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

Şahin S., Korotkova O., Zhang G., Pu J.

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, cilt.11, sa.8, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 8
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1088/1464-4258/11/8/085703
  • Dergi Adı: JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Anahtar Kelimeler: propagation, random beams, electromagnetic beams, polarization, STOKES PARAMETERS, COHERENCE, STATE
  • TED Üniversitesi Adresli: Hayır

Özet

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.