Abstract

Algebraic expressions are derived for the diffraction efficiency of the first and second orders of a holographic grating recorded in a thick, pure-phase material with a nonlinear exposure response for readout at the second-order Bragg angle. The results demonstrate the importance of double diffraction by the fundamental grating as well as diffraction by the harmonic grating in producing the second order. It is shown that the strong cross coupling between two gratings constructed in the same emulsion with a common construction angle is a limiting case of the double diffraction that occurs in single gratings. Experimental results from gratings constructed in dichromated gelatin are presented to verify the theory.

© 1976 Optical Society of America

Coupling in doubly exposed, thick holographic gratings

R. Alferness and S. K. Case
J. Opt. Soc. Am. 65(6) 730-739 (1975)

Nonlinear holographic waveguide coupler

B. J. Chang and S. K. Case
Appl. Opt. 15(7) 1800-1802 (1976)

Coupled-wave theory for multiply exposed thick holographic gratings

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

Bragg diffraction of Gaussian beams by periodically modulated media*

Ruey-Shi Chu and Theodor Tamir
J. Opt. Soc. Am. 66(3) 220-226 (1976)

Diffraction by thick, periodically stratified gratings with complex dielectric constant

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