On regularized full- and partial-cloaks in acoustic scattering

DOI10.1080/03605302.2017.1286673zbMath1375.35518arXiv1502.01174OpenAlexW1529860930MaRDI QIDQ4588987

Gunther Uhlmann, Hongyu Liu, You-Jun Deng

Publication date: 6 November 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01174

zbMATH Keywords

asymptotic estimates, invisibility cloaking, partial and full cloaks, regularization, scattering, transformation optics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (12)

Design and finite element simulation of information-open cloaking devices ⋮ Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology ⋮ Cloaking for a quasi-linear elliptic partial differential equation ⋮ Plasmon resonances of nanorods in transverse electromagnetic scattering ⋮ Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime ⋮ Shape reconstructions by using plasmon resonances with enhanced sensitivity ⋮ A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding by Electro-Osmosis ⋮ Mathematical analysis of plasmon resonances for curved nanorods ⋮ Full and partial cloaking in electromagnetic scattering ⋮ Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking ⋮ Infinite element in meshless approaches ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems

This page was built for publication: On regularized full- and partial-cloaks in acoustic scattering