Glide-Symmetric Metallic Structures with Elliptical Holes for Lens Compression

TL;DR

This paper introduces a mode-matching technique for analyzing wave propagation in glide-symmetric metallic structures with elliptical holes, enabling the design of a wideband Maxwell fish-eye lens with significant size compression.

Contribution

It develops a computationally efficient mode-matching method leveraging glide symmetry and demonstrates its application in designing a wideband, size-compressed lens using transformation optics.

Findings

The method reduces computational cost for analyzing glide-symmetric structures.

Elliptical holes induce anisotropic refractive index tunable by geometry.

A 33.33% size reduction Maxwell fish-eye lens is designed for 2.5-10 GHz range.

Abstract

In this paper, we study the wave propagation in a metallic parallel-plate structure with glide-symmetric elliptical holes. To perform this study, we derived a mode-matching technique based on the generalized Floquet theorem for glide-symmetric structures. This mode-matching technique benefits from a lower computational cost since it takes advantage of the glide symmetry in the structure. It also provides physical insight on the specific properties of Floquet modes propagating in these specific structures. With our analysis, we demonstrate that glide-symmetric structures with periodic elliptical holes exhibit an anisotropic refractive index over a wide range of frequencies. The equivalent refractive index can be controlled by tuning the dimensions of the holes. Finally, by combining the anisotropy related to the elliptical holes and transformation optics, a Maxwell fish-eye lens with a 33.33% size compression is designed. This lens operates in a wideband frequency range from 2.5 GHz to 10 GHz.