Asymptotics of near-cloaking

DOI10.1017/S0956792520000212zbMath1487.74069OpenAlexW3043288729MaRDI QIDQ5015427

Sleeman, Brian D., R. H. Tew, Hilary Ockendon, John R. Ockendon

Publication date: 8 December 2021

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792520000212

zbMATH Keywords

asymptotic solutionray theoryelastic wave scatteringlinear elastic materialperfect cloaking

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Wave scattering in solid mechanics (74J20)

Uses Software

• DLMF

Cites Work

• Invisibility cloaking via non-smooth transformation optics and ray tracing
• Nearly cloaking the elastic wave fields
• Elastic cloaking theory
• Thin-Layer Solutions of the Helmholtz and Related Equations
• Acoustic cloaking theory
• Cloaking via change of variables for the Helmholtz equation
• Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
• Acoustic cloaking transformations from attainable material properties
• Non-singular acoustic cloak derived by the ray tracing method with rotationally symmetric transformations
• Cloaking via change of variables in electric impedance tomography
• Inverse acoustic and electromagnetic scattering theory
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