## Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices

JOSA A, Vol. 24, Issue 4, pp. 1063-1068 (2007)

http://dx.doi.org/10.1364/JOSAA.24.001063

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### Abstract

We assess the degree of coherence of vectorial electromagnetic fields in the space–frequency domain as the distance between the cross-spectral density matrix and the identity matrix representing completely incoherent light. This definition is compared with previous approaches. It is shown that this distance provides an upper bound for the degree of coherence and visibility for any pair of scalar waves obtained by linear combinations of the original fields. This same approach emerges when applying a previous definition of global coherence to a Young interferometer.

© 2007 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(260.2110) Physical optics : Electromagnetic optics

(260.5430) Physical optics : Polarization

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: July 6, 2006

Revised Manuscript: October 12, 2006

Manuscript Accepted: November 7, 2006

Published: March 14, 2007

**Citation**

Alfredo Luis, "Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices," J. Opt. Soc. Am. A **24**, 1063-1068 (2007)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-4-1063

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