Perfect drain for the Maxwell Fish Eye lens

TL;DR

This paper introduces the concept of a perfect drain for the Maxwell Fish Eye lens, modeled as a dissipative region with size-dependent permittivity, enabling better simulation and experimental realization of perfect imaging.

Contribution

It provides a new interpretation of the perfect drain as a dissipative, size-dependent region, bridging theory with practical modeling and experiments.

Findings

Perfect drain modeled as a dissipative region with zero diameter

Permittivity depends on drain size and frequency

Facilitates simulation and experimental verification

Abstract

Perfect imaging for electromagnetic waves using the Maxwell Fish Eye (MFE) requires a new concept: the perfect drain. From the mathematical point of view, a perfect point drain is just like an ideal point source, except that it drains power from the electromagnetic field instead of generating it. We show here that the perfect drain for the MFE can be seen as a dissipative region the diameter of which tends to zero. The complex permittivity $\varepsilon$ of this region cannot take arbitrary values, however, since it depends on the size of the drain as well as on the frequency. This interpretation of the perfect drain connects well with central concepts of electromagnetic theory. This opens up both the modeling in computer simulations and the experimental verification of the perfect drain.