Edge Catastrophes in Diffraction Problems


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Abstract

Abstract—The application of the wave theory of edge catastrophes to the asymptotic solution of diffraction problems on bodies with curvilinear edges is considered. As an example, the diffraction of a converging scalar wave on a curvilinear ideally conducting screen in a homogeneous medium is studied, leading to the formation of C4 and K4, 2 edge catastrophes.

About the authors

A. S. Kryukovsky

Russian New University

Author for correspondence.
Email: kryukovsky56@yandex.ru
Russian Federation, Moscow, 105005

D. S. Lukin

Russian New University

Email: kryukovsky56@yandex.ru
Russian Federation, Moscow, 105005

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