Volume 5, Issue 3
Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

Ming Fang ,  Xianming Wang ,  Zhihui Li and Shaoqiang Tang

10.4208/aamm.12-m1264

Adv. Appl. Math. Mech., 5 (2013), 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 alpha. 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.

  • History

Published online: 2013-05

  • AMS Subject Headings

65Z05, 70-08

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