Band structure of a two dimensional metallic photonic crystal and the experimental observation of negative refraction in the microwave region

TL;DR

This paper uses finite difference methods to compute the photonic band structure of a 2D metallic photonic crystal and experimentally confirms negative refraction in the microwave region.

Contribution

It introduces a finite difference approach for calculating the photonic band diagram and validates it through experiments on a 2D metallic photonic crystal.

Findings

Confirmed the photonic band gap diagram experimentally.

Observed negative refraction in the microwave region.

Validated computational predictions with experimental data.

Abstract

In this paper we describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite differences in order to write a computational code. We present experiments that confirm the validity of the calculations of the photonic band diagram as well as the refraction indix of such structure. All calculations were made for two dimensional metallic photonic crystal.