A note on quasiperiodic Green's functions for arrays

作者:Brougham Rachel I; Thompson Ian*
来源:Journal of Engineering Mathematics, 2016, 98(1): 39-48.
DOI:10.1007/s10665-015-9809-7

摘要

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.

  • 出版日期2016-6

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