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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 3 — Mar. 1, 1982
  • pp: 343–351

New theory of partial coherence in the space-frequency domain. Part I: spectra and cross spectra of steady-state sources

Emil Wolf  »View Author Affiliations


JOSA, Vol. 72, Issue 3, pp. 343-351 (1982)
http://dx.doi.org/10.1364/JOSA.72.000343


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Abstract

It is shown that, under very general conditions, the cross-spectral density of a steady-state source of any state of coherence may be expressed in terms of certain new modes of oscillations, each of which represents a completely spatially coherent elementary excitation. Making use of this result, a statistical ensemble of strictly monochromatic oscillations, all of the same temporal frequency, is then introduced that yields the cross-spectral density as a correlation function in the space-frequency domain. From these results two new expressions for the Wiener-Khintchine spectrum of the source and also a new mode representation of the cross-correlation function of the source follow at once.

© 1982 Optical Society of America

Citation
Emil Wolf, "New theory of partial coherence in the space-frequency domain. Part I: spectra and cross spectra of steady-state sources," J. Opt. Soc. Am. 72, 343-351 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-3-343

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