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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 7 — Jul. 1, 2009
  • pp: 1721–1729

Elementary functions: propagation of partially coherent light

Anna Burvall, Arlene Smith, and Christopher Dainty  »View Author Affiliations

JOSA A, Vol. 26, Issue 7, pp. 1721-1729 (2009)

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The theory of propagation of partially coherent light is well known, but performing numerical calculations still presents a difficulty because of the dimensionality of the problem. We propose using a recently introduced method based on the use of elementary functions [ Wald et al., Proc. SPIE 6040, 59621G (2005) ] to reduce the integrals to two dimensions. We formalize the method, describe its inherent assumptions and approximations, and introduce a sampling criterion for adequate interpolation. We present an analysis of some special cases, such as the Gaussian Schell-model beam, and briefly discuss generalized numerical propagation of two-dimensional field distributions.

© 2009 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.4070) Coherence and statistical optics : Modes
(110.0110) Imaging systems : Imaging systems
(110.1650) Imaging systems : Coherence imaging
(110.2990) Imaging systems : Image formation theory
(110.4980) Imaging systems : Partial coherence in imaging

ToC Category:
Imaging Systems

Original Manuscript: January 21, 2009
Revised Manuscript: May 19, 2009
Manuscript Accepted: May 21, 2009
Published: June 25, 2009

Anna Burvall, Arlene Smith, and Christopher Dainty, "Elementary functions: propagation of partially coherent light," J. Opt. Soc. Am. A 26, 1721-1729 (2009)

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