Electromagnetic theory of volume gratings and applications to the analysis of the modulation profile

Michel H. Grosmann; Jacques Harthong

doi:10.1117/12.57792

1 January 1992 Electromagnetic theory of volume gratings and applications to the analysis of the modulation profile

Michel H. Grosmann, Jacques Harthong

Author Affiliations +

Proceedings Volume 1600, Intl Symp on Display Holography; (1992) https://doi.org/10.1117/12.57792
Event: International Symposium on Display Holography, 1991, Lake Forest, IL, United States

Abstract

We present a complete and rigorous mathematical analysis of the diffraction by a volume grating with periodically modulated refractive index. The analysis is entirely derived from the electromagnetic theory of continuous media, or in other words, from: a) the macroscopic Maxwell equations; b) the material equations; c) the electromagnetic boundary conditions. We propose an exact resolution of this mathematical problem, and then we give explicit methods for numerical computations. The theory presented is an alternative form of the characteristic mode theory. From the given geometrical parameters of the grating : — thickness of the grating, — angle of slant, — Fourier coefficients of the modulation profile, it is possible to compute the diffraction efficiency at each order for any angle of incidence. In the present paper, after an outline of the theory, we develop the detailed calculations in order to obtain explicit formulas, which can then be converted into programs for computation. This paper is only theoretical; experimental tests are not discussed.

Citation Download Citation

Michel H. Grosmann and Jacques Harthong "Electromagnetic theory of volume gratings and applications to the analysis of the modulation profile", Proc. SPIE 1600, Intl Symp on Display Holography, (1 January 1992); https://doi.org/10.1117/12.57792

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