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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. 21, Iss. 10 — Oct. 1, 2004
  • pp: 1924–1932

Partially coherent vectorial nonparaxial beams

Kailiang Duan and Baida Lü  »View Author Affiliations


JOSA A, Vol. 21, Issue 10, pp. 1924-1932 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001924


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Abstract

Generalized vectorial Rayleigh–Sommerfeld diffraction integrals are developed for the cross-spectral-density matrices of spatially partially coherent beams. Using the Gaussian Schell-model (GSM) beam as an example, we derive the expressions for the propagation of cross-spectral-density matrices and intensity of partially coherent vectorial nonparaxial beams, and the corresponding far-field asymptotic forms, beyond the paraxial approximation. The propagation of the vectorial nonparaxial GSM beams are evaluated and analyzed. It is shown that a 3 × 3 cross-spectral-density matrix or a vector theory is required for the exact description of nonparaxial GSM beams.

© 2004 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1940) Diffraction and gratings : Diffraction

Citation
Kailiang Duan and Baida Lü, "Partially coherent vectorial nonparaxial beams," J. Opt. Soc. Am. A 21, 1924-1932 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-10-1924


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