensity across the entire width of the beam of light.
1465:, to increase or decrease the size of the light beam. As a result, they are very flexible, and can often produce a beam as narrow as 7° or as wide as 70°. The Fresnel lens produces a very soft-edged beam, so is often used as a wash light. A holder in front of the lens can hold a colored plastic film (
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patented a method of making lenses from pressed and molded glass. The company made small bull's-eye lenses for use on railroads, steamboats, and docks; such lenses were common in the United States by the 1870s. In 1858 the company produced "a very small number of pressed flint-glass sixth-order
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entering the UK and
Republic of Ireland (and vice versa, right-hand-drive Irish and British trucks entering mainland Europe) to overcome the blind spots caused by the driver operating the lorry while sitting on the wrong side of the cab relative to the side of the road the car is on. They attach to
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A non-imaging spot
Fresnel lens uses ring-shaped segments with cross sections that are straight lines rather than circular arcs. Such a lens can focus light on a small spot, but does not produce a sharp image. These lenses have application in solar power, such as focusing sunlight on a solar panel.
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The development of hyper-radial lenses was driven in part by the need for larger light sources, such as gas lights with multiple jets, which required a longer focal length for a given beam-width, hence a larger lens to collect a given fraction of the generated light. The first hyper-radial lens was
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in the planar
Fresnel element. These lenses conferred many practical benefits upon the designers, builders, and users of lighthouses and their illumination. Among other things, smaller lenses could fit into more compact spaces. Greater light transmission over longer distances, and varied patterns,
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eliminated the need for filters by inventing the "group-flashing" lens, in which the dioptric and/or the catadioptric panels were split so as to give multiple flashes—allowing lighthouses to be identified not only by frequency of flashes, but also by multiplicity of flashes. Double-flashing lenses
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The day before the test of the
Cordouan lens in Paris, a committee of the Academy of Sciences reported on Fresnel's memoir and supplements on double refraction—which, although less well known to modern readers than his earlier work on diffraction, struck a more decisive blow for the wave theory of
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catadioptric first-order lens, installed at Pointe d'Ailly in 1852, also gave eight rotating beams plus a fixed light at the bottom; but its top section had eight catadioptric panels focusing the light about 4 degrees ahead of the main beams, in order to lengthen the flashes. The first fully
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based on their size and focal length. The 3rd and 4th orders were sub-divided into "large" and "small". In modern use, the orders are classified as first through sixth order. An intermediate size between third and fourth order was added later, as well as sizes above first order and below sixth.
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in London. Later, to ease manufacturing, Chance divided the prisms into segments, and arranged them in a cylindrical form while retaining the property of reflecting light from a single point back to that point. Reflectors of this form, paradoxically called "dioptric mirrors", proved particularly
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In some lenses, the curved surfaces are replaced with flat surfaces, with a different angle in each section. Such a lens can be regarded as an array of prisms arranged in a circular fashion with steeper prisms on the edges and a flat or slightly convex center. In the first (and largest) Fresnel
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The
Fresnel lens reduces the amount of material required compared to a conventional lens by dividing the lens into a set of concentric annular sections. An ideal Fresnel lens would have an infinite number of sections. In each section, the overall thickness is decreased compared to an equivalent
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High-quality glass
Fresnel lenses were used in lighthouses, where they were considered state of the art in the late 19th and through the middle of the 20th centuries; most lighthouses have now retired glass Fresnel lenses from service and replaced them with much less expensive and more durable
1325:, using ring-shaped segments that are each a portion of a sphere, that all focus light on a single point. This type of lens produces a sharp image, although not quite as clear as the equivalent simple spherical lens due to diffraction at the edges of the ridges. This type is sometimes called a
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The first stage of the development of lighthouse lenses after the death of
Augustin Fresnel consisted in the implementation of his designs. This was driven in part by his younger brother Léonor—who, like Augustin, was trained as a civil engineer but, unlike Augustin, had a strong aptitude for
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Fresnel acknowledged the
British lenses and Buffon's invention in a memoir read on 29 July 1822 and printed in the same year. The date of that memoir may be the source of the claim that Fresnel's lighthouse advocacy began two years later than Brewster's; but the text makes it clear that
1606:, plastic Fresnel screens appear ostensibly as magnifiers for the small CRT monitors used throughout the offices of the Ministry of Information. However, they occasionally appear between the actors and the camera, distorting the scale and composition of the scene to humorous effect. The
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2, vol. 17, pp. 102–111 (May 1821), 167–196 (June 1821), 312–315 ("Postscript", July 1821); reprinted in
Fresnel, 1866–1870, vol. 1, pp. 609–648; translated as "On the calculation of the tints that polarization develops in crystalline plates, & postscript",
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A non-imaging linear
Fresnel lens uses straight segments whose cross sections are straight lines rather than arcs. These lenses focus light into a narrow band. They do not produce a sharp image, but can be used in solar power, such as for focusing sunlight on a pipe, to heat the water
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Fresnel lens design allows a substantial reduction in thickness (and thus mass and volume of material) at the expense of reducing the imaging quality of the lens, which is why precise imaging applications such as photography usually still use larger conventional lenses.
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The use of Fresnel lenses for image projection reduces image quality, so they tend to occur only where quality is not critical or where the bulk of a solid lens would be prohibitive. Cheap Fresnel lenses can be stamped or molded of transparent plastic and are used in
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with a ratio of almost 500:1. This allows the active solar-cell surface to be reduced, lowering cost and allowing the use of more efficient cells that would otherwise be too expensive. In the early 21st century, Fresnel reflectors began to be used in
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508:, becoming the first member of that body to draw a salary, albeit in the concurrent role of Engineer-in-Chief. Late that year, being increasingly ill, he curtailed his fundamental research and resigned his seasonal job as an examiner at the
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1339:, using straight segments with circular cross-section, focusing light on a single line. This type produces a sharp image, although not quite as clear as the equivalent simple cylindrical lens due to diffraction at the edges of the ridges.
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With an official budget of 500 francs, Fresnel approached three manufacturers. The third, François Soleil, found a way to remove defects by reheating and remolding the glass. Arago assisted Fresnel with the design of a modified
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under Fresnel's supervision—in part by Fresnel's own hands. On 25 July 1823, the world's first lighthouse Fresnel lens was lit. As expected, the light was visible to the horizon, more than 32 kilometres (20 mi) out.
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cm on a side, containing 97 polygonal (not annular) prisms—and so impressed the Commission that Fresnel was asked for a full eight-panel version. This model, completed a year later in spite of insufficient funding, had panels
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without the mass and volume of material that would be required by a lens of conventional design. A Fresnel lens can be made much thinner than a comparable conventional lens, in some cases taking the form of a flat sheet.
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In late 1825, to reduce the loss of light in the reflecting elements, Fresnel proposed to replace each mirror with a catadioptric prism, through which the light would travel by refraction through the first surface, then
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projection. The collimator lens has the lower focal length and is placed closer to the light source, and the collector lens, which focuses the light into the triplet lens, is placed after the projection image (an
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lenses" for use in lighthouses—the first Fresnel lighthouse lenses made in America. By the 1950s, the substitution of plastic for glass made it economic to use Fresnel lenses as condensers in overhead projectors.
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lens, lit in 1844, was only partly catadioptric; it was similar to the Cordouan lens except that the lower slats were replaced by French-made catadioptric prisms, while mirrors were retained at the top. The first
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In 1825 Fresnel extended his fixed-lens design by adding a rotating array outside the fixed array. Each panel of the rotating array was to refract part of the fixed light from a horizontal fan into a narrow beam.
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cameras, where they provide multiple in- and out-of-focus images of a fixation target inside the camera. For virtually all users, at least one of the images will be in focus, thus allowing correct eye alignment.
338:'s employer, the Corps of Bridges and Roads. As the members of the commission were otherwise occupied, it achieved little in its early years. However, on 21 June 1819—three months after winning the physics
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lenses, each section was actually a separate prism. 'Single-piece' Fresnel lenses were later produced, being used for automobile headlamps, brake, parking, and turn signal lenses, and so on. In modern times,
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have used Fresnel lenses to reduce the size of telephoto lenses. Photographic lenses that include Fresnel elements can be much shorter than corresponding conventional lens design. Nikon calls the technology
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suggested that it would be easier to make the annular sections separately and assemble them on a frame; but even that was impractical at the time. These designs were intended not for lighthouses, but for
879: in) and stands about 2.59 m (8 ft 6 in) high, and 1.8 m (6 ft) wide. The smallest (sixth) order has a focal length of 150 mm (6 in) and a height of 433 mm (
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1422:, where they can shape the roughly parallel beam from the parabolic reflector to meet requirements for dipped and main-beam patterns, often both in the same headlamp unit (such as the European
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elements, arrayed in faceted domes above and below the central planar Fresnel, in order to catch all light emitted from the light source. The light path through these elements can include an
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the metal rings seen in the photographs. While the inner elements are sections of refractive lenses, the outer elements are reflecting prisms, each of which performs two refractions and one
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total internal reflections to turn light diverging from the center of the hemisphere back toward the center. The result was an all-glass holophote, with no losses from metallic reflections.
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Fresnel lenses are usually made of glass or plastic; their size varies from large (old historical lighthouses, meter size) to medium (book-reading aids, OHP viewgraph projectors) to small (
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1461:. The entire instrument consists of a metal housing, a reflector, a lamp assembly, and a Fresnel lens. Many Fresnel instruments allow the lamp to be moved relative to the lens'
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off the second surface, then refraction through the third surface. The result was the lighthouse lens as we now know it. In 1826 he assembled a small model for use on the
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cm square. In a public spectacle on the evening of 13 April 1821, it was demonstrated by comparison with the most recent reflectors, which it suddenly rendered obsolete.
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in 1789. Behind each lamp was a back-coated spherical glass mirror, which reflected rear radiation back through the lamp and into the lens. Further samples were installed at
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simple lens. This effectively divides the continuous surface of a standard lens into a set of surfaces of the same curvature, with stepwise discontinuities between them.
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Shishavanf, Amir Asgharzadeh; Nordin, Leland; Tjossem, Paul; Abramoff, Michael D.; Toor, Fatima (2016), Engheta, Nader; Noginov, Mikhail A.; Zheludev, Nikolay I (eds.),
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cm and indicates that the first panel was tested on 31 October 1820; cf. Fresnel, 1866–70, vol. 3, pp. xxxii & xxxiv, and Fresnel, 1822, tr. Tag, p.
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Most modern Fresnel lenses consist only of refractive elements. Lighthouse lenses, however, tend to include both refracting and reflecting elements, the latter being
315:). The design was later improved by replacing the mirrors with reflective prisms to reduce losses. If the cross-section in every vertical plane through the lamp
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Since plastic Fresnel lenses can be made larger than glass lenses, as well as being much cheaper and lighter, they are used to concentrate sunlight for heating in
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made use of them in his early solo live performances to magnify the size of his head, in contrast to the rest of his body, for dramatic and comic effect. In the
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By the end of August 1819, unaware of the Buffon-Condorcet-Brewster proposal, Fresnel made his first presentation to the commission, recommending what he called
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646:. The three dioptric panels (inside the brass rings) and three catadioptric panels (outside) are partly split in two, giving three double-flashes per rotation.
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prisms, ground as steps in a single piece of glass,to reduce weight and absorption. In 1790 (although secondary sources give the date as 1773 or 1788), the
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modified Thomas Stevenson's all-glass holophotal design by arranging the double-reflecting prisms about a vertical axis. The prototype was shown at the
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lens—for spreading light evenly around the horizon while minimizing waste above or below. Ideally the curved refracting surfaces would be segments of
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J. Elton, 2009, "A Light to Lighten our Darkness: Lighthouse Optics and the Later Development of Fresnel's Revolutionary Refracting Lens 1780–1900",
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of a lens attached to the rear window permits examining the scene behind a vehicle, particularly a tall or bluff-tailed one, more effectively than a
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in Hawaii. Rather than order a new lens, the huge optic construction, 3.7 metres (12 ft) tall and with over a thousand prisms, was used there.
695:. But only about 30 hyper-radials went into service before the development of more compact bright lamps rendered such large optics unnecessary (see
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As lighthouses proliferated, they became harder to distinguish from each other, leading to the use of colored filters, which wasted light. In 1884,
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584:, France; these were fixed third-order lenses whose catadioptric rings (made in segments) were one metre in diameter. Stevenson's first-order
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which reduces the amount of material required compared to a conventional lens by dividing the lens into a set of concentric annular sections.
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A. Fresnel, 1822, "Mémoire sur un nouveau système d'éclairage des phares", read 29 July 1822; reprinted in Fresnel, 1866–1870, vol. 3,
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as well as refraction to capture more oblique light from the light source and add it to the beam, making it visible at greater distances.
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446:, reflected the light to the horizon, giving a fainter steady light between the flashes. The official test, conducted on the unfinished
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The first person to focus a lighthouse beam using a lens was apparently the London glass-cutter Thomas Rogers, who proposed the idea to
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Production of one-piece stepped dioptric lenses—roughly as envisaged by Buffon—became feasible in 1852, when John L. Gilliland of the
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about a common vertical axis, so that the dioptric panel would look like a cylindrical drum. If this was supplemented by reflecting (
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camera screens, micro-optics). In many cases they are very thin and flat, almost flexible, with thicknesses in the 1 to 5 mm (
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Lighthouses, Lenses, Illuminants, Engineering, & Augustin Fresnel: A Historical Bibliography on Works Published Through 2007
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580:, Scotland, on 22 September 1836. The first large catadioptric lenses were made in 1842 for the lighthouses at Gravelines and
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under the guidance of Léonor Fresnel, and fabricated by Isaac Cookson & Co. using French glass; it entered service at the
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was heat-resistant, making it suitable for use in the lens. The prototype, finished in March 1820, had a square lens panel 55
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208) notes that although the Skerryvore lens was lit on 1 February 1844, the catadioptric portion was yet to be added.
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design). For reasons of economy, weight, and impact resistance, newer cars have dispensed with glass Fresnel lenses, using
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management. Léonor entered the service of the Lighthouse Commission in 1825, and went on to succeed Augustin as Secretary.
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The first fixed lens to be constructed with toroidal prisms was a first-order apparatus designed by the Scottish engineer
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1399:, which themselves often contain plastic Fresnel lenses. Lighthouse Fresnel lens systems typically include extra annular
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291:, however, proposed a system similar to Condorcet's in 1811, and by 1820 was advocating its use in British lighthouses.
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A. Fresnel, "Note sur le calcul des teintes que la polarisation développe dans les lames cristallisées" et seq.,
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use Fresnel lenses, as they allow a thinner and lighter form factor than regular lenses. Newer devices, such as the
334:(Commission of Lighthouses) was established by Napoleon in 1811, and placed under the authority of French physicist
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59. The biconvex shape may be inferred from Buffon's description, quoted in Fresnel, 1822, tr. Tag, at p.
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First-order lens from Destruction Island WA, built in France 1888. Currently at Westport Maritime Museum.
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lenses. However, Fresnel lenses continue in wide use in automobile tail, marker, and reversing lights.
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1543:. They are also used to correct several visual disorders, including ocular-motility disorders such as
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Fresnel's next lens was a rotating apparatus with eight "bull's-eye" panels, made in annular arcs by
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The Rise of the Wave Theory of Light: Optical Theory and Experiment in the Early Nineteenth Century
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560:, but he did not live to see a full-sized version: he died on 14 July 1827, at the age of 39.
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Fresnel lenses have also been used in the field of popular entertainment. The British rock artist
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Because of its use in lighthouses, it has been called "the invention that saved a million ships".
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1762:(CSP) plants to concentrate solar energy. One application was to preheat water at the coal-fired
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203:(combining refraction and reflection) form of the lens, entirely invented by Fresnel, has outer
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Levitt, 2013, pp. 59–66. Levitt gives the size of the eight-panel version as 720 mm (
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used to heat water for domestic use. They can also be used to generate steam or to power a
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Soon after this demonstration, Fresnel published the idea that light, including apparently
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First-order group-flashing Fresnel lens, on display at the Point Arena Lighthouse Museum,
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900:(or hyper-radial). One such lens was on hand when it was decided to build and outfit the
687:(Hopkinson's employers) then began constructing hyper-radials, installing their first at
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3215:"The difference between pancakes lenses and current fresnel lenses found on VR headsets"
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hypothesis. Shortly after the Cordouan lens was lit, Fresnel started coughing up blood.
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light. Between the test and the reassembly at Cordouan, Fresnel submitted his papers on
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Cross-section of a first-generation Fresnel lighthouse lens, with sloping mirrors
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and his entourage—from 32 kilometres (20 mi) away. The apparatus was stored at
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useful for returning light from the landward side of the lamp to the seaward side.
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352:(a member since 1813), to review possible improvements in lighthouse illumination.
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A. Fresnel (ed. H. de Sénarmont, E. Verdet, and L. Fresnel), 1866–1870,
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3189:"Introducing Meta Quest Pro, an Advanced VR Device for Collaboration and Creation"
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2009:, Paris: Chez Buisson, 1790, pp. 11–12. (This obituary also appeared in
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is the same (cylindrical symmetry), the light is spread evenly around the horizon.
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Another automobile application of a Fresnel lens is a rear view enhancer, as the
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is unknown. Much to Fresnel's embarrassment, one of the assembled commissioners,
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features a Fresnel lens in the scenes where the protagonist watches the musical
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Fourth order lens from Cape Arago Lighthouse. Currently at Coos History Museum.
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1: Cross-section of Buffon/Fresnel lens. 2: Cross-section of conventional
348:—Fresnel was "temporarily" seconded to the commission on the recommendation of
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Buchwald, 1989, pp. 260, 288–290, 297; cf. Born & Wolf, 1999, p.
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A Short Bright Flash: Augustin Fresnel and the Birth of the Modern Lighthouse
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First-order rotating catadioptric Fresnel lens, dated 1870, displayed at the
3833:
3377:
G.-A. Boutry, 1948, "Augustin Fresnel: His time, life and work, 1788–1827",
2931:
2834:
1876:, vol. 16 (11th ed.), Cambridge University Press, pp. 627–651
1770:
1384:
800:, avoiding the light loss that occurs in reflection from a silvered mirror.
737:
Close-up view of a flat Fresnel lens shows concentric circles on the surface
613:
392:
180:
3528:
2336:
2183:
240, is a transcription error, inconsistent with the primary source cited.)
2147:, vol. 4 (11th ed.), Cambridge University Press, pp. 513–514
1415:
Perhaps the most widespread use of Fresnel lenses, for a time, occurred in
2136:
1974:
717:
691:
Lighthouse in 1887. In the same year, Barbier installed a hyper-radial at
516:, in order to save his remaining time and energy for his lighthouse work.
3718:
3556:
1635:
1419:
1326:
459:
215:
3382:
3024:"PMMA-based ophthalmic contact lens for vision correction of strabismus"
667:) in 1876. The example shown (right) is the double-flashing lens of the
3782:
3708:
3047:
2724:
1535:
portable CRT TV, which enlarges the vertical aspect of the display only
1446:
1423:
439:
371:, recalled Buffon's suggestion. However, whereas Buffon's version was
3807:
3407:
International Journal for the History of Engineering & Technology
2956:"Linear Concentrator System Concentrating Solar-Thermal Power Basics"
2381:
2322:
1611:
524:
431:
2628:
Elton, 2009, pp. 199, 200, 202; Levitt, 2013, pp. 104–105.
2449:
Fresnel, 1866–1870, vol. 1, pp. 713–718, 731–751, 767–799.
2327:
491:(7 January 1823), essentially completing his reconstruction of
1585:
alone. Fresnel lenses have been used on rangefinding equipment and
857:
Fresnel designed six sizes of lighthouse lenses, divided into four
274:
was the first to replace a convex lens with a series of concentric
1665:
1607:
1570:
1526:
1518:
1471:
1436:
1379:
1290:
Comparison of first- and fourth-order lenses (Key West Lighthouse)
850:
831:
821:
809:
732:
716:
633:
602:
in 1854, and marked the completion of Augustin Fresnel's original
298:
18:
2637:
Levitt, 2013, pp. 108–110, 113–116, 122–123. Elton (2009, p.
2192:
Fresnel, 1866–70, vol. 3, pp. 5–14; on the date, see p.
1865:
2072:
1621:
1559:
1532:
443:
3585:
3381:, vol. 36, no. 144 (October 1948), pp. 587–604;
2031:
Dictionary of Machines, Mechanics, Engine-work, and Engineering
1677:
camera used a Fresnel reflector as part of its viewing system.
1547:. Fresnel lenses have been used to increase the visual size of
1445:
Glass Fresnel lenses also are used in lighting instruments for
1093:
Breakwaters, river and channel lights, Small islands in sounds
3581:
3432:
19 August 2016. (Cited page numbers refer to the translation.)
3034:, Society of Photo-Optical Instrumentation Engineers: 99180C,
1714:
747:
116:
70:
3260:"Phase Fresnel – The "PF" in Nikon's New 300mm f/4E PF ED VR"
1492:
and naval air stations typically use Fresnel lenses in their
1074:
Shoals, reefs, harbor lights, islands in rivers and harbors
387:
with concentric wicks (a concept that Fresnel attributed to
2892:"Fresnel Lens Orders, Sizes, Weights, Quantities and Costs"
1685:
cameras can utilize a Fresnel lens in conjunction with the
1523:
A plastic Fresnel lens sold as a TV-screen enlarging device
1028:
Seacoast sounds, river entry, bays, channels, range lights
153:
144:
107:
101:
58:
52:
3565:"Seeing the Light: Lighthouses on the western Great Lakes"
3409:, vol. 79, no. 2 (July 2009), pp. 183–244;
2760:
A. Finstad, "New developments in audio-visual materials",
1856:
1854:
1852:
1850:
454:
on 20 August 1822, was witnessed by the Commission—and by
3134:"What Tech is Inside of a VR Headset? (Quest 2 Teardown)"
2604:"Appareil catadioptrique, Appareil du canal Saint-Martin"
2127:
2125:
1329:
when the ridges are microscopic, at the wavelength scale.
659:(Sri Lanka) in 1875, and a triple-flashing lens at
344:
of the Academy of Sciences for his celebrated memoir on
3079:
Lowe's Transport Manager's and Operator's Handbook 2012
2747:, U.S. Lighthouse Society, accessed 1 March 2021;
1441:
A Fresnel lantern with the lens open to show the ridges
191:, and independently reinvented by the French physicist
2727:, U.S. Lighthouse Society, accessed 28 February 2021;
1653:
Multi-focal Fresnel lenses are also used as a part of
865:
A first-order lens has a focal length of 920 mm (
502:
In May 1824, Fresnel was promoted to Secretary of the
214:
The design allows the construction of lenses of large
3577:
The Fresnel Lens: the Invention That Saved 1000 Ships
3524:
3426:"Memoir upon a new system of lighthouse illumination"
1335:
A cylindrical Fresnel lens is equivalent to a simple
379:
and made of multiple prisms for easier construction.
165:
150:
138:
125:
104:
95:
79:
67:
55:
46:
3428:, U.S. Lighthouse Society, accessed 26 August 2017;
3030:, Metamaterials, Metadevices, and Metasystems 2016,
2837:, Michigan Lighthouse Conservancy, 31 January 2008,
2075:, U.S. Lighthouse Society, accessed 12 August 2017;
2049:, U.S. Lighthouse Society, accessed 22 August 2017;
1977:, U.S. Lighthouse Society, accessed 12 August 2017;
1569:
Fresnel lenses are used in left-hand-drive European
156:
141:
110:
98:
61:
49:
3939:
International Association of Lighthouse Authorities
3924:
3893:
3847:
3816:
3745:
3701:
3649:
3642:
2107:
2105:
2103:
2101:
147:
92:
43:
1726:). Fresnel lenses are also used as collimators in
754:might be used to manufacture more complex lenses.
3311:"Soitec's high-performance Concentrix technology"
2927:Introduction to Nonimaging Optics, Second Edition
1713:, and one collector) are used in commercial and
423:Fresnel's involvement began no later than 1819.
2768:15 (1 April 1952), pp. 176–178, at p.
2677:Elton, 2009, pp. 227–230; Levitt, 2013, p.
2021:
2019:
1709:Fresnel lenses of different focal lengths (one
1646:design due to its smaller form factor and less
415:, and went on to consider the implications for
3949:International Lighthouse and Lightship Weekend
3219:VR Expert | Enterprise VR/AR Hardware Supplier
3159:"How Lenses for Virtual Reality Headsets Work"
2167:Levitt, 2013, pp. 51, 53; Elton, 2009, p.
487:(9 December), and partial reflection and
251:cm thick at the center, were installed at the
3597:
3439:(3 vols.), Paris: Imprimerie Impériale;
2910:R. Winston, J. C. Miñano, and P. G. Benítez,
2393:Fresnel, 1822, tr. Tag, pp. 13, 25.
2230:
2228:
2087:
2085:
1753:Fresnel lenses can concentrate sunlight onto
8:
3471:Miscellaneous Works of the late Thomas Young
1539:Fresnel lenses are used as simple hand-held
1457:); such instruments are often called simply
1412:made it possible to triangulate a position.
1351:Fresnel lenses may be used as components of
1318:A spherical Fresnel lens is equivalent to a
845:Walking around a fresnel lens on display in
553:
539:
509:
503:
447:
362:
356:
339:
3559:(5-minute video), Vega Science Trust, 2008.
2067:
2065:
2063:
2061:
2059:
2041:
2039:
1969:
1967:
1387:lighthouse lens and drive mechanism at the
748:computer-controlled milling equipment (CNC)
725:of equivalent power. (Buffon's version was
598:beams—also of first order—was installed at
3646:
3604:
3590:
3582:
2348:Fresnel, 1822, tr. Tag, pp. 2–4.
2011:Histoire de l'Académie Royale des Sciences
1950:"The invention that saved a million ships"
1300:There are two main types of Fresnel lens:
906:
671:, which was in service from 1908 to 1977.
307:above and below the refractive panel
2780:
2778:
2739:
2737:
2326:
1499:Fresnel lenses are also commonly used in
1343:Non-imaging lenses can be classified as:
187:) form of the lens was first proposed by
2983:, 2nd Ed., Broadway Press, 1997, p.
2417:"Science Makes a Better Lighthouse Lens"
1359:Fresnel-Köhler (FK) solar concentrators.
1231:Fourth-order lens (Sekizaki Lighthouse,
1008:lighthouses, seacoasts, islands, sounds
462:for the winter, and then reassembled at
2200:58) gives the date only as August 1819.
1818:
1153:
655:were installed at Tampico (Mexico) and
519:In the same year he designed the first
3469:T. Young (ed. G. Peacock), 1855,
3338:"This 3D printer runs on sand and sun"
2841:from the original on 21 September 2012
2796:from the original on 21 September 2015
2690:Point Arena Lighthouse Keepers, Inc.,
2171:190; Fresnel, 1866–70, vol. 1, p.
2119:, 1879, vol. 7, pp. 486–489.
2033:, 1861, vol. 2, pp. 606–618.
1112:Pier and breakwater lights in harbors
896:The largest Fresnel lenses are called
272:Georges-Louis Leclerc, Comte de Buffon
189:Georges-Louis Leclerc, Comte de Buffon
3108:"Projected Map Display [PMD]"
2998:"Fresnel Lens Optical Landing System"
2427:5 (August 1999), pp 30–31.
2111:G. Ripley and C.A. Dana (eds.),
1901:from the original on 17 December 2013
1311:Imaging lenses can be classified as:
7:
3979:
3911:Lighthouses by century of completion
3437:Oeuvres complètes d'Augustin Fresnel
3348:from the original on 1 December 2017
2714:233; Levitt, 2013, pp. 222–224.
2518:399; Boutry, 1948, pp. 601–602.
2179:xxiv. ("July 21" in Levitt, 2013, p.
675:built for the Stevensons in 1885 by
391:), and accidentally discovered that
243:in 1788. The first Rogers lenses, 53
3999:
3550:"Fresnel Lens - Maxwell Simulation"
2872:from the original on 5 October 2008
2650:Elton, 2009, pp. 209–210, 238.
2505:, 1907–12, vol. 6 (1909).
2006:Éloge de M. le Comte de Buffon
1948:Bernhard, Adrienne (21 June 2019),
1355:optics resulting in very effective
538:Also in 1825, Fresnel unveiled the
2890:United States Lighthouse Society,
2619:Levitt, 2013, pp. 28, 72, 99.
2406:195; Levitt, 2013, pp. 72–76.
14:
3916:Lighthouses by year of completion
3240:"AF-S NIKKOR 300mm f/4E PF ED VR"
2218:Fresnel, 1866–70, vol. 3, p.
2047:"Chronology of Lighthouse Events"
1927:(3rd ed.), Pearson Longman,
1833:(3rd ed.), Pearson Longman,
814:Description of lens orders, from
172:) is a type of composite compact
3998:
3988:
3978:
3969:
3968:
3944:Amateur Radio Lighthouse Society
3906:Lighthouses by heritage register
3736:
3525:United States Lighthouse Society
3374:, 7th Ed., Cambridge, 1999.
3285:"Soitec's Concentrix technology"
2314:Annales de Chimie et de Physique
1925:Longman Pronunciation Dictionary
1831:Longman Pronunciation Dictionary
1283:
1267:
1252:
1240:
1224:
1208:
1203:Close-up of a second-order lens.
1196:
1184:
1168:
1156:
375:and in one piece, Fresnel's was
134:
88:
39:
3503:U.S. Government Printing Office
3424:; translated by T. Tag as
3394:, University of Chicago Press,
3076:Lowe, David (3 December 2011),
2357:Fresnel, 1822, tr. Tag, p.
2264:Fresnel, 1822, tr. Tag, p.
411:light, consists exclusively of
3491:, Winter 1985, pp. 12–14.
3458:, New York: W.W. Norton,
3336:M. Margolin (24 August 2016),
3165:. 8 March 2016. Archived from
3132:Poore, Shaun (21 April 2022).
2745:"American-Made Fresnel Lenses"
2668:Elton, 2009, pp. 221–223.
2659:Elton, 2009, pp. 210–213.
2562:Elton, 2009, pp. 198–199.
2553:Elton, 2009, pp. 197–198.
2370:D. Gombert, photograph of the
2209:Levitt, 2013, pp. 56, 58.
1769:Fresnel lenses can be used to
1766:, in Hunter Valley Australia.
1:
2701:, accessed 1 March 2021.
2602:Musée national de la Marine,
2593:Levitt, 2013, pp. 79–80.
2571:Levitt, 2013, pp. 82–84.
2384:, France, 23 March 2017.
2158:Levitt, 2013, pp. 49–50.
1531:The Fresnel lens used in the
947:Major "landfall" lighthouses
628:1862 International Exhibition
3934:General lighthouse authority
3557:"How the Fresnel lens works"
1479:on US Navy aircraft carrier
1148:Used in Scotland and Canada
1130:Used in Scotland and Canada
816:Block Island Southeast Light
706:Brooklyn Flint-Glass Company
683:with various light sources.
644:Mendocino County, California
3629:Conservation of lighthouses
2606:, accessed 26 August 2017;
2378:Musée des Phares et Balises
2138:"Brewster, Sir David"
2013:for 1788, printed in 1791.)
1975:"Lens use prior to Fresnel"
1574:the passenger-side window.
1389:National Museum of Scotland
438:. Each ring, shaped like a
311:(with central segment
26:Musée national de la Marine
4058:
3473:, London: J. Murray,
3112:Rochester Avionic Archives
2291: in). Elton (2009, p.
2175:xcvii, and vol. 3, p.
1742:, in solar forges, and in
966:Two Brazilian lighthouses
600:Saint-Clément-des-Baleines
475:(16 September 1822),
295:Publication and refinement
3964:
3734:
3619:
3383:jstor.org/stable/43413515
3213:C, Mark (26 April 2022).
2785:Baiges, Mabel A. (1988),
2376:in the collection of the
1760:concentrating solar power
1407:, rather than the simple
1276:Ponce de Leon Inlet Light
1134:
1116:
1097:
1078:
1059:
1032:
1012:
990:
970:
951:
932:
927:
924:
921:
918:
915:
912:
798:total internal reflection
698:Hyperradiant Fresnel lens
681:South Foreland Lighthouse
679:of France, and tested at
677:F. Barbier & Cie
554:
550:total internal reflection
510:
489:total internal reflection
448:
209:total internal reflection
3415:10.1179/175812109X449612
3246:15 February 2015 at the
2499:"Fresnel, Augustin-Jean"
2113:"Fresnel, Augustin Jean"
1802:Linear Fresnel reflector
1562:. They are also used in
419:and partial reflection.
3449:vol. 3 (1870)
3445:vol. 2 (1868)
3441:vol. 1 (1866)
3270:14 January 2015 at the
3242:, 6 January 2015,
2914:, Academic Press, 2005.
2697:19 January 2021 at the
2144:Encyclopædia Britannica
2025:D. Appleton & Co.,
1873:Encyclopædia Britannica
1494:optical landing systems
1428:multifaceted reflectors
1217:St. Simons Island Light
908:Lighthouse lens orders
594:catadioptric lens with
195:(1788–1827) for use in
3763:Automatic lamp changer
3624:History of lighthouses
3388:J. Z. Buchwald, 1989,
2924:Chaves, Julio (2015),
2337:10.5281/zenodo.4058004
1704:projection televisions
1630:headsets, such as the
1536:
1524:
1486:
1477:Optical landing system
1442:
1391:
1177:Cape Meares Lighthouse
986:Large seacoast lights
854:
829:
819:
738:
730:
647:
640:Point Arena Lighthouse
540:
504:
363:
357:
340:
320:
30:
16:Compact composite lens
3552:, 13 April 2009.
3370:M. Born and E. Wolf,
3084:Kogan Page Publishers
2981:Photometrics Handbook
2725:"Hyper-Radial Lenses"
2503:Catholic Encyclopedia
1764:Liddell Power Station
1655:retina identification
1650:than Fresnel lenses.
1642:, have switched to a
1587:projected map display
1530:
1522:
1475:
1440:
1383:
1259:Fifth-order lens, at
844:
825:
813:
804:Lighthouse lens sizes
736:
720:
637:
505:Commission des Phares
481:circular polarization
336:Augustin-Jean Fresnel
325:Commission des Phares
302:
247:cm in diameter and 14
193:Augustin-Jean Fresnel
22:
4037:Solar thermal energy
3803:Light characteristic
3702:Navigational purpose
3534:2 March 2021 at the
3487:"The Fresnel Lens",
3454:T. H. Levitt, 2013,
3372:Principles of Optics
3317:on 23 September 2013
2897:27 June 2023 at the
2822:on 27 September 2007
2692:"Lighthouse History"
2531:198, Figure 12.
2196:6n. Levitt (2013, p.
1648:chromatic aberration
1483:Dwight D. Eisenhower
624:James Timmins Chance
364:lentilles à échelons
358:lentilles à échelons
280:Marquis de Condorcet
253:Old Lower Lighthouse
4032:Lighthouse fixtures
3901:Lighthouse builders
3545:(with photographs).
3264:The Digital Picture
3040:2016SPIE.9918E..0CA
2527:Cf. Elton, 2009, p.
2373:Optique de Cordouan
2295:193) gives it as 76
2117:American Cyclopædia
1728:overhead projectors
1700:overhead projectors
1551:displays in pocket
1405:internal reflection
1353:Köhler illumination
1261:Key West Lighthouse
909:
902:Makapuu Point Light
827:Makapuu Point Light
661:Casquets Lighthouse
512:École Polytechnique
464:Cordouan Lighthouse
3571:on 30 January 2008
3543:"The Fresnel lens"
3508:U.S. Coast Guard,
3501:, Washington, DC:
3499:Aids to Navigation
3169:on 27 October 2022
3048:10.1117/12.2237994
2866:Lighthouse Friends
2764:, vol. 8, no.
2423:, vol. 30 no.
2073:"The Fresnel lens"
1867:"Lighthouse"
1792:Fresnel zone plate
1537:
1525:
1487:
1443:
1392:
1274:Sixth-order lens (
1215:Third-order lens (
1175:First-order lens (
919:Focal length (mm)
907:
855:
830:
820:
739:
731:
648:
556:Canal Saint-Martin
321:
207:elements that use
31:
4042:French inventions
4012:
4011:
3955:Lighthouse Digest
3768:Bird-cage lantern
3732:
3731:
3464:978-0-393-35089-0
3400:978-0-226-07886-1
3093:978-0-7494-6410-3
2979:Mumm, Robert C.,
2941:978-1-4822-0673-9
2912:Nonimaging Optics
2860:Anderson, Kraig,
2751:21 February 2021.
2731:11 February 2021.
2003:N. de Condorcet,
1934:978-1-4058-8118-0
1840:978-1-4058-8118-0
1720:active matrix LCD
1490:Aircraft carriers
1357:nonimaging optics
1163:First-order lens.
1152:
1151:
842:
789: in) range.
723:plano-convex lens
669:Point Arena Light
417:double refraction
83:-nel, -nəl
4049:
4002:
4001:
3992:
3982:
3981:
3972:
3971:
3740:
3647:
3606:
3599:
3592:
3583:
3572:
3567:, archived from
3495:U.S. Coast Guard
3489:The Keeper's Log
3379:Science Progress
3358:
3356:
3355:
3353:
3333:
3327:
3325:
3324:
3322:
3313:, archived from
3307:
3301:
3299:
3298:
3296:
3291:on 17 April 2011
3287:, archived from
3281:
3275:
3257:
3251:
3236:
3230:
3229:
3227:
3225:
3210:
3204:
3203:
3201:
3199:
3185:
3179:
3178:
3176:
3174:
3155:
3149:
3148:
3146:
3144:
3129:
3123:
3122:
3120:
3118:
3104:
3098:
3096:
3073:
3067:
3065:
3064:
3062:
3019:
3013:
3012:
3010:
3008:
2994:
2988:
2986:
2977:
2971:
2970:
2968:
2966:
2952:
2946:
2944:
2921:
2915:
2908:
2902:
2888:
2882:
2880:
2879:
2877:
2857:
2851:
2849:
2848:
2846:
2835:"Fresnel lenses"
2831:
2825:
2823:
2818:, archived from
2816:"Fresnel lenses"
2812:
2806:
2804:
2803:
2801:
2791:
2787:"Fresnel Orders"
2782:
2773:
2771:
2767:
2762:Higher Education
2758:
2752:
2741:
2732:
2721:
2715:
2713:
2708:
2702:
2688:
2682:
2680:
2675:
2669:
2666:
2660:
2657:
2651:
2648:
2642:
2640:
2635:
2629:
2626:
2620:
2617:
2611:
2600:
2594:
2591:
2585:
2583:
2578:
2572:
2569:
2563:
2560:
2554:
2551:
2545:
2543:
2540:Levitt, 2013, p.
2538:
2532:
2530:
2525:
2519:
2517:
2512:
2506:
2495:
2489:
2487:
2482:
2476:
2474:
2471:Levitt, 2013, p.
2469:
2463:
2461:
2458:Levitt, 2013, p.
2456:
2450:
2447:
2441:
2439:
2434:
2428:
2426:
2415:B. Watson,
2413:
2407:
2405:
2400:
2394:
2391:
2385:
2368:
2362:
2360:
2355:
2349:
2346:
2340:
2330:
2319:
2310:
2304:
2302:
2298:
2294:
2290:
2289:
2285:
2282:
2275:
2269:
2267:
2262:
2256:
2254:
2250:
2247:Levitt, 2013, p.
2245:
2239:
2237:
2234:Levitt, 2013, p.
2232:
2223:
2221:
2216:
2210:
2207:
2201:
2199:
2195:
2190:
2184:
2182:
2178:
2174:
2170:
2165:
2159:
2156:
2150:
2148:
2140:
2129:
2120:
2109:
2096:
2094:
2091:Levitt, 2013, p.
2089:
2080:
2069:
2054:
2043:
2034:
2023:
2014:
2001:
1995:
1993:
1990:Levitt, 2013, p.
1988:
1982:
1971:
1962:
1960:
1959:
1957:
1945:
1939:
1937:
1923:(3 April 2008),
1917:
1911:
1909:
1908:
1906:
1885:
1879:
1877:
1869:
1858:
1845:
1843:
1829:(3 April 2008),
1823:
1744:solar collectors
1620:magnified on an
1583:rear-view mirror
1337:cylindrical lens
1287:
1271:
1256:
1244:
1228:
1212:
1200:
1188:
1172:
1160:
1045:
1044:
1040:
1037:
925:First installed
910:
892:
891:
887:
884:
878:
877:
873:
870:
843:
788:
787:
783:
778:
777:
773:
693:Tory Island
610:Thomas Stevenson
604:Carte des Phares
596:purely revolving
559:
558:
543:
541:Carte des Phares
515:
514:
507:
485:optical rotation
453:
452:
413:transverse waves
403:
398:
366:
360:
343:
333:
250:
246:
169:
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3889:
3843:
3812:
3741:
3728:
3697:
3638:
3615:
3610:
3562:
3541:W. A. Britten,
3536:Wayback Machine
3521:
3484:
3482:Further reading
3422:pp. 97–126
3367:
3362:
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3335:
3334:
3330:
3320:
3318:
3309:
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3304:
3294:
3292:
3283:
3282:
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3272:Wayback Machine
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3248:Wayback Machine
3237:
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2899:Wayback Machine
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2710:Elton, 2009, p.
2709:
2705:
2699:Wayback Machine
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2658:
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2636:
2632:
2627:
2623:
2618:
2614:
2610:26 August 2017.
2601:
2597:
2592:
2588:
2581:
2580:Elton, 2009, p.
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2570:
2566:
2561:
2557:
2552:
2548:
2541:
2539:
2535:
2528:
2526:
2522:
2515:
2514:Young, 1855, p.
2513:
2509:
2496:
2492:
2485:
2484:Elton, 2009, p.
2483:
2479:
2472:
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2466:
2459:
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2435:
2431:
2424:
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2403:
2402:Elton, 2009, p.
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2187:
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2157:
2153:
2131:
2130:
2123:
2110:
2099:
2092:
2090:
2083:
2070:
2057:
2044:
2037:
2024:
2017:
2002:
1998:
1991:
1989:
1985:
1972:
1965:
1955:
1953:
1947:
1946:
1942:
1935:
1919:
1918:
1914:
1904:
1902:
1894:Merriam-Webster
1887:
1886:
1882:
1860:
1859:
1848:
1841:
1825:
1824:
1820:
1815:
1797:Lenticular lens
1783:
1773:sand, allowing
1748:Stirling engine
1736:
1695:
1628:Virtual reality
1579:wide view angle
1517:
1455:Fresnel lantern
1451:motion pictures
1378:
1373:
1298:
1291:
1288:
1279:
1272:
1263:
1257:
1248:
1245:
1236:
1229:
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1204:
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1189:
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1042:
1038:
1035:
1033:
889:
885:
882:
880:
875:
871:
868:
866:
832:
818:, Rhode Island.
806:
785:
781:
780:
775:
771:
770:
715:
685:Chance Brothers
665:Channel Islands
566:
497:transverse wave
493:physical optics
473:photoelasticity
450:Arc de Triomphe
401:
396:
369:Jacques Charles
327:
297:
285:burning glasses
248:
244:
237:
232:
167:
137:
133:
129:-el, -əl
126:
115:
91:
87:
80:
66:
42:
38:
17:
12:
11:
5:
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3742:
3735:
3733:
3730:
3729:
3727:
3726:
3721:
3716:
3714:Leading lights
3711:
3705:
3703:
3699:
3698:
3696:
3695:
3689:
3687:Skeletal tower
3684:
3679:
3674:
3669:
3664:
3659:
3653:
3651:
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3637:
3636:
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3608:
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3594:
3586:
3580:
3579:
3574:
3560:
3553:
3546:
3539:
3529:Fresnel Lenses
3527:, especially "
3520:
3519:External links
3517:
3516:
3515:
3506:
3492:
3483:
3480:
3479:
3478:
3467:
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3328:
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3252:
3231:
3205:
3193:www.oculus.com
3180:
3150:
3138:ShaunPoore.com
3124:
3099:
3092:
3068:
3014:
2989:
2972:
2947:
2940:
2916:
2903:
2883:
2862:"Makapu'u, HI"
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2151:
2135:, ed. (1911),
2133:Chisholm, Hugh
2121:
2097:
2081:
2055:
2035:
2015:
1996:
1983:
1963:
1940:
1933:
1912:
1889:"Fresnel lens"
1880:
1864:, ed. (1911),
1862:Chisholm, Hugh
1846:
1839:
1817:
1816:
1814:
1811:
1810:
1809:
1807:Prism lighting
1804:
1799:
1794:
1789:
1787:Fresnel imager
1782:
1779:
1735:
1732:
1724:LCD projectors
1694:
1691:
1675:Polaroid SX-70
1640:Meta Quest Pro
1564:traffic lights
1555:, notably the
1516:
1513:
1377:
1374:
1372:
1369:
1368:
1367:
1363:
1360:
1348:
1341:
1340:
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1323:spherical lens
1316:
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920:
917:
916:Fresnel order
914:
805:
802:
714:
711:
652:John Hopkinson
574:Alan Stevenson
565:
562:
436:Venetian blind
350:François Arago
296:
293:
289:David Brewster
265:North Foreland
236:
233:
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228:
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13:
10:
9:
6:
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3927:organizations
3923:
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3885:South America
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3875:North America
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3238:Nikon Corp.,
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3028:Metamaterials
3025:
3018:
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2098:
2088:
2086:
2082:
2079:22 July 2017.
2078:
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2060:
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2053:8 April 2017.
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1827:J. Wells
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1671:Phase Fresnel
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1629:
1625:
1623:
1619:
1618:
1617:Hello, Dolly!
1613:
1609:
1605:
1604:
1599:
1598:Terry Gilliam
1595:
1594:Peter Gabriel
1590:
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1584:
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1533:Sinclair FTV1
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1432:polycarbonate
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1234:
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1024:
1021:
1018:
1015:
1011:
1007:
1004:
1002:
999:
996:
993:
989:
985:
982:
979:
976:
973:
969:
965:
962:
959:
956:
954:
950:
946:
943:
940:
937:
935:
933:Hyper-radial
931:
913:Modern order
911:
905:
903:
899:
894:
863:
860:
852:
848:
828:
824:
817:
812:
808:
803:
801:
799:
795:
790:
768:
764:
759:
755:
753:
749:
743:
735:
728:
724:
719:
712:
710:
707:
702:
700:
699:
694:
690:
686:
682:
678:
672:
670:
666:
662:
658:
657:Little Basses
653:
645:
641:
636:
632:
629:
625:
621:
619:
615:
611:
607:
605:
601:
597:
592:
587:
583:
579:
575:
570:
564:After Fresnel
563:
561:
557:
551:
545:
542:
536:
532:
530:
526:
522:
517:
513:
506:
500:
498:
494:
490:
486:
482:
478:
474:
468:
465:
461:
457:
451:
445:
441:
437:
433:
429:
424:
420:
418:
414:
410:
405:
394:
390:
389:Count Rumford
386:
380:
378:
374:
370:
365:
359:
353:
351:
347:
342:
337:
331:
326:
318:
314:
310:
306:
301:
294:
292:
290:
286:
281:
277:
273:
268:
266:
262:
258:
257:Portland Bill
254:
242:
241:Trinity House
234:
229:
227:
224:
221:
217:
212:
210:
206:
202:
198:
194:
190:
186:
182:
177:
175:
171:
170:
161:
131:
130:
121:
85:
84:
75:
36:
28:
27:
21:
4014:
3953:
3834:Pharologists
3793:Lens lantern
3788:Fresnel lens
3787:
3724:Sector light
3650:Construction
3569:the original
3548:J. Francis,
3510:
3498:
3488:
3470:
3455:
3436:
3406:
3389:
3378:
3371:
3365:Bibliography
3350:, retrieved
3341:
3331:
3319:, retrieved
3315:the original
3305:
3293:, retrieved
3289:the original
3279:
3263:
3255:
3234:
3222:. Retrieved
3218:
3208:
3196:. Retrieved
3192:
3183:
3171:. Retrieved
3167:the original
3162:
3153:
3141:. Retrieved
3137:
3127:
3115:. Retrieved
3111:
3102:
3078:
3071:
3059:, retrieved
3031:
3027:
3017:
3005:. Retrieved
3001:
2992:
2980:
2975:
2963:. Retrieved
2959:
2950:
2926:
2919:
2911:
2906:
2886:
2874:, retrieved
2865:
2855:
2843:, retrieved
2829:
2820:the original
2810:
2798:, retrieved
2761:
2756:
2719:
2706:
2686:
2673:
2664:
2655:
2646:
2633:
2624:
2615:
2598:
2589:
2576:
2567:
2558:
2549:
2536:
2523:
2510:
2502:
2497:H.M. Brock,
2493:
2480:
2467:
2454:
2445:
2432:
2420:
2411:
2398:
2389:
2377:
2372:
2366:
2353:
2344:
2313:
2308:
2273:
2260:
2243:
2214:
2205:
2188:
2163:
2154:
2142:
2116:
2030:
2027:"Sea-lights"
2010:
2005:
1999:
1986:
1981:20 May 2017.
1954:, retrieved
1943:
1924:
1915:
1903:, retrieved
1892:
1883:
1871:
1830:
1821:
1768:
1752:
1737:
1708:
1696:
1687:ground glass
1683:large format
1670:
1660:
1652:
1644:pancake lens
1636:HTC Vive Pro
1632:Meta Quest 2
1626:
1616:
1601:
1591:
1576:
1568:
1538:
1501:searchlights
1498:
1488:
1482:
1466:
1458:
1444:
1414:
1393:
1376:Illumination
1342:
1310:
1305:
1301:
1299:
1101:4th (small)
1082:4th (large)
1063:3rd (small)
1016:3rd (large)
928:Application
898:hyperradiant
895:
864:
858:
856:
807:
793:
791:
760:
756:
752:3-D printers
744:
740:
703:
696:
673:
649:
622:
617:
608:
603:
595:
590:
571:
567:
546:
537:
533:
520:
518:
501:
469:
428:Saint-Gobain
425:
421:
406:
381:
377:plano-convex
354:
322:
316:
312:
308:
304:
269:
238:
225:
220:focal length
213:
201:catadioptric
179:The simpler
178:
35:Fresnel lens
34:
32:
24:
4004:WikiProject
3817:Maintenance
3778:Dalén light
3773:Carcel lamp
3758:Argand lamp
3613:Lighthouses
3563:T. Pepper,
3475:vol. 1
3352:27 February
3321:27 February
3295:3 September
3163:VR Lens Lab
2876:26 February
2845:27 February
2800:9 September
2421:Smithsonian
1921:Wells, John
1775:3D printing
1755:solar cells
1734:Solar power
1553:televisions
1509:flashlights
1463:focal point
1430:with plain
1397:aerobeacons
1332:Cylindrical
1306:non-imaging
1006:Great Lakes
952:Mesoradial
922:Height (m)
893: in).
689:Bishop Rock
578:Isle of May
456:Louis XVIII
409:unpolarized
385:Argand lamp
346:diffraction
328: [
323:The French
261:Howth Baily
235:Forerunners
197:lighthouses
4021:Categories
3994:Wiktionary
3894:Categories
3860:Antarctica
3829:Light dues
3798:Lewis lamp
3753:Aerobeacon
3682:Screw-pile
3224:27 October
3198:27 October
3173:27 October
3143:27 October
2960:Energy.gov
1813:References
1777:in glass.
1711:collimator
1693:Projection
1545:strabismus
1541:magnifiers
1505:spotlights
1417:automobile
1409:refraction
586:Skerryvore
582:Île Vierge
477:elliptical
341:Grand Prix
305:m, n
218:and short
185:refractive
3848:Locations
3555:J. Hare,
3117:17 August
3056:125689110
2932:CRC Press
1722:panel in
1589:screens.
1420:headlamps
1401:prismatic
1385:Inchkeith
1315:Spherical
1235:, Japan).
614:Peterhead
529:catoptric
393:fish glue
270:In 1748,
205:prismatic
3974:Category
3746:Fixtures
3719:Sea mark
3694:(acting)
3672:Integral
3532:Archived
3430:archived
3346:archived
3268:Archived
3244:Archived
3007:16 April
2895:Archived
2870:archived
2839:archived
2794:archived
2749:archived
2743:T. Tag,
2729:archived
2723:T. Tag,
2695:Archived
2608:archived
2382:Ouessant
2077:archived
2071:T. Tag,
2051:archived
2045:T. Tag,
1979:archived
1973:T. Tag,
1956:4 August
1905:19 March
1899:archived
1781:See also
1634:and the
1557:Sinclair
1459:Fresnels
1327:kinoform
1122:100–140
997:700–750
727:biconvex
460:Bordeaux
373:biconvex
216:aperture
183:(purely
181:dioptric
3984:Commons
3880:Oceania
3824:Keepers
3783:Foghorn
3709:Daymark
3662:Caisson
3634:Museums
3505:, 1945.
3061:21 June
3036:Bibcode
2440:xxviii.
2339:, 2021.
2328:4058004
2325::
2286:⁄
1571:lorries
1515:Imaging
1447:theatre
1366:within.
1302:imaging
1143:0.0826
1041:⁄
888:⁄
874:⁄
794:outside
784:⁄
774:⁄
525:toroids
495:on the
440:frustum
276:annular
230:History
4027:Lenses
3925:Global
3870:Europe
3855:Africa
3839:Tender
3808:VRB-25
3692:Vessel
3657:Aerial
3462:
3398:
3090:
3054:
2985:
2965:31 May
2938:
2790:(TIFF)
2770:
2766:
2712:
2679:
2639:
2582:
2542:
2529:
2516:
2486:
2473:
2460:
2438:
2425:
2404:
2359:
2323:Zenodo
2318:
2316:, Ser.
2301:
2297:
2293:
2266:
2253:
2249:
2236:
2220:
2198:
2194:
2181:
2177:
2173:
2169:
2093:
1992:
1931:
1837:
1771:sinter
1673:. The
1612:Wall-E
1610:movie
1603:Brazil
1507:, and
1362:Linear
1320:simple
1140:70–75
1125:0.165
1107:0.433
1088:0.541
1085:187.5
1069:0.722
859:orders
713:Design
432:louver
402:
397:
249:
245:
199:. The
3643:Types
3052:S2CID
1952:, BBC
1666:Nikon
1662:Canon
1608:Pixar
1600:film
1453:(see
1296:Types
1053:1.09
1025:1825
1022:1.58
1000:2.07
983:1823
980:2.59
963:1909
960:3.20
957:1125
944:1887
941:3.76
938:1330
851:Japan
847:Chiba
591:fully
521:fixed
442:of a
332:]
166:fray-
132:; or
3865:Asia
3677:Pile
3667:Crib
3460:ISBN
3396:ISBN
3354:2021
3342:Vice
3323:2021
3297:2013
3226:2022
3200:2022
3175:2022
3145:2022
3119:2024
3088:ISBN
3063:2020
3032:9918
3009:2022
3002:NHHC
2967:2021
2936:ISBN
2878:2009
2847:2021
2802:2012
2772:176.
2681:219.
2584:200.
2488:190.
1958:2019
1929:ISBN
1907:2013
1835:ISBN
1702:and
1681:and
1679:View
1664:and
1622:iPod
1560:TV80
1481:USS
1449:and
1371:Uses
1347:Spot
1304:and
1233:Oita
1135:8th
1117:7th
1104:150
1098:6th
1079:5th
1066:250
1060:4th
1050:375
1019:500
1013:3rd
994:2nd
991:2nd
977:920
974:1st
971:1st
483:and
479:and
444:cone
174:lens
127:FREN
81:FRAY
3411:doi
3044:doi
2987:36.
2544:84.
2475:82.
2462:97.
2333:doi
2268:11.
2238:59.
2222:6n.
2095:71.
1994:57.
1715:DIY
1549:CRT
1467:gel
779:to
767:SLR
763:TLR
750:or
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618:two
434:or
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