Fano resonances and band structure of two dimensional photonic structures

TL;DR

This paper investigates how Fano resonances influence the frequency spectrum and band structure of two-dimensional photonic crystals, demonstrating their role in band splitting and overlaps through electromagnetic transmission analysis.

Contribution

It reveals the connection between Fano resonances and band features in 2D photonic structures, supported by transmission calculations of dielectric cylinder arrays.

Findings

Fano resonances coincide with narrow frequency bands in 2D photonic crystals.

Band splitting and overlaps are associated with Fano resonances.

Fano resonances can be excited in linear dielectric cylinder arrays.

Abstract

We show that the frequency spectrum of two dimensional photonic crystals is strongly influenced by Fano resonances which can be excited already in the linear array of dielectric cylinders. To support this claim, we calculate the transmission of electromagnetic wave through linear array of dielectric cylinders and show that frequencies of observed Fano resonances coincides with position of narrow frequency bands found in the spectra of corresponding two-dimensional photonic crystals. Split of frequency band or overlap of two bands, observed in the band structure of photonic structures are also associated with Fano resonances.