Diffraction of Acoustic Waves by a Wedge of Point Scatterers

Research output: Contribution to journalArticlepeer-review

23 Downloads (Pure)


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 criterion 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.
Original languageEnglish
JournalSIAM Journal of Applied Mathematics
Issue number3
Publication statusPublished - 23 May 2022


Dive into the research topics of 'Diffraction of Acoustic Waves by a Wedge of Point Scatterers'. Together they form a unique fingerprint.

Cite this