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Transparent Boundary Conditions for a Wide-Angle Approximation of the One-Way Helmholtz Equation

✍ Scribed by Tilmann Friese; Frank Schmidt; David Yevick

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 126 KB
Volume: 165
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2000.6637

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✦ Synopsis

We present nonlocal discrete transparent boundary conditions for a fourth-order wide-angle approximation of the two-dimensional Helmholtz equation. The boundary conditions are exact in the sense that they supply the same discrete solution on a bounded interior domain as would be obtained by considering the problem on the entire unbounded domain with zero boundary conditions at infinity. The proposed algorithm results in an unconditionally stable propagation method. Numerical examples from optics illustrate the efficiency of our approach.

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