Infinite Maxwell fisheye as a complement for an imaging device

TL;DR

This paper introduces a novel imaging medium based on an isotropic, heterogeneous Maxwell fisheye profile, utilizing conformal mapping to preserve high-resolution imaging capabilities similar to traditional Maxwell fisheye lenses.

Contribution

It presents a new conformally-mapped Maxwell fisheye profile that maintains imaging resolution, expanding the design possibilities for high-performance optical devices.

Findings

Imaging resolution comparable to traditional Maxwell fisheye lenses

Successful application of conformal mapping to create new optical profiles

Potential for improved design flexibility in imaging devices

Abstract

\noindent This manuscript proposes a new imaging medium via isotropic refractive index of heterogeneous medium. We exploit conformal-map to transfers the full Maxwell fisheye into a mapped profile within a unit circle. The imaging resolution of this new profile can be maintained as good as the mirrored Maxwell fisheye profile or its conformally-mapped counterpart in previous literature.