Modal expansion for spherical homogeneous sources

Franco Gori, Olga Korotkova

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The modal expansion of a class of stochastic spherical scalar sources is studied. At the surface of these sources the cross-spectral density is assumed to be homogeneous, in the sense that the power spectrum is position-independent and the spectral degree of coherence depends on the angular distance between points only. It is shown that for any such source the modes are given by the spherical harmonics and the associated eigenvalues can be evaluated by solving simple integrals. Three examples of the spectral degree of coherence for this type of sources are given for which the eigenvalues can be found in closed form.

Original languageEnglish (US)
Pages (from-to)3859-3861
Number of pages3
JournalOptics Communications
Volume282
Issue number19
DOIs
StatePublished - Oct 1 2009

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expansion
Spectral density
Power spectrum
eigenvalues
spherical harmonics
power spectra
scalars

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry

Cite this

Modal expansion for spherical homogeneous sources. / Gori, Franco; Korotkova, Olga.

In: Optics Communications, Vol. 282, No. 19, 01.10.2009, p. 3859-3861.

Research output: Contribution to journalArticle

Gori, Franco ; Korotkova, Olga. / Modal expansion for spherical homogeneous sources. In: Optics Communications. 2009 ; Vol. 282, No. 19. pp. 3859-3861.
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