Application of the Wigner distribution function to partially coherent light

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Abstract

The paper presents a review of the Wigner distribution function (WDF) and of some of its applications to optical problems, especially in the field of partial coherence. The WDF describes a signal in space and in spatial frequency simultaneously and can be considered the local spatial-frequency spectrum of the signal. Although derived in terms of Fourier optics, the description of an optical signal by means of its WDF closely resembles the ray concept in geometrical optics; the WDF thus presents a link between partial coherence and radiometry. Properties of the WDF and its propagation through linear optical systems are considered; again, the description of systems by WDF's can be interpreted directly in geometric-optical terms. Some examples are included to show how the WDF can be applied to practical problems that arise in the field of partial coherence.
Original languageEnglish
Pages (from-to)1227-1238
Number of pages10
JournalJournal of the Optical Society of America A, Optics and Image Science
Volume3
Issue number8
DOIs
Publication statusPublished - 1986

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Radiometry
Optical Devices
Distribution functions
Light
Fourier optics
Geometrical optics
Optical systems

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title = "Application of the Wigner distribution function to partially coherent light",
abstract = "The paper presents a review of the Wigner distribution function (WDF) and of some of its applications to optical problems, especially in the field of partial coherence. The WDF describes a signal in space and in spatial frequency simultaneously and can be considered the local spatial-frequency spectrum of the signal. Although derived in terms of Fourier optics, the description of an optical signal by means of its WDF closely resembles the ray concept in geometrical optics; the WDF thus presents a link between partial coherence and radiometry. Properties of the WDF and its propagation through linear optical systems are considered; again, the description of systems by WDF's can be interpreted directly in geometric-optical terms. Some examples are included to show how the WDF can be applied to practical problems that arise in the field of partial coherence.",
author = "M.J. Bastiaans",
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language = "English",
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journal = "Journal of the Optical Society of America A, Optics and Image Science",
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}

Application of the Wigner distribution function to partially coherent light. / Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics and Image Science, Vol. 3, No. 8, 1986, p. 1227-1238.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Application of the Wigner distribution function to partially coherent light

AU - Bastiaans, M.J.

PY - 1986

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AB - The paper presents a review of the Wigner distribution function (WDF) and of some of its applications to optical problems, especially in the field of partial coherence. The WDF describes a signal in space and in spatial frequency simultaneously and can be considered the local spatial-frequency spectrum of the signal. Although derived in terms of Fourier optics, the description of an optical signal by means of its WDF closely resembles the ray concept in geometrical optics; the WDF thus presents a link between partial coherence and radiometry. Properties of the WDF and its propagation through linear optical systems are considered; again, the description of systems by WDF's can be interpreted directly in geometric-optical terms. Some examples are included to show how the WDF can be applied to practical problems that arise in the field of partial coherence.

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