Engineering topological edge states in two dimensional magnetic photonic crystal

TL;DR

This paper introduces a perturbative method to engineer and design topological edge states in two-dimensional magnetic photonic crystals, enabling customizable topological properties through parameter adjustments.

Contribution

A simple, efficient, and designable approach to create topological edge states in 2D magnetic photonic crystals using perturbation theory and microstructure parameter tuning.

Findings

Method validated by numerical calculations on three examples.

Topological edge states can be engineered and varied.

The approach is efficient and allows for design customization.

Abstract

Based on a perturbative approach, we propose a simple and efficient method to engineer topological edge states in two dimensional magnetic photonic crystals. The topological edge states in the microstructures can be constructed and varied by altering the parameters of the microstructure according to the fieldenergy distributions of the Bloch states at the related Bloch wave vectors. The validity of the proposed method has been demonstrated by exact numerical calculations through three concrete examples. Our method makes the topological edge states 'designable'.