Properties of linear canonical integral transforms

T. Alieva; M.J. Bastiaans

Properties of linear canonical integral transforms

T. Alieva
, M.J. Bastiaans

Signal Processing Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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 language	English
Title of host publication	Proc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia
Editors	M.L. Calvo, A.V. Pavlov, J. Jahns
Place of Publication	St. Petersburg, Russia
Publisher	ITMO
Pages	200-202
ISBN (Print)	5-7921-0719-6
Publication status	Published - 2006

Cite this

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title = "Properties of linear canonical integral transforms",

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.",

author = "T. Alieva and M.J. Bastiaans",

year = "2006",

language = "English",

isbn = "5-7921-0719-6",

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Properties of linear canonical integral transforms. / Alieva, T.; Bastiaans, M.J.
Proc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia. ed. / M.L. Calvo; A.V. Pavlov; J. Jahns. St. Petersburg, Russia: ITMO, 2006. p. 200-202.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Properties of linear canonical integral transforms

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2006

Y1 - 2006

N2 - 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.

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.

M3 - Conference contribution

SN - 5-7921-0719-6

SP - 200

EP - 202

BT - Proc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia

A2 - Calvo, M.L.

A2 - Pavlov, A.V.

A2 - Jahns, J.

PB - ITMO

CY - St. Petersburg, Russia

ER -

Properties of linear canonical integral transforms

Abstract

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