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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 7 — Jul. 1, 2006
  • pp: 1626–1630

Class of basis functions for use in optical systems analysis

Lee Estes, Adam Jilling, Gabriel Lombardi, and Jerry Butman  »View Author Affiliations


JOSA A, Vol. 23, Issue 7, pp. 1626-1630 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001626


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Abstract

A method is described for modeling the effects of spatial apertures on optical sensor systems. The method consists of defining a set of basis functions that is obtained by partitioning the aperture image plane into a series of rectangular regions and replacing the field in each rectangular subregion with an orthogonal function series approximation. Each orthogonal function has a finite extent that is matched to the aperture image. The individual functions are propagated by application of the Fresnel approximation of the Rayleigh–Sommerfeld diffraction formula to other ranges, and the resultant functions are shown to be valid basis functions for defining a field at any other range. The technique is applied to a scattering problem using complex Fourier series.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(030.1640) Coherence and statistical optics : Coherence
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: July 22, 2005
Revised Manuscript: January 11, 2006
Manuscript Accepted: January 17, 2006

Citation
Lee Estes, Adam Jilling, Gabriel Lombardi, and Jerry Butman, "Class of basis functions for use in optical systems analysis," J. Opt. Soc. Am. A 23, 1626-1630 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-7-1626

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