This paper describes how asymptotic analysis can be used to gain new insights into the theory of cloaking of spherical and cylindrical targets within the context of acoustic waves in a class of linear elastic materials. In certain cases, these configurations allow solutions to be written down in terms of eigenfunction expansions from which high-frequency asymptotics can be extracted systematically. These asymptotics are compared with the predictions of ray theory and are used to describe the scattering that occurs when perfect cloaking models are regularised.

中文翻译：

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近隐形的渐近线

本文描述了如何使用渐近分析来获得对一类线性弹性材料中的声波背景下球形和圆柱形目标隐身理论的新见解。在某些情况下，这些配置允许根据可以系统地提取高频渐近线的特征函数展开来写下解决方案。这些渐近线与射线理论的预测进行了比较，并用于描述完美隐形模型正则化时发生的散射。