Elementary functions: propagation of partially coherent light
JOSA A, Vol. 26, Issue 7, pp. 1721-1729 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001721
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Abstract
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
History
Original Manuscript: January 21, 2009
Revised Manuscript: May 19, 2009
Manuscript Accepted: May 21, 2009
Published: June 25, 2009
Citation
Anna Burvall, Arlene Smith, and Christopher Dainty, "Elementary functions: propagation of partially coherent light," J. Opt. Soc. Am. A 26, 1721-1729 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-7-1721
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