An analytical study of mismatched complementary media

TL;DR

This paper develops an analytical framework using multiple scattering theory to analyze mismatched complementary media interacting with obstacles, revealing cancellation mechanisms and potential applications beyond specific frequencies.

Contribution

It introduces a new analytical approach for mismatched CM scenarios and explores the cancellation mechanism, extending understanding to various practical applications.

Findings

Cancellation effects depend on specific conditions.

Framework applicable across different frequencies.

Potential applications in cloaking, antennas, and wireless power transfer.

Abstract

Complementary media (CM) interacting with arbitrarily situated obstacles are usually less discussed. In this paper, an analytical framework based on multiple scattering theory is established for analyzing such a mismatched case. As examples, CM-based devices, i.e., a superlens and superscatterer, are discussed. From an analysis, the cancellation mechanism of the mismatched CM is studied. In addition, numerical results are provided for illustration. Moreover, further study shows that such cancellation effects might rely on specific conditions. Actually, the conclusions are not restricted to any specific frequencies; they could be extended to many other areas including applications to active cloaking, antennas, and wireless power transfer.