Superlensing using complementary media and reflecting complementary media for electromagnetic waves

TL;DR

This paper proves the feasibility of superlensing for arbitrary objects using complementary media and explores reflecting complementary media for electromagnetic waves, advancing the mathematical understanding of Maxwell equations with low regularity data.

Contribution

It introduces a proof of superlensing with complementary media and analyzes reflecting complementary media for electromagnetic waves, including new results on Maxwell equations.

Findings

Proof of superlensing for arbitrary objects

Analysis of reflecting complementary media

New results on Maxwell equations with low regularity data

Abstract

In 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.