Perturbative approach to diatomic lattices

TL;DR

This paper introduces a perturbative method using a small rotation approach to analyze electromagnetic wave propagation in diatomic photonic lattices, providing well-behaved solutions that model quasiparticle dynamics.

Contribution

It presents a novel perturbative technique for studying wave propagation in diatomic lattices, enhancing analytical understanding of such systems.

Findings

Successful derivation of perturbed solutions for electromagnetic amplitudes

Demonstration of the method's applicability to infinite chains

Insights into quasiparticle propagation in photonic lattices

Abstract

By using a small rotation approach, we show that it is possible to obtain well behaved perturbed solutions for the amplitude of the electromagnetic field propagating in a photonic waveguide array. This array mimics the propagation of a quasiparticle among the sites of an infinite one-dimensional chain.