Supermodes of Hexagonal Lattice Waveguide Arrays

TL;DR

This paper introduces a semi-analytical method for determining supermodes and Bloch factors in hexagonal lattice photonic crystal waveguide arrays, enabling efficient dispersion and propagation predictions for large systems.

Contribution

The paper develops a semi-analytical approach to analyze supermodes in hexagonal lattice waveguides, improving computational efficiency over traditional numerical methods.

Findings

Efficient calculation of supermodes and Bloch factors.

Accurate dispersion curve predictions for large systems.

Enhanced understanding of light propagation in complex photonic lattices.

Abstract

We present a semi-analytical formulation for calculating the supermodes and corresponding Bloch factors of light in hexagonal lattice photonic crystal waveguide arrays. We then use this formulation to easily calculate dispersion curves and predict propagation in systems too large to calculate using standard numerical methods.