## Powers of transfer matrices determined by means of eigenfunctions

JOSA A, Vol. 16, Issue 10, pp. 2413-2418 (1999)

http://dx.doi.org/10.1364/JOSAA.16.002413

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### Abstract

The parameters of the transfer matrix describing a first-order optical system that is a cascade of *k* identical subsystems defined by the transfer matrix *M* are determined from consideration of the subsystem’s eigenfunctions. A condition for the cascade to be cyclic is derived. Particular examples of cyclic first-order optical systems are presented. Structure and properties of eigenfunctions of cyclic transforms are considered. A method of optical signal encryption by use of cyclic first-order systems is proposed.

© 1999 Optical Society of America

**OCIS Codes**

(070.1170) Fourier optics and signal processing : Analog optical signal processing

(110.1650) Imaging systems : Coherence imaging

(110.6980) Imaging systems : Transforms

**History**

Original Manuscript: April 13, 1999

Manuscript Accepted: June 24, 1999

Published: October 1, 1999

**Citation**

Tatiana Alieva and Martin J. Bastiaans, "Powers of transfer matrices determined by means of eigenfunctions," J. Opt. Soc. Am. A **16**, 2413-2418 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-10-2413

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