Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

Publisher: Cambridge University Press

E-ISSN: 2075-1354|5|3|337-350

ISSN: 2070-0733

Source: Advances in Applied Mathematics and Mechanics, Vol.5, Iss.3, 2013-06, pp. : 337-350

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Abstract

Matching boundary conditions (MBC’s) are proposed to treat scalar waves in the body-centered-cubic lattices. By matching the dispersion relation, we construct MBC’s for normal incidence and incidence with an angle α. Multiplication of MBC operators then leads to multi-directional absorbing boundary conditions. The effectiveness are illustrated by the reflection coefficient analysis and wave packet tests. In particular, the designed M1M1 treats the scalar waves in a satisfactory manner.