A DIRECT METHOD FOR BLOCH WAVE EXCITATION BY SCATTERING AT THE EDGE OF A LATTICE. PART I: POINT SCATTERER PROBLEM

Thompson, I ORCID: 0000-0001-5537-450X and Brougham, RI (2018) A DIRECT METHOD FOR BLOCH WAVE EXCITATION BY SCATTERING AT THE EDGE OF A LATTICE. PART I: POINT SCATTERER PROBLEM. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 71 (1). pp. 1-24.

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Abstract

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 theWiener-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.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	01 Aug 2017 06:14
Last Modified:	15 Mar 2024 03:06
DOI:	10.1093/qjmam/hbx022
Related URLs:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3008755