The asymptotics of the wave field scattered by an impedance sector

M. Lyalinov, S. V. Polyanskaya
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Abstract

In this work we study the scattering of a plane incident wave by a semi-infinite impedance sector. We develop an approach that enables us to compute different components in the far-field asymptotics. The method is based on the Sommerfeld integral representation of the scattered wave field, on the careful study of singularities of the integrand and on the asymptotic evaluation of the integral by means of the saddle point technique. In this way, we describe the waves reflected from the sector, diffracted by its edges or scattered by the vertex as well as the surface waves.
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阻抗扇形散射波场的渐近性
本文研究了半无限阻抗扇区对平面入射波的散射。我们开发了一种方法,使我们能够计算远场渐近的不同分量。该方法基于散射波场的Sommerfeld积分表示,对被积函数的奇异性进行了细致的研究,并利用鞍点技术对积分进行了渐近求值。用这种方式,我们描述了从扇形反射的波,由其边缘衍射的波或由顶点散射的波以及表面波。
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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