Diffraction Properties of Stratified Volume Holographic Optical Elements

We present a unified treatment of the diffraction properties of stratified volume holographic optical elements (SVHOE’s). We show that the relative phasing of the diffraction orders as they propagate from layer to layer gives rise to a unique notched diffraction response of the +1 order (for the case of Bragg incidence) as a function of the normalized buffer-layer thickness, the grating spatial frequency, and the readout wavelength. For certain combinations of these parameters Bragg diffraction behavior characteristic of volume holographic optical elements (VHOE’s) is observed, whereas for other combinations pure Raman–Nath behavior periodically recurs. By using these same relative-phasing arguments, the principal features of the periodic angular sensitivity of the +1 and −1 orders can be predicted. In addition to examining the fundamental aspects of SVHOE diffraction behavior, we discuss several possible applications, including optical array generation, spatial frequency filtering, and wavelength notch filtering. With the use of the SVHOE concept, holographic materials with otherwise exemplary characteristics that are currently available only in thin-film form can be used in structures designed either to access unique SVHOE diffraction properties or to emulate conventional VHOE’s.

[1]  M. Breazeale,et al.  Measurement of Sound Pressure Amplitude by Optical Methods , 1960 .

[2]  L. E. Hargrove Diffraction of Light Passing through Two Adjacent Ultrasonic Progressive Waves of Different Frequency , 1960 .

[3]  E. Hiedemann,et al.  Diffraction of light by two spatially separated parallel ultrasonic waves of different frequency , 1962 .

[4]  Kent Robertson Van Horn,et al.  Design and application , 1967 .

[5]  H. Kogelnik Coupled wave theory for thick hologram gratings , 1969 .

[6]  On the Intensifying Property of a Pile-of-Gratings. , 1970 .

[7]  Kashiko Kodate,et al.  Double Diffraction in the Fresnel Region , 1971 .

[8]  G. Mur,et al.  Diffraction by a double grating , 1972 .

[9]  D. Pohl Stacked optical memories. , 1974, Applied optics.

[10]  J B Thaxter,et al.  Unique Properties of SBN and Their Use in a Layered Optical Memory. , 1974, Applied optics.

[11]  W. J. Burke,et al.  Multiple storage and erasure of fixed holograms in Fe−doped LiNbO3 , 1975 .

[12]  K. Kodate,et al.  Double Diffraction of Phase Gratings in the Fresnel Region , 1975 .

[13]  J. R. Morris,et al.  Time-dependent propagation of high energy laser beams through the atmosphere , 1976 .

[14]  F. Calligaris,et al.  Temporal light modulation in thick‐screen diffraction by ultrasound beam plus amplitude grating , 1977 .

[15]  T. Szoplik,et al.  Reconstruction of two stacked fourier holograms , 1978 .

[16]  M. Feit,et al.  Light propagation in graded-index optical fibers. , 1978, Applied optics.

[17]  T. Szoplik,et al.  Reconstruction of two stacked Fourier holograms-experiments and results , 1980 .

[18]  A. P. Yakimovich Multilayer three-dimensional holographic gratings , 1980 .

[19]  T. D. Black,et al.  Analysis and application of stationary reference grating method for optical detection of surface acoustic waves , 1981 .

[20]  Shung-wu Lee,et al.  Simple formulas for transmission through periodic metal grids or plates , 1982 .

[21]  L Thylen,et al.  Beam propagation method in anisotropic media. , 1982, Applied optics.

[22]  Lars Thylén,et al.  Analysis of gratings by the beam-propagation method , 1982 .

[23]  Cascaded Phase Fourier Holograms , 1983 .

[24]  O. B. Serov,et al.  Characteristics of two-layer phase holograms , 1984 .

[25]  B. Zel'dovich,et al.  Theory of a two-layer hologram , 1984 .

[26]  V. Malysh,et al.  Light diffraction by a layered structure with periodically modulated interfaces , 1985 .

[27]  O. B. Serov,et al.  Bilayer Holograms: Theory and Experiment , 1986 .

[28]  O. B. Serov,et al.  Multilayer holographic functional element in an analog-digital converter , 1986 .

[29]  T. Szoplik,et al.  Resonant Modes in a Cascaded System of Fourier Holograms , 1986 .

[30]  Armand R. Tanguay,et al.  Optical Beam Propagation Method For Birefringent Phase Grating Diffraction , 1986 .

[31]  V. A. Komotskii,et al.  Theoretical analysis of diffraction of a Gaussian optical beam by a system of two diffraction gratings , 1987 .

[32]  K Wagner,et al.  Multilayer optical learning networks. , 1987, Applied optics.

[33]  D Z Anderson,et al.  Dynamic optical interconnects: volume holograms as optical two-port operators. , 1987, Applied optics.

[34]  D. Batens,et al.  Theory and Experiment , 1988 .

[35]  A R Tanguay,et al.  Stratified volume holographic optical elements. , 1988, Optics letters.

[36]  H. J. Caulfield Stacked Page Oriented Holographic Memory , 1988, Photonics West - Lasers and Applications in Science and Engineering.

[37]  M. Kujawińska Development of the theory of quasi-periodic diffraction grating systems , 1988 .

[38]  M. Kujawińska Fresnel-field analysis of double-grating systems and their application in phase-stepping grating interferometers , 1988 .

[39]  D. Brady,et al.  Adaptive optical networks using photorefractive crystals. , 1988, Applied optics.

[40]  Demetri Psaltis,et al.  8 – Optical Implementation of Neural Computers , 1989 .

[41]  E G Paek,et al.  Holographic implementation of a learning machine based on a multicategory perceptron algorithm. , 1989, Optics letters.

[42]  P. Kwiek Light diffraction by two spatially separated ultrasonic waves , 1989 .

[43]  D. Nolte,et al.  Resonant photodiffractive four-wave mixing in semi-insulating GaAs/AlGaAs quantum wells. , 1990, Optics Letters.

[44]  Gérard Tayeb,et al.  Theoretical and numerical study of gratings consisting of periodic arrays of thin and lossy strips , 1990 .

[45]  S Campbell,et al.  Optical pattern classifier with Perceptron learning. , 1990, Applied optics.

[46]  T. D. Black,et al.  Optical modulation by a traveling surface acoustic wave and a holographic reference grating , 1990 .

[47]  M. C. Gupta,et al.  Diffraction of a light beam by doubly periodic structures. , 1991, Optics letters.

[48]  F. Mok,et al.  Storage of 500 high-resolution holograms in a LiNbO(3) crystal. , 1991, Optics letters.

[49]  R. D. Feldman,et al.  High sensitivity optical image processing device based on CdZnTe/ZnTe multiple quantum well structures , 1991 .

[50]  Arthur R. Nelson,et al.  Active holographic interconnects for interfacing volume storage , 1992, Electronic Imaging.

[51]  Y. Chéron,et al.  Design and Applications , 1992 .