Volume diffraction effects in computer-generated guided-wave holography.

An integrated-optics equivalent of any one-dimensional computer-generated hologram can, in principle, be formed by a patterning a (scaled) cross-sectional slice of the surface relief profile on the waveguide. Because of the small effective-index modulation, the thickness of such a computer-generated waveguide hologram must be far greater than that of its free-space counterpart. Considerable volume diffraction effects are thus introduced. An analysis of such effects is carried out with the thin-grating-decomposition method, using Fourier-plane-grating multiple beam splitters as an example. It is shown that the index-modulation profile must be reoptimized to obtain a good reconstruction fidelity in the presence of volume effects, and methods of achieving this are introduced.

[1]  R. Alferness,et al.  Analysis of optical propagation in thick holographic gratings , 1975 .

[2]  Toshiaki Suhara,et al.  Integrated optics components and devices using periodic structures , 1986 .

[3]  J. Lit,et al.  General formulas for the guiding properties of a multilayer slab waveguide , 1987 .

[4]  Rick L. Morrison,et al.  Design and tolerancing comparisons for S-SEED-based free-space switching fabrics , 1992 .

[5]  Rick L. Morrison,et al.  Symmetries that simplify the design of spot array phase gratings , 1992 .

[6]  Jari Turunen,et al.  Electromagnetic theory and design of diffractive-lens arrays , 1993 .

[7]  Jari Turunen,et al.  Acousto‐optic control and modulation of optical coherence by electronically synthesized holographic gratings , 1990 .

[8]  J Saarinen,et al.  Computer-generated guided-wave holography: application to beam splitting. , 1992, Optics letters.

[9]  Jyrki Saarinen,et al.  Synthetic holographic beamsplitters for integrated optics , 1991, Optics & Photonics.

[10]  R. L. Anderson,et al.  RECENT ADVANCES IN FINDING BEST OPERATING CONDITIONS , 1953 .

[11]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[12]  Paul Lagasse,et al.  Application of propagating beam methods to electromagnetic and acoustic wave propagation problems: A review , 1987 .

[13]  George C. Sherman Introduction To The Angular-Spectrum Representation Of Optical Fields , 1982, Optics & Photonics.

[14]  Comparison of the experimental and theoretical diffraction characteristics of transmission gratings on planar dielectric waveguides. , 1985, Applied optics.

[15]  Mohammad R. Taghizadeh,et al.  Rigorous diffraction analysis of Dammann gratings , 1991 .

[16]  J. Turunen,et al.  High-efficiency diffractive waveguide lenses by parametric optimization. , 1994, Applied optics.

[17]  H. Dammann,et al.  High-efficiency in-line multiple imaging by means of multiple phase holograms , 1971 .

[18]  V. Ramaswamy,et al.  Strip-loaded film waveguide , 1974 .

[19]  Paul Lagasse,et al.  Beam-propagation method: analysis and assessment , 1981 .

[20]  Roger J.-B. Wets,et al.  Minimization by Random Search Techniques , 1981, Math. Oper. Res..

[21]  Hiroshi Nishihara,et al.  Waveguide holograms: A new approach to hologram integration , 1976 .

[22]  Lars Thylén,et al.  The beam propagation method: an analysis of its applicability , 1983 .

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

[24]  Jan Westerholm,et al.  Kinoform Phase Relief Synthesis: A Stochastic Method , 1989 .

[25]  T Jannson,et al.  Highly parallel single-mode multiplanar holographic interconnects. , 1991, Optics letters.

[26]  M R Taghizadeh,et al.  Binary surface-relief gratings for array illumination in digital optics. , 1992, Applied optics.

[27]  O. Bryngdahl,et al.  Digital holography as part of diffractive optics , 1991 .

[28]  D Psaltis,et al.  Holographic interconnections in photorefractive waveguides. , 1991, Applied optics.

[29]  M E Prise,et al.  Module for optical logic circuits using symmetric self-electrooptic effect devices. , 1990, Applied optics.