This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach also applies to the compressional (resp. shear) part of the far-field pattern excited by a single compressional (resp. shear) plane wave. The one-wave factorization is based on the scattering data for a priori given testing scatterers. It can be regarded as a domain-defined sampling method and does not require forward solvers. We derive the spectral system of the far-field operator for rigid disks and show that, using testing disks, the one-wave factorization method can be justified independently of the classical factorization method.
翻译:本文涉及单一远地点模式的因子化方法,以在线性弹性下回收任意的convex多边形散射器/源。该方法也适用于由单压缩波(resp.shill)平面波刺激的远地点模式的压缩(再造剪)部分。一波因子化方法基于先验试验散射器的散射数据。它可以被视为一个域定义的取样方法,不需要前方解答器。我们从远地点操作器的光谱系统中获取硬盘磁盘,并表明使用测试盘,单波因子化方法可以独立于传统的因子化方法。