Abstract

System theory for holographic representation of linear space-variant systems is derived. The utility of the resulting piecewise isoplanatic approximation (PIA) is illustrated by example application to the invariant system, ideal magnifier, and Fourier transformer. A method previously employed to holographically represent a space-variant system, the discrete approximation, is shown to be a special case of the PIA.

© 1976 Optical Society of America

Piecewise isoplanatic modeling of space-variant linear systems

Shing-Hong Lin, Thomas F. Krile, and John F. Walkup
J. Opt. Soc. Am. A 4(3) 481-487 (1987)

Holographic representations of space-variant systems using phase-coded reference beams

Thomas F. Krile, Robert J. Marks, John F. Walkup, and Marion O. Hagler
Appl. Opt. 16(12) 3131-3135 (1977)

Representations of space-variant optical systems using volume holograms

Lewis M. Deen, John F. Walkup, and Marion O. Hagler
Appl. Opt. 14(10) 2438-2446 (1975)

A sampling theorem for space-variant systems

Robert J. Marks, John F. Walkup, and Marion O. Hagler
J. Opt. Soc. Am. 66(9) 918-921 (1976)

Multiplex hologram representations of space-variant optical systems using ground-glass encoded reference beams

Mike I. Jones, John F. Walkup, and Marion O. Hagler
Appl. Opt. 21(7) 1291-1297 (1982)