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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 12 — Dec. 1, 2001
  • pp: 3061–3071

Power coupled between partially coherent vector fields in different states of coherence

Stafford Withington and Ghassan Yassin  »View Author Affiliations

JOSA A, Vol. 18, Issue 12, pp. 3061-3071 (2001)

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A procedure is described for calculating the power coupled between collimated, partially coherent vector fields that are in different states of coherence. This topic is of considerable importance in designing submillimeter-wave optical systems for astronomy. It is shown that if the incoming field S has coherence matrix A, and the outgoing field D has coherence matrix B, then the power coupled is simply Ps=Tr(ATBT), where the elements of T project the basis functions of B onto those of A. A similar technique can be used to calculate the power coupled from the background of S to D. The scheme is illustrated by calculating the power coupled between two scalar, Gaussian Schell-model beams. The procedure can be incorporated into optical design software.

© 2001 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.4070) Coherence and statistical optics : Modes
(030.6600) Coherence and statistical optics : Statistical optics
(040.1240) Detectors : Arrays
(040.1880) Detectors : Detection
(040.3060) Detectors : Infrared

Original Manuscript: February 26, 2001
Revised Manuscript: June 11, 2001
Manuscript Accepted: July 6, 2001
Published: December 1, 2001

Stafford Withington and Ghassan Yassin, "Power coupled between partially coherent vector fields in different states of coherence," J. Opt. Soc. Am. A 18, 3061-3071 (2001)

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