Powers of transfer matrices determined by means of eigenfunctions

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)


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 considering 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 using cyclic first-order systems is proposed.
Original languageEnglish
Pages (from-to)2413-2418
Number of pages6
JournalJournal of the Optical Society of America A, Optics and Image Science
Issue number10
Publication statusPublished - 1999


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