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Exact transparent boundary condition for the parabolic equation in a rectangular computational domain |
JOSA A, Vol. 28, Issue 3, pp. 373-380 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000373
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Abstract
In this paper, an exact three-dimensional transparent boundary condition for the parabolic wave equation in a rectangular computational domain is reported. It is a generalization of the well-known two-dimensional Basakov–Popov–Papadakis transparent boundary condition. It relates the boundary transversal derivative of the wave field at any given longitudinal position to the field values at all preceding computational steps. Several examples demonstrate propagation of light along simple structured optical fibers as well as in x-ray guiding structures. The proposed condition is simple and robust and can help to reduce the size of the computational domain considerably.
© 2011 Optical Society of America
OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2310) Fiber optics and optical communications : Fiber optics
(260.1960) Physical optics : Diffraction theory
(340.0340) X-ray optics : X-ray optics
ToC Category:
Physical Optics
History
Original Manuscript: October 18, 2010
Revised Manuscript: December 17, 2010
Manuscript Accepted: December 22, 2010
Published: February 23, 2011
Citation
R. M. Feshchenko and A. V. Popov, "Exact transparent boundary condition for the parabolic equation in a rectangular computational domain," J. Opt. Soc. Am. A 28, 373-380 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-3-373
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