Dispersion Characteristics of a Glide-Symmetric Square Patch Metamaterial with Giant Anisotropy

TL;DR

This study analyzes the dispersion properties of a glide-symmetric square patch metamaterial with high anisotropy, providing theoretical formulas and numerical validation to predict electromagnetic behavior across frequencies.

Contribution

The paper introduces theoretical formulas for the electromagnetic tensors of a uniaxial effective medium and validates them with simulations, aiding metamaterial design.

Findings

Good agreement between theory and simulations at low frequencies

Effective prediction of electromagnetic response across frequencies

Facilitates design of anisotropic metamaterials for various applications

Abstract

This paper investigates the dispersion characteristics of a highly anisotropic metamaterial comprised of metal square patches arranged in a glide symmetry pattern and submerged in vacuum. Theoretical formulas are proposed to describe the electromagnetic tensors of a corresponding uniaxial effective medium with dielectric and magnetic responses. In addition, this work employs theoretical analysis and numerical simulations to examine the interaction between the metamaterial and electromagnetic waves across a broad spectral range. Band diagrams and isofrequency contours show good agreement between theoretical and numerical results for low frequencies and certain directions of propagation at higher frequencies. The ease of designing the metamaterial structure for various applications is facilitated by the derived theoretical formulas, which enable accurate prediction of the electromagnetic response across a wide range of frequencies based on geometric parameters.