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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

  • Editor: Franco Gori
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2433–2443

Coherent-mode representation of partially polarized pulsed electromagnetic beams

Timo Voipio, Tero Setälä, and Ari T. Friberg  »View Author Affiliations


JOSA A, Vol. 30, Issue 11, pp. 2433-2443 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002433


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Abstract

Coherent-mode representation provides physical insight and computational simplification into the analysis of random optical signals. In this work, we present the coherent-mode decomposition for pulsed electromagnetic beam fields. We show that the mode decomposition can be done for any valid space–frequency or space–time coherence matrix representing nonstationary pulsed electric field, and moreover, the spectral and temporal modes are connected via a Fourier transform relation. The analysis also yields the coherent modes of electromagnetic time-domain signals in temporal optics. We present the overall degree of coherence as a measure of the average temporal or spectral and spatial coherence of the beam. Several illustrative examples are discussed analytically and numerically.

© 2013 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.4070) Coherence and statistical optics : Modes
(260.2110) Physical optics : Electromagnetic optics
(320.5550) Ultrafast optics : Pulses

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: August 2, 2013
Revised Manuscript: September 24, 2013
Manuscript Accepted: September 24, 2013
Published: October 30, 2013

Citation
Timo Voipio, Tero Setälä, and Ari T. Friberg, "Coherent-mode representation of partially polarized pulsed electromagnetic beams," J. Opt. Soc. Am. A 30, 2433-2443 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-11-2433

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