A Direct Method for Bloch Wave Excitation by Scattering at the Edge of a Lattice. Part I: Point Scatterer Problem
A Direct Method for Bloch Wave Excitation by Scattering at the Edge of a Lattice. Part I: Point Scatterer Problem
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一种通过晶格边缘散射激发布洛赫波的直接方法。
DOI：
10.1093/qjmam/hbx022
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发表时间：
2018
影响因子：
0.9
通讯作者：
R. I. Brougham
中科院分区：
文献类型：
--
作者：
I. Thompson;R. I. Brougham
本文提出了一种测定晶格反射和透射特性的新方法。该方法使用多极展开，和某些转换的代数方程组时出现的边界条件。它比早期基于积分变换和维纳-霍普夫技术的方法更直接、更简单。该方法被证明的情况下，一个半无限晶格的声音软声学点散射，但可以很容易地概括到有限的尺寸效应，更一般的边界条件。
A new method for determining the reflection and transmission properties of lattices is developed. The method uses multipole expansions, and certain transformations of the algebraic equation systems that appear when boundary conditions are applied. It is more direct, and much simpler, than earlier approaches based on integral transforms and the Wiener–Hopf technique. The method is demonstrated for the case of a semi-infinite lattice of sound soft acoustic point scatterers, but can easily be generalised to account for finite size effects, and more general boundary conditions.