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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

  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 561–568

Degree of polarization in tightly focused optical fields

Klas Lindfors, Tero Setälä, Matti Kaivola, and Ari T. Friberg  »View Author Affiliations


JOSA A, Vol. 22, Issue 3, pp. 561-568 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000561


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Abstract

We analyze the degree of polarization of random, statistically stationary electromagnetic fields in the focal region of a high-numerical-aperture imaging system. The Richards–Wolf theory for focusing is employed to compute the full 3 × 3 electric coherence matrix, from which the degree of polarization is obtained by using a recent definition for general three-dimensional electromagnetic waves. Significant changes in the state of partial polarization, compared with that of the incident illumination, are observed. For example, a wave consisting of two orthogonal and uncorrelated incident-electric-field components produces rings of full polarization in the focal plane. These effects are explained by considering the distribution of the spectral densities of the three electric field components as well as the correlations between them.

© 2005 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(110.2990) Imaging systems : Image formation theory
(260.5430) Physical optics : Polarization

History
Original Manuscript: July 8, 2004
Manuscript Accepted: September 11, 2004
Published: March 1, 2005

Citation
Klas Lindfors, Ari T. Friberg, Tero Setälä, and Matti Kaivola, "Degree of polarization in tightly focused optical fields," J. Opt. Soc. Am. A 22, 561-568 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-3-561


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