This paper is concerned with the elastic near cloaking for the Lamé system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, the ESC of arbitrary three-dimensional objects are designed and some of their properties are discussed using elements of the elastic layer potential theory. Then, near-cloaking structures, coined as ESC-vanishing-structures, are constructed for the elastic cloaking at a fixed frequency or a band of frequencies. These multi-layered structures are designed so that their first few significant ESC vanish ahead of transformation-elastodynamics. The invisibility effect is achieved as the arbitrary elastic object inside the cloak has near-zero scattering cross-section for a band of frequencies. The cloaking effect for the Lamé system is significantly enhanced by the proposed near-cloaking structures.

中文翻译：

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三维弹性散射系数及弹性近隐形增强

本文使用弹性散射系数 (ESC) 的概念来研究三维 Lame 系统的弹性近隐形。因此，设计了任意三维物体的 ESC，并使用弹性层势理论的元素讨论了它们的一些特性。然后，近隐形结构，被称为 ESC 消失结构，被构造用于固定频率或频带的弹性隐形。这些多层结构的设计使其前几个重要的 ESC 在转换弹性动力学之前消失。隐形效果的实现是因为斗篷内的任意弹性物体在一个频带内具有接近零的散射截面。