论文标题
三维弹性散射系数和弹性附近的弹性增强
Three-dimensional Elastic Scattering Coefficients and Enhancement of the Elastic Near Cloaking
论文作者
论文摘要
本文涉及使用弹性散射系数的概念（ESC）的三维中的Lamé系统的弹性。因此，设计了任意三维对象的ESC，并使用弹性层潜在理论的元素讨论了它们的某些属性。然后，构造的近片状结构是作为固定频率或频率带的弹性覆盖构建的。这些多层结构的设计是使它们的前几个重要ESC在转化射击动力学之前消失。当斗篷内的任意弹性对象在频率带中具有接近零的散射横截面。拟议的近片结构可显着增强Lamé系统的掩盖效果。
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 a 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.
