晶格边缘散射直接激发布洛赫波的方法。第一部分:点散射问题

IF 0.8 4区工程技术 Q3 MATHEMATICS, APPLIED

Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2018-02-01 DOI:10.1093/QJMAM/HBX022

I. Thompson, R. I. Brougham

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引用次数: 5

摘要

提出了一种确定晶格反射和透射性质的新方法。该方法使用多极展开，以及应用边界条件时出现的代数方程组的某些变换。它比以前基于积分变换和Wiener-Hopf技术的方法更直接、更简单。该方法被证明适用于声音软声点散射体的半无限晶格的情况，但可以很容易地推广到有限尺寸效应和更一般的边界条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Direct Method for Bloch Wave Excitation by Scattering at the Edge of a Lattice. Part I: Point Scatterer Problem

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.

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来源期刊

Quarterly Journal of Mechanics and Applied Mathematics 物理-力学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.