Extend the explanation of transformation optics in metamaterial-modified wireless power transfer system

TL;DR

This paper extends the explanation of transformation optics to metamaterial-modified wireless power transfer systems using a systematic scattering theory approach, establishing an equivalent model validated by numerical simulations.

Contribution

It provides a rigorous mathematical demonstration that transformation optics can be extended to metamaterial-modified systems and introduces an equivalent model applicable even without complementary media.

Findings

The equivalent model remains valid beyond the conditions of complementary media.

Numerical simulations confirm the theoretical results.

The methodology applies across a broad wavelength range.

Abstract

Based on rigorous scattering theory we establish a systematic methodology for research of metamaterial-modified current-carrying conductors, from which we mathematically demonstrate the explanation of transformation optics could be extended in metamaterial-modified wireless power transfer system, and based on that we could establish a equivalent model. More important, our demonstration reveals that the equivalent model will still be applicable even when TO could not give a direct explanation, as the requirements of complementary media is not satisfied. And numerical results from our methodology as well as COMSOL verified our findings. The demonstration is not under specific frequency, the conclusion could be extended to a broad range of wavelength, and expected to be applicable for active cloak etc.