Abstract

Two-dimensional coupled-wave theory is used to analyze a volume holographic lens for conversion of plane waves into cylindrical waves at fixed frequency. The full two-dimensional solution is found to give good agreement with localized use of one-dimensional theory over a wide range of conditions. It is found that high on-Bragg efficiencies may be achieved if the thickness–focal-length ratio of the lens is small and the recording and reconstructing waves are slowly varying and that reduction in output over the lens surface under off-Bragg conditions is nonuniform.

© 1982 Optical Society of America

Cylindrical Bragg holograms

Tomasz Jannson and Joanna Jannson
J. Opt. Soc. Am. 72(8) 1062-1067 (1982)

Coupled-mode theory for a plane and a cylindrical wave in optical waveguide Bragg grating lenses

Gen-ichi Hatakoshi and Shun-ichi Tanaka
J. Opt. Soc. Am. 71(1) 40-48 (1981)

Higher diffraction orders in on-axis holographic lenses

R. R. A. Syms and L. Solymar
Appl. Opt. 21(18) 3263-3268 (1982)

Efficiency of a holographic wave-front converter

H. Nishihara
Appl. Opt. 21(11) 1995-2000 (1982)

Conjugate diffraction order in a volume holographic off-axis lens

R. Ferrante, M. P. Owen, and L. Solymar
J. Opt. Soc. Am. 71(11) 1385-1389 (1981)