Coherence and polarization of electromagnetic beams modulated by random phase screens and their changes through complex ABCD optical systems

Steen G. Hanson, Wei Wang, Michael L. Jakobsen, Mitsuo Takeda

Research output: Contribution to journalArticle

Abstract

The change of coherence and polarization of an electromagnetic beam modulated by a random anisotropic phase screen passing through any optical system is found within the framework of complex ABCD-matrix theory This means that the formalism can treat imaging and Fourier transform and free-space optical systems, as well as fractional Fourier transform systems, with finite-size limiting apertures of Gaussian transmission shape. Thus, the current paper shall be considered as a continuation, extension, and generalization of a previous work by Shirai and Wolf [J. Opt. Soc. Am. A 21, 1907 (2004)]. It will be shown that the inclusion of apertures in the optical system strongly influences not only the propagation of spatial coherence but also the degree of polarization of a propagating field. Analytical expressions of coherence and polarization propagation will be given in terms of the matrix elements for any complex optical system. © 2008 Optical Society of America.

Original languageEnglish
Pages (from-to)2338-2346
Number of pages9
JournalJournal of the Optical Society of America A
Volume25
Issue number9
DOIs
Publication statusPublished - Sep 2008

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electromagnetism
polarization
apertures
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matrix theory
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formalism
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abstract = "The change of coherence and polarization of an electromagnetic beam modulated by a random anisotropic phase screen passing through any optical system is found within the framework of complex ABCD-matrix theory This means that the formalism can treat imaging and Fourier transform and free-space optical systems, as well as fractional Fourier transform systems, with finite-size limiting apertures of Gaussian transmission shape. Thus, the current paper shall be considered as a continuation, extension, and generalization of a previous work by Shirai and Wolf [J. Opt. Soc. Am. A 21, 1907 (2004)]. It will be shown that the inclusion of apertures in the optical system strongly influences not only the propagation of spatial coherence but also the degree of polarization of a propagating field. Analytical expressions of coherence and polarization propagation will be given in terms of the matrix elements for any complex optical system. {\circledC} 2008 Optical Society of America.",
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Coherence and polarization of electromagnetic beams modulated by random phase screens and their changes through complex ABCD optical systems. / Hanson, Steen G.; Wang, Wei; Jakobsen, Michael L.; Takeda, Mitsuo.

In: Journal of the Optical Society of America A, Vol. 25, No. 9, 09.2008, p. 2338-2346.

Research output: Contribution to journalArticle

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