Abstract

In a recent work, an operator algebra was developed for the description of axially symmetrical coherent optical systems. The present work extends the operator representation to incorporate cylindircal lenses and is used to analyze the transforming properties of an arbitrarily oriented cylindrical lens. The results provide the basis for synthesizing various systems for signal processing, such as convolution and correlation operations.

© 1979 Optical Society of America

Fourier optics described by operator algebra

M. Nazarathy and J. Shamir
J. Opt. Soc. Am. 70(2) 150-159 (1980)

Holography described by operator algebra

Moshe Nazarathy and Joseph Shamir
J. Opt. Soc. Am. 71(5) 529-541 (1981)

Static and dynamic behavior of speckle patterns described by operator algebra

Y. Fainman, J. Shamir, and E. Lenz
Appl. Opt. 20(20) 3526-3538 (1981)

Iterative Fourier approach for describing linear, multiple plane, coherent optical processors

Robert E. Francois and F. Paul Carlson
Appl. Opt. 18(16) 2775-2782 (1979)

Transmission electron microscopy of weakly scattering objects described by operator algebra

Ardan Patwardhan
J. Opt. Soc. Am. A 20(7) 1210-1222 (2003)