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

Ming Fang, Xianming Wang, Zhihui Li & Shaoqiang Tang

Adv. Appl. Math. Mech., 5 (2013), pp. 337-350.

Published online: 2013-05

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

  • Keywords

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

  • AMS Subject Headings

65Z05, 70-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-337, author = {Ming and Fang and and 20131 and and Ming Fang and Xianming and Wang and and 20132 and and Xianming Wang and Zhihui and Li and and 20133 and and Zhihui Li and Shaoqiang and Tang and and 20134 and and Shaoqiang Tang}, title = {Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {3}, pages = {337--350}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1264}, url = {http://global-sci.org/intro/article_detail/aamm/73.html} }
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 -

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.

Ming Fang, Xianming Wang, Zhihui Li & Shaoqiang Tang. (1970). Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices. Advances in Applied Mathematics and Mechanics. 5 (3). 337-350. doi:10.4208/aamm.12-m1264
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