Approximations to wave propagation through a lattice of Dirichlet scatterers
Approximations to wave propagation through a lattice of Dirichlet scatterers
复制标题
通过狄利克雷散射体晶格的波传播的近似
DOI：
10.1080/17455030802616855
复制
发表时间：
2009
影响因子：
--
通讯作者：
P. Mciver
中科院分区：
文献类型：
--
作者：
A. Krynkin;P. Mciver
当由亥姆霍兹方程控制的波传播通过二维散射体晶格（每个散射体均施加均匀狄利克雷边界条件）时，匹配渐近展开方案用于获得色散关系的近似值。散射体必须相同，但可以是任何形状，只要每个散射体相对于波长和晶格周期性较小即可。结果与使用均匀化获得的结果不同，因为不要求波长比晶格周期长得多，因此可以描述带隙。
A scheme of matched asymptotic expansions is used to obtain approximations to the dispersion relation when waves, governed by the Helmholtz equation, propagate through a two-dimensional lattice of scatterers on each of which a homogeneous Dirichlet boundary condition is imposed. The scatterers must be identical, but can be of any shape as long as each is small relative to the wavelength and the lattice periodicity. The results differ from those obtained using homogenisation in that there is no requirement that the wavelength be much longer than the lattice periodicity, and hence it is possible to describe band gaps.
DOI：
10.1098/rspa.2007.0267
发表时间：
2008-05-08
影响因子：
3.5
作者：
Andrianov, Igor V.;Bolshakov, Vladimir I.;Weichert, Dieter
通讯作者：
Weichert, Dieter