Diffraction of acoustic waves by a wedge of point scatterers
Abstract
This article considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete Wiener--Hopf technique. An effective and accurate iterative numerical procedure is developed to solve the diffraction problem, which allows us to compute the interaction of thousands of scatterers forming the wedge. A crucial aspect of this numerical procedure is the effective truncation of slowly convergent single and double infinite series, which requires careful asymptotic analysis. A convergence criteria is formulated and shown to be satisfied for a large class of physically interesting cases. A comparison to direct numerical simulations is made, highlighting the accuracy of the method.
Keywords
Cite
@article{arxiv.2108.12632,
title = {Diffraction of acoustic waves by a wedge of point scatterers},
author = {M. A. Nethercote and A. V. Kisil and R. C. Assier},
journal= {arXiv preprint arXiv:2108.12632},
year = {2022}
}
Comments
24 pages, 11 figures (12 image files)