Diffraction by a Dirichlet right angle on a discrete planar lattice-Reference-Cited by-同舟云学术

Diffraction by a Dirichlet right angle on a discrete planar lattice

Published:2022-02-23 Issue:2 Volume:80 Page:277-315
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Shanin A.,Korolkov A.

Abstract

A problem of scattering by a Dirichlet right angle on a discrete square lattice is studied. The waves are governed by a discrete Helmholtz equation. The solution is looked for in the form of the Sommerfeld integral. The Sommerfeld transformant of the field is built as an algebraic function. The paper is a continuation of the work by A. V. Shanin and A. I. Korolkov, Sommerfeld-type integrals for discrete diffraction problems, Wave Motion 97 (2020).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

https://www.ams.org/qam/2022-80-02/S0033-569X-2022-01612-8/S0033-569X-2022-01612-8.pdf

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