Abstract

A coherent optical system composed of a holographic mask and two Fourier lenses is described for performing an arbitrary linear transform. A set of equations for determining the amplitude-phase distribution of the mask is given. As a specific transform, the Walsh-Hadamard transform for orders 32 and 64 is optically made in 1-D space.

© 1988 Optical Society of America

General theory for performing an optical transform

Benyuan Gu, Guozhen Yang, and Bizhen Dong
Appl. Opt. 25(18) 3197-3206 (1986)

Design and implementation of the Walsh–Hadamard transform on a ternary optical computer

Wang Zhehe and Shen Yunfu
Appl. Opt. 60(30) 9254-9262 (2021)

Fast reconstructed and high-quality ghost imaging with fast Walsh–Hadamard transform

Le Wang and Shengmei Zhao
Photon. Res. 4(6) 240-244 (2016)

Analysis of images by Hadamard optical transform

B. E. Krivenkov, P. E. Tverdokhleb, and Yu. V. Chugui
Appl. Opt. 14(8) 1829-1834 (1975)

Walsh–Hadamard analysis applied to the study of light propagation in a tapered gradient-index medium

Osvaldo Trabocchi and Carlos Gómez-Reino
J. Opt. Soc. Am. A 21(3) 388-392 (2004)