Graphene-based one-dimensional photonic crystal

TL;DR

This paper introduces a new one-dimensional photonic crystal made of alternating graphene and dielectric stripes, analyzing its band structure and defect modes using an analytical model, which could impact photonic device design.

Contribution

The study presents an analytical model for a novel 1D graphene-based photonic crystal, detailing its band structure and defect modes, advancing the understanding of graphene photonic structures.

Findings

Analytical frequency band structure derived as a function of filling factor and dielectric thickness.

Identification of localized electromagnetic modes due to defects in the structure.

Potential applications in tunable photonic devices.

Abstract

A novel type of one-dimensional (1D) photonic crystal formed by the array of periodically located stacks of alternating graphene and dielectric stripes embedded into a background dielectric medium is proposed. The wave equation for the electromagnetic wave propagating in such structure solved in the framework of the Kronig-Penney model. The frequency band structure of 1D graphene-based photonic crystal is obtained analytically as a function of the filling factor and the thickness of the dielectric between graphene stripes. The photonic frequency corresponding to the electromagnetic wave localized by the defect of photonic crystal formed by the extra dielectric placed on the place of the stack of alternating graphene and dielectric stripes is obtained.