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.
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Saarinen et al. (1994) studied this question.