A modified transmission eigenvalue problem for scattering by a partially coated crack
A modified transmission eigenvalue problem for scattering by a partially coated crack
复制标题
部分涂层裂纹散射的修正传输特征值问题
作者：
S. Cogar
我们考虑检测部分涂层裂纹的表面阻抗变化，这是我们从一个改进的内部传输特征值问题引起的目标信号的位移中推断出来的。我们在一般情况下研究了这个问题，在这种情况下，散射介质的性质用有界线性算符T来编码，我们给出了T的充分条件，表明这个问题的特征值具有理想的性质。最后，我们将部分涂层裂纹的散射纳入这一一般框架，并通过一系列数值算例研究了相关特征值对表面阻抗变化的敏感性。
We consider the detection of changes in the surface impedance of a partially coated crack, which we infer from the shift in a target signature arising from a modified interior transmission eigenvalue problem. We study this problem in a general setting in which the properties of the scattering medium are encoded in a bounded linear operator T, and we provide sufficient conditions for T that imply desirable properties of the eigenvalues of this problem. We conclude by placing scattering by a partially coated crack into this general framework and investigating the sensitivity of the associated eigenvalues to changes in the surface impedance with a series of numerical examples.