Quasi-flat bands in waveguide arrays

A I Maimistov

doi:10.1088/1742-6596/613/1/012011

Abstract

Coupled electromagnetic waves propagating in a waveguide array are discussed. This waveguide array can be considered as a one dimensional photon crystal composed from the unit cell containing three different waveguides, namely, two positive refraction index waveguides and one waveguide with negative refraction index. Spectrum of the linear modes of electromagnetic waves in this device contains the quasi-flat band.

Highlights

In the last twenty – twenty-five years new materials for optics have been fabricated
It should be noted that flat band is formed if the photon crystal unit cell contains three different “atoms”
A coupler using waveguides fabricated from materials with a positive refractive index (PRI) preserves the direction of light propagation, and for this reason it is named a directional coupler

Summary

Introduction

In the last twenty – twenty-five years new materials for optics have been fabricated. The optical simulation of Majorana physics was considered in [2] via two one-dimensional photonic crystals. There are series of works devoted to photonic crystal waveguide analogy of the graphene [4, 5] and to the realization of Dirac point with double cones in optics [6,7,8].

Results

Conclusion