Abstract

The coupling between two gratings of arbitrary spatial frequency and relative fringe orientation, recorded in the same thick emulsion, is examined. Both direct coupling of the incident energy into the diffracted waves of each grating and the cross coupling of energy through diffracted waves are considered. The analysis is for a read-out wave at arbitrary angle of incidence. The angular-selectivity curves for the diffracted waves are computed for varying relative strengths of the two gratings and also for varying degrees of coupling, determined by the relative fringe slants of the two gratings. The necessary Bragg-angle difference to decouple the effects of the two gratings is considered. Experimental results for double gratings recorded in dichromated gelatin are given to support the theory.

© 1975 Optical Society of America

Coupled-wave theory for multiply exposed thick holographic gratings

Steven K. Case
J. Opt. Soc. Am. 65(6) 724-729 (1975)

Analysis of propagation at the second-order Bragg angle of a thick holographic grating*

Rod Alferness
J. Opt. Soc. Am. 66(4) 353-362 (1976)

Effects of the relative phase relationships of gratings on diffraction from thick holograms

Noriaki Tsukada, Ryoko Tsujinishi, and Kazunaru Tomishima
J. Opt. Soc. Am. 69(5) 705-711 (1979)

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)

Errata: Coupling in doubly exposed, thick holographic gratings

R. Alferness and S. K. Case
J. Opt. Soc. Am. 66(1) 79-79 (1976)