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J Opt Soc Am A Opt Image Sci Vis. 2013 Nov 01;30(11):2433-43. doi: 10.1364/JOSAA.30.002433.

Coherent-mode representation of partially polarized pulsed electromagnetic beams.

Journal of the Optical Society of America. A, Optics, image science, and vision

Timo Voipio, Tero Setälä, Ari T Friberg

PMID: 24322946 DOI: 10.1364/JOSAA.30.002433

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.

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