Powers of transfer matrices determined by means of eigenfunctions

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)

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 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
Volume16
Issue number10
DOIs
Publication statusPublished - 1999

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Optical Devices
Eigenvalues and eigenfunctions
Optical systems
Cryptography

Cite this

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title = "Powers of transfer matrices determined by means of eigenfunctions",
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 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.",
author = "T. Alieva and M.J. Bastiaans",
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language = "English",
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issn = "0740-3232",
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Powers of transfer matrices determined by means of eigenfunctions. / Alieva, T.; Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics and Image Science, Vol. 16, No. 10, 1999, p. 2413-2418.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Powers of transfer matrices determined by means of eigenfunctions

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

U2 - 10.1364/JOSAA.16.002413

DO - 10.1364/JOSAA.16.002413

M3 - Article

VL - 16

SP - 2413

EP - 2418

JO - Journal of the Optical Society of America A, Optics and Image Science

JF - Journal of the Optical Society of America A, Optics and Image Science

SN - 0740-3232

IS - 10

ER -