Exact transparent boundary condition for the parabolic equation in a rectangular computational domain

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 transve...

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Published inJournal of the Optical Society of America. A, Optics, image science, and vision Vol. 28; no. 3; p. 373
Main Authors Feshchenko, R M, Popov, A V
Format Journal Article
LanguageEnglish
Published United States 01.03.2011
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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.
AbstractList 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.
Author Popov, A V
Feshchenko, R M
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BackLink https://www.ncbi.nlm.nih.gov/pubmed/21383819$$D View this record in MEDLINE/PubMed
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Snippet In this paper, an exact three-dimensional transparent boundary condition for the parabolic wave equation in a rectangular computational domain is reported. It...
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Title Exact transparent boundary condition for the parabolic equation in a rectangular computational domain
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