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holographic adj

1 of or relating to holography or holograms

2 written entirely in one's own hand; "holographic document" [syn: holographical]

3 written wholly in the handwriting of the signer; "a holographic will"

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English

Extensive Definition

Holography (from the Greek, όλος-hòlòs whole + γραφή-grafè writing, drawing) is the science of producing holograms. It is a technique that allows the light scattered from an object to be recorded and later reconstructed so that it appears as if the object is in the same position relative to the recording medium as it was when recorded. The image changes as the position and orientation of the viewing system changes in exactly the same way is if the object were still present. Holograms can also be made using other types of waves.

The technique of holography can also be used to optically store, retrieve, and process information. It is common to confuse volumetric displays with holograms, particularly in science fiction works such as Star Trek, Star Wars, Red Dwarf, and Quantum Leap.

Overview

Holography was invented in 1947 by Hungarian physicist Dennis Gabor (Hungarian name: Gábor Dénes) (1900–1979), work for which he received the Nobel Prize in physics in 1971. It was made possible by pioneering work in the field of physics by other scientists like Mieczysław Wolfke who resolved technical issues that previously made advancements impossible. The discovery was an unexpected result of research into improving electron microscopes at the British Thomson-Houston Company in Rugby, England. The British Thomson-Houston company filed a patent in December 1947(patent GB685286), but the field did not really advance until the development of the laser in 1960.

The first holograms that recorded 3D objects were made in 1962 by Yuri Denisyuk in the Soviet Union; and by Emmett Leith and Juris Upatnieks in University of Michigan, USA. Advances in photochemical processing techniques, to produce high-quality display holograms were achieved by Nicholas J. Phillips.

Several types of holograms can be made. Transmission holograms, such as those produced by Leith and Upatnieks, are viewed by shining laser light through them and looking at the reconstructed image from the side of the hologram opposite the source. A later refinement, the "rainbow transmission" hologram allows more convenient illumination by white light rather than by lasers or other monochromatic sources. Rainbow holograms are commonly seen today on credit cards as a security feature and on product packaging. These versions of the rainbow transmission hologram are commonly formed as surface relief patterns in a plastic film, and they incorporate a reflective aluminium coating which provides the light from "behind" to reconstruct their imagery.

Another kind of common hologram, the reflection or Denisyuk hologram, is capable of multicolour image reproduction using a white light illumination source on the same side of the hologram as the viewer.

One of the most promising recent advances in the short history of holography has been the mass production of low-cost solid-state lasers—typically used by the millions in DVD recorders and other applications, but which are sometimes also useful for holography. These cheap, compact, solid-state lasers can under some circumstances compete well with the large, expensive gas lasers previously required to make holograms, and are already helping to make holography much more accessible to low-budget researchers, artists, and dedicated hobbyists.

How it works

Though holography is often referred to as 3D photography, this is a misconception. A better analogy is sound recording where the sound field is encoded in such a way that it can later be reproduced. In holography, some of the light scattered from an object or a set of objects falls on the recording medium. A second light beam, known as the reference beam, also illuminates the recording medium, so that interference occurs between the the two beams. The resulting light field is an apparently random pattern of varying intensity which is the hologram. It can be shown that if the hologram is illuminated by the original reference beam, a light field is diffracted by the reference beam which is identical to the light field which was scattered by the object or objects. Thus, someone looking into the hologram 'sees' the objects even though they may no longer be present. There are a variety of recording materials which can be used, including photographic film.

Holography explained in terms of interference and diffraction

Interference occurs when one or more wavefronts are superimposed. Diffraction occurs whenever a wavefront encounters an object. The process of producing a holographic reconstruction is explained below purely in terms of interference and diffraction. It is somewhat simplistic, but is accurate enough to provide an understanding of how the holographic process works.

A hologram of a plane wavefront

A diffraction grating is a structure with a repeating pattern. A simple example is a metal plate with slits cut at regular intervals. Light rays travelling through it are bent at an angle determined by λ, the wavelength of the light and d, the distance between the slits and is given by sinθ = λ/d.

A very simple hologram can be made by superimposing two plane waves from the same light source. One(the reference beam)hits the photographic plate normally and the other one (the object beam) hits the plate at an angle θ. The relative phase between the two beams varies across the photographic plate as 2π y sinθ/λ where y is the distance along the photographic plate. The two beams interfere with one another to form an interference pattern. The relative phase changes by 2π at intervals of d = λ/sinθ so the spacing of the interference fringes is given by d. Thus, the relative phase of object and reference beam is encoded as the maxima and minima of the fringe pattern.

When the photographic plate is developed, the fringe pattern acts as a diffraction grating and when the reference beam is incident upon the photographic plate, it is partly diffracted into the same angle θ at which the original object beam was incident. Thus, the object beam has been re-constructed. The diffraction grating created by the two waves interfering has reconstructed the "object beam" and it is therefore a hologram as defined above.

A hologram of a point source

A slightly more complicated hologram can be made using a point source of light as object beam and a plane wave as reference beam to illuminate the photographic plate. An interference pattern is formed which in this case is in the form of curves of decreasing separation with increasing distance from the centre.

The photographic plate is developed giving a complicated pattern which can be considered to be made up of a diffraction pattern of varying spacing. When the plate is illuminated by the reference beam alone, it is diffracted by the grating into different angles which depend on the local spacing of the pattern on the plate. It can be shown that the net effect of this it to re-construct the object beam, so that it appears that light is coming from a point source behind the plate, even when the source has been removed. The light emerging from the photographic plate is identical to the light emerging when the point source which used to be there. An observer looking into the plate from the other side will 'see' a point source of light whether the original source of light is there or not.

This sort of hologram is effectively a concave lens, since it 'converts' a plane wavefront into a divergent wavefront. It will also increase the divergence of any wave which is incident on it in exactly the same way as a normal lens does. Its focal length is the distance between the point source and the plate.

A hologram of a complex object which can be considered to be a set of point sources

The diagram on the right shows the optical arrangement for making a hologram of a complex object. The laser beam is split in two by the beam splitter. One beam illuminates the object which then scatters light onto the recording medium. The second (reference) beam illuminates the recording medium directly.

According to diffraction theory, each point in the object acts as a point source of light. Each of these point sources interferes with the reference beam, giving rise to an interference pattern. The resulting pattern is the sum of a large number (strictly speaking, an infinite number) of point source + reference beam interference patterns.

The diagram on the left shows the optical arrangement for re-constructing the object beam. The object is no longer present, and the hologram is illuminated by the reference beam. Each point source diffraction grating will diffract part of the reference beam to re-construct the wavefront from its point source. These individual wavefronts add together to recontstruct the whole of the object beam.

The viewer perceives a wavefront which is identical to the wavefront scattered by the object, so that it appears to him/her that the object is still in place. This image is known as a 'virtual' image as it is generated even though the object is no longer there.

This explains, albeit in somewhat simplistic terms, how transmission holograms work. Other holograms, such as rainbow and Denisyuk holgrams are somewhat more complex but the principles are the same

Holography - the theory

A light wave can be modelled by a complex number U which represents the electric or magnetic field of the light wave. The amplitude and phase of the light are represented by the absolute value and angle of the complex number. The object and reference waves at any point in the holographic system are given by UO and UR. The combined beam is given be UO + UR. The energy of the combined beams is proportional to the square of magnitude of the electric wave:

|U_O + U_R|^2=U_O U_R^*+|U_r|^2+|U_O|^2+ U_O^*U_R

If a photographic plate is exposed to the two beams, and then developed, its transmittance, T, is proportional to the light energy which was incident on the plate, and is given by

T=k[U_O U_R^*+|U_r|^2+|U_O|^2+ U_O^*U_R]

where k is a constant. When the developed plate is illuminated by the reference beam, the light transmitted through the plate, UH is

U_H=TU_R=k[U_O U_R^*+|U_r|^2+|U_O|^2+ U_O^*U_R]U_R=k[U_O+|U_r|^2U_R+|U_O|^2U_R+ U_O^*U_R^2]

It can be seen that UH has four terms. The first of these is kUO, since URUR* is equal to one, and this is the re-constructed object beam. The second term represents the reference beam whose amplitude has been modifed by UR2. The third also represent the reference beam which has had its amplitude modifed by UO2; this modification will cause the reference beam to be diffracted around its central direction. The fourth term is know as the 'conjugate object beam'. It has the reverse curvature to the object beam itself, and forms a real image of the object in the space beyond the holographic plate.

Early holograms had both the object and reference beams illuminating the recording medium normally which meant that all the four beams emerging from the holgram were superimposed on one another. The off-axis hologram was developed by Leith and Upatnieks to overcome this problem. The object and reference beams are incident at well-separated angles onto the holographic recording medium and the virtual, real and reference wavefronts all emerge at different angles enabling the re-constructed object beam to be imaged clearly.

Viewing the hologram

| rowspan=2| No | rowspan=2| Wet || Amplitude || 6% | rowspan=2| 0.001–0.1 | rowspan=2| 1,000–10,000 |- | Phase (bleached) || 60% |- | Dichromated gelatin || No || Wet || Phase || 100% || 10 || 10,000 |- | Photoresists || No || Wet || Phase || 33% || 10 || 3,000 |- | Photothermoplastics || Yes || Charge and heat || Phase || 33% || 0.01 || 500–1,200 |- | Photopolymers || No || Post exposure || Phase || 100% || 1–1,000 || 2,000–5,000 |- | Photochromics || Yes || None || Amplitude || 2% || 10–100 || >5,000 |- | Photorefractives || Yes || None || Phase || 100% || 0.1–50,000 || 2,000–10,000 |}

It is also possible to make holographic recordings using digital cameras - see digital holography

Mass replication of holograms

An existing hologram can be replicated, either in an optical way similar to holographic recording, or in the case of surface relief holograms, by embossing. Surface relief holograms are recorded in photoresists or photothermoplastics, and allow cheap mass reproduction. Such embossed holograms are now widely used, for instance as security features on credit cards or quality merchandise. The Royal Canadian Mint even produces holographic gold and silver coinage through a complex stamping process. The first book to feature a hologram on the front cover was The Skook (Warner Books, 1984) by JP Miller, featuring an illustration by Miller.

The first step in the embossing process is to make a stamper by electrodeposition of nickel on the relief image recorded on the photoresist or photothermoplastic. When the nickel layer is thick enough, it is separated from the master hologram and mounted on a metal backing plate. The material used to make embossed copies consists of a polyester base film, a resin separation layer and a thermoplastic film constituting the holographic layer.

The embossing process can be carried out with a simple heated press. The bottom layer of the duplicating film (the thermoplastic layer) is heated above its softening point and pressed against the stamper so that it takes up its shape. This shape is retained when the film is cooled and removed from the press. In order to permit the viewing of embossed holograms in reflection, an additional reflecting layer of aluminium is usually added on the hologram recording layer.

Applications of optical holography

Holographic data storage

Holography can be put to a variety of uses other than recording images. Holographic data storage is a technique that can store information at high density inside crystals or photopolymers. The ability to store large amounts of information in some kind of media is of great importance, as many electronic products incorporate storage devices. As current storage techniques such as Blu-ray reach the denser limit of possible data density (due to the diffraction-limited size of the writing beams), holographic storage has the potential to become the next generation of popular storage media.The advantage of this type of data storage is that the volume of the recording media is used instead of just the surface.

Currently available SLMs can produce about 1000 different images a second at 1024×1024-bit resolution. With the right type of media (probably polymers rather than something like LiNbO3), this would result in about 1 gigabit per second writing speed. Read speeds can surpass this and experts believe 1-terabit per second readout is possible.

In 2005, companies such as Optware and Maxell have produced a 120 mm disc that uses a holographic layer to store data to a potential 3.9 TB (terabyte), which they plan to market under the name Holographic Versatile Disc. Another company, InPhase Technologies, is developing a competing format.

While many holographic data storage models have used "page-based" storage, where each recorded hologram holds a large amount of data, more recent research into using submicrometre-sized "microholograms" has resulted in several potential 3D optical data storage solutions. While this approach to data storage can not attain the high data rates of page-based storage, the tolerances, technological hurdles, and cost of producing a commercial product are significantly lower.

Holographic Interferometry

Holographic interferometry (HI)is a technique which enables static and dynamic displacements of objects with optically rough surfaces to be measured to optical interferometric precision (i.e to fractions of a wavelength of light). It can also be used to detect optical path length variations in transparent media, which enables, for example, fluid flow to be visualised and analysed. It can also be used to generate contours representing the form of the surface.

It has been widely used to measure stress, strain, and vibration in engineering structures

Security holograms

Security holograms are very difficult to forge because they are replicated from a master hologram which requires expensive, specialized and technologically advanced equipment. They are used widely in many currencies such as the Brazilian real 20 note, British pound 5/10/20 notes, Canadian dollar 5/10/20/50/100 notes, Euro 5/10/20/50/100/200/500 notes, South Korean won 5000/10000 notes, Japanese yen 5000/10000 notes, etc. They are also used in credit and bank cards as well as quality products.

Interferometric microscopy

The hologram keeps the information on the amplitude and phase of the field. Several holograms may keep information about the same distribution of light, emitted to various directions. The numerical analysis of such holograms allows one to emulate large numerical aperture which, in turn, enables enhancement of the resolution of optical microscopy. The corresponding technique is called interferometric microscopy. Recent achievements of interferometric microscopy allow one to approach the quarter-wavelength limit of resolution.

Dynamic holography

The discussion above describes static holography, in which recording, developing and reconstructing occur sequentially and a permanent hologram is produced.

There exist also holographic materials which don't need the developing process and can record a hologram in a very short time. This allows to use holography to perform some simple operations in an all-optical way. Examples of applications of such real-time holograms include phase-conjugate mirrors ("time-reversal" of light), optical cache memories, image processing (pattern recognition of time-varying images), and optical computing.

The amount of processed information can be very high (terabit/s), since the operation is performed in parallel on a whole image. This compensates the fact that the recording time, which is in the order of a µs, is still very long compared to the processing time of an electronic computer. The optical processing performed by a dynamic hologram is also much less flexible than electronic processing. On one side one has to perform the operation always on the whole image, and on the other side the operation a hologram can perform is basically either a multiplication or a phase conjugation. But remember that in optics, addition and Fourier transform are already easily performed in linear materials, the second simply by a lens. This enables some applications like a device that compares images in an optical way.

The search for novel nonlinear optical materials for dynamic holography is an active area of research. The most common materials are photorefractive crystals, but also in semiconductors or semiconductor heterostructures (such as quantum wells), atomic vapors and gases, plasmas and even liquids it was possible to generate holograms.

A particularly promising application is optical phase conjugation. It allows the removal of the wavefront distortions a light beam receives when passing through an aberrating medium, by sending it back through the same aberrating medium with a conjugated phase. This is useful for example in free-space optical communications to compensate for atmospheric turbulence (the phenomenon that gives rise to the twinkling of starlight).

Holography in art

Early on artists saw the potential of holography as a medium and gained access to science laboratories to create their work. Holographic art is often the result of collaborations between scientists and artists, although some holographers would regard themselves as both an artist and scientist.

Salvador Dalí claimed to have been the first to employ holography artistically. He was certainly the first and most notorious surrealist to do so, but the 1972 New York exhibit of Dalí holograms had been preceded by the holographic art exhibition which was held at the Cranbrook Academy of Art in Michigan in 1968 and by the one at the Finch College gallery in New York in 1970, which attracted national media attention.

During the 1970's a number of arts studios and schools were established, each with their particular approach to holography. Notably there was the San Francisco School of holography established by Llyod Cross, The Museum of Holography in New York founded by Rosemary (Possie) H. Jackson, the Royal College of Art in London and the Lake Forrest College Symposiums organised by Tung Jeong (T.J). None of these studios still exist, however there is the Center for the Holographic Arts in New York http://www.holocenter.org and the HOLOcenter in Seoul http://www.holocenter.or.kr/ which offer artists a place to create and exhibit work.

A small but active group of artist use holography as their main medium and many more artists integrate holographic elements into their work.

The MIT Museum http://web.mit.edu/museum/collections/holography.html and Jonathan Ross http://www.jrholocollection.com/ both have extensive collections of holography and on-line catalogues of art holograms.

Holography as a hobby

Since the beginning of holography experimenters have explored the uses of holography. Starting in 1971 Lloyd Cross started the San Francisco School of Holography and started to teach amateurs the methods of making holograms with inexpensive equipment. This method relied on the use of a large table of deep sand (invented by Jerry Pethic) to hold the optics rigid and dampen vibrations that would destroy the image.

Many of these holographers would go on to produce art holograms. In 1983, Fred Unterseher published the Holography Handbook, a remarkably easy to read description of making holograms at home. This brought in a new wave of holographers and gave simple methods to use the then available AGFA silver halide recording materials.

In 2000 Frank DeFreitas published the Shoebox Holography Book and introduced using inexpensive laser pointers to countless hobbiests. This was a very important development for amateurs as it took the cost for a 5mw laser from $1200 to $5. Now there are hundreds to thousands of amateur holographers worldwide.

In 2006 a large number of surplus Holography Quality Green Lasers (Coherent C315) became available and put Dichromated Gelatin (DCG) within the reach of the amateur holographer. The holography community was surprised at the amazing sensitivity of DCG to green light. It had been assumed that the sensitivity would be non existent. Jeff Blythe responded with the G307 formulation of DCG to increase the speed and sensitivity to these new lasers.

Many film suppliers have come and gone from the silver halide market. While more film manufactures have filled in the voids, many amateurs are now making their own film. The favorite formulations are Dichromated Gelatin, Methelene Blue Sensitised Dichromated Gelatin and Diffusion Method Silver Halide preparations. Jeff Blythe has published very accurate methods for making film in a small lab or garage.

A small group of amateurs are even constructing their own pulsed lasers to make holograms of moving objects.

Jeff Blythe's Film Formulations

Non-optical holography

In principle, it is possible to make a hologram for any wave.

Electron holography

Electron holography is the application of holography techniques to electron waves rather than light waves.

Electron holography was invented by Dennis Gabor to improve the resolution and avoid the aberrations of the transmission electron microscope. Today it is commonly used to study electric and magnetic fields in thin films, as magnetic and electric fields can shift the phase of the interfering wave passing through the sample.

The principle of electron holography can also be applied to interference lithography.

Acoustic holography

Acoustic Holography is the method for registering sound waves.

Atom holography

Atomic holography has evolved out of the development of the basic elements of atom optics. With the Fresnel diffraction lens and atomic mirrors atomic holography follows a natural step in the development of the physics (and applications) of atomic beams. Recent developments including atomic mirrors and especially ridged mirrors have provided the tools necessary for the creation of atomic holograms., although such holograms have not yet been commercialized.

Holographic theories of brain function

An analogy between the distributed information in holograms and the distributed information in brains gave rise to a speculative idea termed holonomic brain theory.

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