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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. 4 — Apr. 1, 2006
  • pp: 866–871

Boundaryless finite-difference method for three-dimensional beam propagation

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega  »View Author Affiliations


JOSA A, Vol. 23, Issue 4, pp. 866-871 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000866


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Abstract

A two-dimensional optical field paraxial propagation scheme, in Cartesian and cylindrical coordinate systems, is proposed. This is achieved by extending the method originally proposed by Ladouceur [Opt. Lett. 21, 4 (1996) ] for boundaryless beam propagation to two-dimensional optical wave fields. With this formulation the arbitrary choice of physical window size is avoided by mapping the infinite transverse dimensions into a finite-size domain with an appropriate change of variables, thus avoiding the energy loss through the artificial physical boundary that is usually required for the absorbing or the transparent boundary approach.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 8, 2005
Revised Manuscript: October 14, 2005
Manuscript Accepted: October 20, 2005

Citation
Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega, "Boundaryless finite-difference method for three-dimensional beam propagation," J. Opt. Soc. Am. A 23, 866-871 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-4-866

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