Three-Dimensional Elastic Scattering Coefficients and Enhancement of the Elastic Near Cloaking
Liu H. Tsui W.Y. Wahab A. Wang X.
January 2021Springer Science and Business Media B.V.
Journal of Elasticity
2021#143Issue 1111 - 146 pp.
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.
Elastic cloaking , Elastic scattering , Inverse scattering , Scattering coefficients
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Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, Kazakhstan
School of Astronautics, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China
Department of Mathematics
Department of Mathematics
School of Sciences and Humanities
School of Astronautics
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