Properties of the linear canonical integral transformation

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

70 Citations (Scopus)

Abstract

We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.
Original languageEnglish
Pages (from-to)3658-3665
Number of pages8
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume24
Issue number11
DOIs
Publication statusPublished - 2007

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integral transformations
Optical systems
coherent light
derivation
theorems
scaling
propagation
shift

Cite this

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abstract = "We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.",
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Properties of the linear canonical integral transformation. / Alieva, T.; Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 24, No. 11, 2007, p. 3658-3665.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Alieva, T.

AU - Bastiaans, M.J.

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AB - We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.

U2 - 10.1364/JOSAA.24.003658

DO - 10.1364/JOSAA.24.003658

M3 - Article

VL - 24

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

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

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