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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

  • Vol. 22, Iss. 8 — Aug. 1, 2005
  • pp: 1536–1545

Theory of spatially and spectrally partially coherent pulses

Hanna Lajunen, Pasi Vahimaa, and Jani Tervo  »View Author Affiliations


JOSA A, Vol. 22, Issue 8, pp. 1536-1545 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001536


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Abstract

A coherent-mode representation for spatially and spectrally partially coherent pulses is derived both in the space-frequency domain and in the space-time domain. It is shown that both the cross-spectral density and the mutual coherence function of partially coherent pulses can be expressed as a sum of spatially and spectrally and temporally completely coherent modes. The concept of the effective degree of coherence for nonstationary fields is introduced. As an application of the theory, the propagation of Gaussian Schell-model pulsed beams in the space-frequency domain is considered and their coherent-mode representation is presented.

© 2005 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(320.5550) Ultrafast optics : Pulses

Citation
Hanna Lajunen, Pasi Vahimaa, and Jani Tervo, "Theory of spatially and spectrally partially coherent pulses," J. Opt. Soc. Am. A 22, 1536-1545 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-8-1536

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