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

Authors

  • Ming Fang
  • Xianming Wang
  • Zhihui Li
  • Shaoqiang Tang

DOI:

https://doi.org/10.4208/aamm.12-m1264

Keywords:

Body-centered-cubic (BCC) crystalline solids, dispersion relation, matching boundary condition, reflection coefficient, scalar waves.

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 is illustrated by the reflection coefficient analysis and wave packet tests. In particular, the designed M1M1 treats the scalar waves in a satisfactory manner.

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Published

2013-05-01

Issue

Vol. 5 No. 3 (2013)

Section

Articles