Abstract

A thick hologram grating with modulation that decreases along the direction perpendicular to the grating vector has been analyzed using coupled-wave theory developed by Kogelnik. General solutions of two predominant waves, undiffracted and first-order diffracted waves, are given for transmission and reflection types of hologram gratings. Calculated efficiency of diffraction for some special cases is compared with that for the uniform grating. The influence of the attenuation of grating modulation upon the validity of the theory when applied to the Bragg reflection is also discussed.

© 1973 Optical Society of America

Diffraction by thick, periodically stratified gratings with complex dielectric constant

Frank G. Kaspar
J. Opt. Soc. Am. 63(1) 37-45 (1973)

Recording characteristics of volume holograms

Yuichi Ninomiya
J. Opt. Soc. Am. 63(9) 1124-1130 (1973)

Extended theory of light modulation in thin-screen diffraction by ultrasound

F. Calligaris, P. Ciuti, and I. Gabrielli
J. Opt. Soc. Am. 63(3) 287-292 (1973)

Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape*

S. F. Su and T. K. Gaylord
J. Opt. Soc. Am. 65(1) 59-64 (1975)

Efficiency of optical-grating couplers

R. Ulrich
J. Opt. Soc. Am. 63(11) 1419-1431 (1973)