THE BELLS SYSTEM
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Volume twenty four
American Telephone and Telegraph Company
Combined Wave Theory for Thick
coupled wave analysis has of the Bragg diffraction of sunshine by hologram gratings, which is analogous to Phariseau's treatment of
" dynamical" theory
theory remains valid for significant diffraction efficiencies where the incident
can be strongly exhausted. It is
representation holograms. Spatial
transmission holograms and
modulations of both the echoing index and
the absorption constant happen to be allowed for.
effects of damage
of inclined fringes can also be considered. Algebraic
in the grating and
remedies and their nu-
merical evaluations are given for the diffraction efficiencies and the angular
sensitivities in the various
Holographic recording in thick media (" volume recording" )
particular interest pertaining to high-capacity data storage,
holography and for
efficient white-light display of
high efficiency of light conversion which in turn
or perhaps fly's eye lenses) in
In thick holograms
a wide range
obtainable with thick di-
also important for microimaging,
practical to work with holographic optic
of optical systems.
light diffraction at or near the
THE BELL SYSTEM TECHNICAL DIARY, NOVEMBER
which leads to efficient wavefront reconstruction. This is correct for both equally transmission and reflection holograms, and both types are thought in this conventional paper. The (volume) record in the holographic interference pattern (fringe pattern) often takes the form of a spatial modulation of the consumption constant or perhaps the refractive index of the medium, or both equally. Modulations with the absorption continuous are produced in typical photographic emulsions and in photochromies, while more recent 12
or perhaps photolithium niobate,
materials, like dichromated jelly
polymer bonded materials yield modulations from the refractive index. This daily news considers the properties of these types of thick (or " deep" ) holograms. Of particular interest is their very own efficiency of converting lumination into the valuable reconstructed say (diffraction efficiency) and the angular dependence of the diffraction performance as the incident light deviates in the Bragg position. We are also interested in the wavelength dependence and in the
the diffraction real estate are transformed
in the presence of loss or a slant of the fringe pattern with respect to
the surface of the recording medium.
Leith and his co-workers, and Gabor and Cerebrovascular accident have already deemed some of the properties of thicker holograms, in particular the 13, 15
angular plus the wavelength dependence of the diffracted light.
which use the
Kirchhoff essential or the first Born
assumption that the episode light influx is not really
portion process. Their very own
theories will be essentially linear or perturbational theories
good. For excessive diffraction efficiencies (like 80 percent) the incident influx is highly depleted and another approach is called for. One approach is to use electronic computer systems to solve the relevant compli-
cated electromagnetic problem accurately. Results of such computations
and Hiedemann have got com1G 17
References: Opt., 2, No . 4 (April 1963), pp. 393-400.
Disclosure Bull., almost eight, No . eleven (April 1966), p. 1581.
Field of Its Dispersed Radiation, " Opt. Spectroscopy, 15, Number 4
(October 1963), pp
(March 1966), pp. 368-370.
Reconstruction, " Appl. Phys. Letters, almost eight, No . eleven (June 1966), pp. 286-287.
Shankoff, Big t., " Phase Holograms in Dichromated Gelatin, " Appl. Opt., several, No . 12
(October 1968), pp
16, No . five, (March 1969), pp. 159-160.
Leith, At the. N., Kozma, A., Upatnieks, J., Represents, J., and Massey, D., " Holographic Data Storage area in Three-Dimensional Media, " Appl. Opt., 5, No . 8
(August 1966), pp
Klein, W. R., " Theoretical Performance of Bragg Devices, " Proc. IEEE, 54, Number 5
(May 1966), pp