Reply to the Comment on Perfect imaging with positive refraction in three dimensions

TL;DR

This paper clarifies that perfect imaging in Maxwell's fish eye lens is not due to a drain at the image, but a drain is necessary for achieving subwavelength resolution, based on exact solutions of Maxwell's equations.

Contribution

It provides an exact time-dependent analysis demonstrating the true role of drains in perfect imaging with Maxwell's fish eye.

Findings

Perfect imaging is not caused by a drain at the image.

A drain is necessary for subwavelength resolution.

Exact solutions clarify the imaging mechanism.

Abstract

Exact time-dependent solutions of Maxwell's equations in Maxwell's fish eye show that perfect imaging is not an artifact of a drain at the image, although a drain is required for subwavelength resolution.