Self-affinity in phase space

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

Based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite-Gauss modes, the expression for the Wigner distribution (WD) in polar coordinates has been derived. This representation allows to analyse easily the structure of the WD and to describe the field propagation through first-order optical systems including the self-imaging phenomenon.
Original languageEnglish
Pages (from-to)756-761
Number of pages6
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume17
Issue number4
DOIs
Publication statusPublished - 2000

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Optical systems
affinity
Decomposition
Imaging techniques
polar coordinates
decomposition
propagation

Cite this

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title = "Self-affinity in phase space",
abstract = "Based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite-Gauss modes, the expression for the Wigner distribution (WD) in polar coordinates has been derived. This representation allows to analyse easily the structure of the WD and to describe the field propagation through first-order optical systems including the self-imaging phenomenon.",
author = "T. Alieva and M.J. Bastiaans",
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Self-affinity in phase space. / Alieva, T.; Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 17, No. 4, 2000, p. 756-761.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Self-affinity in phase space

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2000

Y1 - 2000

N2 - Based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite-Gauss modes, the expression for the Wigner distribution (WD) in polar coordinates has been derived. This representation allows to analyse easily the structure of the WD and to describe the field propagation through first-order optical systems including the self-imaging phenomenon.

AB - Based on the decomposition of coherent and partially coherent fields on the orthogonal sets of Hermite-Gauss modes, the expression for the Wigner distribution (WD) in polar coordinates has been derived. This representation allows to analyse easily the structure of the WD and to describe the field propagation through first-order optical systems including the self-imaging phenomenon.

U2 - 10.1364/JOSAA.17.000756

DO - 10.1364/JOSAA.17.000756

M3 - Article

VL - 17

SP - 756

EP - 761

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

SN - 1084-7529

IS - 4

ER -