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Powers of transfer matrices determined by means of eigenfunctions

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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

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