TY - JOUR
T1 - Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices
AU - Fang , Ming
AU - Wang , Xianming
AU - Li , Zhihui
AU - Tang , Shaoqiang
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 337
EP - 350
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1264
UR - https://global-sci.org/intro/article_detail/aamm/73.html
KW - Body-centered-cubic (BCC) crystalline solids, dispersion relation, matching boundary condition, reflection coefficient, scalar waves.
AB - <p style="text-align: justify;">Matching boundary conditions (MBC&#39;s) are proposed to treat scalar
waves in the body-centered-cubic lattices. By matching the
dispersion relation, we construct MBC&#39;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.</p>