This work is a natural continuation of our recent study devoted to 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. Discussion of the far-field in the so-called singular directions (or in the transition zones) is also addressed.

中文翻译：

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具有阻抗边界条件的半无限角度扇形的声散射，II：远场渐近线

这项工作是我们最近的研究的自然延续，该研究致力于通过半无限阻抗扇区来散射平面入射波。我们开发了一种方法，使我们能够计算远场渐近线中的不同分量。该方法基于散射波场的Sommerfeld积分表示，对被积数奇异性的仔细研究以及基于鞍点技术对积分的渐近评估。通过这种方式，我们描述了从扇形反射的，由其边缘衍射或由顶点散射的波，以及表面波。还讨论了在所谓的奇异方向上（或在过渡区域内）的远场讨论。