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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 9 — Sep. 1, 2008
  • pp: 2338–2346

Coherence and polarization of electromagnetic beams modulated by random phase screens and their changes through complex A B C D optical systems

Steen G. Hanson, Wei Wang, Michael L. Jakobsen, and Mitsuo Takeda  »View Author Affiliations


JOSA A, Vol. 25, Issue 9, pp. 2338-2346 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002338


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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 A B C D -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

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6140) Coherence and statistical optics : Speckle
(260.5430) Physical optics : Polarization
(290.5855) Scattering : Scattering, polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: February 8, 2008
Revised Manuscript: July 9, 2008
Manuscript Accepted: July 21, 2008
Published: August 21, 2008

Citation
Steen G. Hanson, Wei Wang, Michael L. Jakobsen, and Mitsuo Takeda, "Coherence and polarization of electromagnetic beams modulated by random phase screens and their changes through complex ABCD optical systems," J. Opt. Soc. Am. A 25, 2338-2346 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-9-2338

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