Superlensing using complementary media and reflecting complementary media for electromagnetic waves-Reference-Cited by-同舟云学术

Superlensing using complementary media and reflecting complementary media for electromagnetic waves

Published:2018-11-01 Issue:4 Volume:7 Page:449-467
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:
Short-container-title:

Author:

Nguyen Hoai-Minh¹

Affiliation:

1. Analysis and Applied Mathematics, Ecole Polytechnique Federale de Lausanne, Station 8, CH-1015Lausanne, Switzerland

Abstract

AbstractIn this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness, existence, and stability for the Maxwell equations with low regularity data.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/7/4/article-p449.xml

Reference74 articles.

1. Cloaking via anomalous localized resonance. A connection between the localized resonance and the blow up of the power for doubly complementary media;C. R. Math. Acad. Sci. Paris,2015

2. A variational perspective on cloaking by anomalous localized resonance;Comm. Math. Phys.,2014

3. Problèmes mixtes pour le système de Maxwell;Ann. Fac. Sci. Toulouse Math. (5),1982

4. On traces for 𝐇⁢(𝐜𝐮𝐫𝐥,Ω){\mathbf{H}}({\mathbf{curl}},\Omega) in Lipschitz domains;J. Math. Anal. Appl.,2002

5. The electrodynamics of substances with simultaneously negative values of ϵ and μ;Usp. Fiz. Nauk,1964

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions;SIAM Journal on Mathematical Analysis;2023-08-22

2. Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data;SIAM Journal on Mathematical Analysis;2022-04

3. The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations;Research in the Mathematical Sciences;2021-12-25

4. A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations;Journal of Functional Analysis;2021-12

5. Acoustic anti-parity-time symmetric structure enabling equivalent lasing and coherent perfect absorption;Physical Review B;2021-10-27