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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: Franco Gori
  • Vol. 30, Iss. 2 — Feb. 1, 2013
  • pp: 259–263

Adaptive boundaryless finite-difference method

Dorilian Lopez-Mago and Julio C. Gutiérrez-Vega  »View Author Affiliations


JOSA A, Vol. 30, Issue 2, pp. 259-263 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000259


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Abstract

The boundaryless beam propagation method uses a mapping function to transform the infinite real space into a finite-size computational domain [Opt. Lett. 21, 4 (1996)]. This leads to a bounded field that avoids the artificial reflections produced by the computational window. However, the method suffers from frequency aliasing problems, limiting the physical region to be sampled. We propose an adaptive boundaryless method that concentrates the higher density of sampling points in the region of interest. The method is implemented in Cartesian and cylindrical coordinate systems. It keeps the same advantages of the original method but increases accuracy and is not affected by frequency aliasing.

© 2013 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(080.1510) Geometric optics : Propagation methods
(350.5500) Other areas of optics : Propagation
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Geometric Optics

History
Original Manuscript: November 20, 2012
Revised Manuscript: January 11, 2013
Manuscript Accepted: January 14, 2013
Published: January 31, 2013

Citation
Dorilian Lopez-Mago and Julio C. Gutiérrez-Vega, "Adaptive boundaryless finite-difference method," J. Opt. Soc. Am. A 30, 259-263 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-2-259

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