## Partially coherent vectorial nonparaxial beams

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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