Diffraction by a Dirichlet right angle on a discrete planar lattice

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2020-09-07 DOI:10.1090/qam/1612

A. Shanin, A. I. Korolkov

引用次数: 3

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).

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离散平面晶格上的狄利克雷直角衍射

研究了离散正方形格上Dirichlet直角的散射问题。波浪由离散的亥姆霍兹方程控制。解是以索末菲积分的形式寻找的。该域的Sommerfeld变换器被构造为代数函数。本文是a.V.Shanin和a.I.Korolkov的工作的延续，离散衍射问题的Sommerfeld型积分，波动97（2020）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.