Abstract

A new method for performing optical coordinate transformation is presented. It is based on a curved holographic element on which the interference pattern of two perpendicular plane waves is recorded. The design procedures and results for two curved elements that perform a one-dimensional logarithmic coordinate transformation and a Gaussian-to-uniform-beam conversion are given.

© 1991 Optical Society of America

Coordinate transformations realizable with multiple holographic optical elements

M. A. Stuff and J. N. Cederquist
J. Opt. Soc. Am. A 7(6) 977-981 (1990)

Optical coordinate transformations

N. Davidson, A. A. Friesem, and E. Hasman
Appl. Opt. 31(8) 1067-1073 (1992)

Design and fabricate freeform holographic optical elements on curved optical surfaces using holographic printing

Tian Shu, Chunyang Pei, Rengmao Wu, Haifeng Li, and Xu Liu
Opt. Lett. 48(24) 6537-6540 (2023)

Multifacet holographic optical elements for wave front transformations

S. K. Case, P. R. Haugen, and O. J. Løkberg
Appl. Opt. 20(15) 2670-2675 (1981)

Space-variant holographic optical elements in dichromated gelatin

Brian Robertson, Edward J. Restall, Mohammad R. Taghizadeh, and Andrew C. Walker
Appl. Opt. 30(17) 2368-2375 (1991)