Free-space propagation of the spectral degree of cross-polarization of stochastic electromagnetic beams

Serkan Sahin, Olga Korotkova, Guowen Zhang, Jixiong Pu

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Based on the unified theory of coherence and polarization and the extended Huygens-Fresnel integral the free-space evolution of the recently introduced spectral degree of cross-polarization of a stochastic electromagnetic beam is studied. Unlike the spectral degree of coherence, the degree of cross-polarization is unbounded and exhibits non-monotonic changes with growing propagation distance and growing radial distance from the center of the beam, at fixed transverse cross-sections. Our numerical results pertain to the electromagnetic Gaussian Schell-model beams. We derive expressions for the cross-spectral density matrix of the EGSM beam for arbitrary transverse and longitudinal positions. The results show that the behavior of the degree of cross-polarization on propagation is determined by all of the parameters of the source radiating the beam. At sufficiently large distances from the source, the degree of cross-polarization stabilizes for all points within the beam independently of their radial positions.

Original languageEnglish (US)
Article number085703
JournalJournal of Optics A: Pure and Applied Optics
Volume11
Issue number8
DOIs
StatePublished - Nov 18 2009

Keywords

  • Electromagnetic beams
  • Polarization
  • Propagation
  • Random beams

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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