A note on quasiperiodic Green's functions for arrays

Brougham, Rachel I and Thompson, Ian ORCID: 0000-0001-5537-450X (2016) A note on quasiperiodic Green's functions for arrays. JOURNAL OF ENGINEERING MATHEMATICS, 98 (1). pp. 39-48.

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Official URL: http://dx.doi.org/10.1007/s10665-015-9809-7

Abstract

We consider a one-dimensional array in two-dimensional space (a grating) and obtain a new representation for the associated quasiperiodic Green’s function for the Helmholtz equation, intended for use when the observer is on, or close to, the axis of the array. This is compared to a formula from existing literature, which was obtained using Ewald summation. We find that the new representation is easier to compute and generalises to account for arrays of higher-order singularities in a simple way.

Item Type:	Article
Uncontrolled Keywords:	Arrays, Gratings, Lattices, Quasiperiodic Green's function
Depositing User:	Symplectic Admin
Date Deposited:	14 Jun 2016 10:56
Last Modified:	19 Jan 2023 07:35
DOI:	10.1007/s10665-015-9809-7
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001666