## Theory of partially coherent electromagnetic fields in the space–frequency domain

JOSA A, Vol. 21, Issue 11, pp. 2205-2215 (2004)

http://dx.doi.org/10.1364/JOSAA.21.002205

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### Abstract

We construct the coherent-mode representation for fluctuating, statistically stationary electromagnetic fields. The modes are shown to be spatially fully coherent in the sense of a recently introduced spectral degree of electromagnetic coherence. We also prove that the electric cross-spectral density tensor can be rigorously expressed as a correlation tensor averaged over an appropriate ensemble of strictly monochromatic vectorial wave functions. The formalism is demonstrated for partially polarized, partially coherent Gaussian Schell-model beams, but the theory applies to arbitrary random electromagnetic fields and can find applications in radiation and propagation and in inverse problems.

© 2004 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(030.6600) Coherence and statistical optics : Statistical optics

(260.2110) Physical optics : Electromagnetic optics

(260.5430) Physical optics : Polarization

**History**

Original Manuscript: February 24, 2004

Revised Manuscript: June 7, 2004

Manuscript Accepted: June 7, 2004

Published: November 1, 2004

**Citation**

Jani Tervo, Tero Setälä, and Ari T. Friberg, "Theory of partially coherent electromagnetic fields in the space–frequency domain," J. Opt. Soc. Am. A **21**, 2205-2215 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-11-2205

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