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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

  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1043–1047

Waveletlike basis function approach to the propagation of paraxial beams

Robert M. Potvliege  »View Author Affiliations


JOSA A, Vol. 17, Issue 6, pp. 1043-1047 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001043


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Abstract

A semianalytical method is described for calculating the diffraction integral for paraxial propagation through an optical system. The field at the input plane is represented by a linear superposition of nearly Gaussian basis functions that keep a simple analytical form under ABCD propagation. The coefficients of the superposition are obtained by a numerical fit. The flexibility of the basis functions makes the method well suited to dealing with sharp local variations of the input field.

© 2000 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1970) Diffraction and gratings : Diffractive optics
(260.1960) Physical optics : Diffraction theory

Citation
Robert M. Potvliege, "Waveletlike basis function approach to the propagation of paraxial beams," J. Opt. Soc. Am. A 17, 1043-1047 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-6-1043

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