Field renormalization in Photonic Crystal waveguides

TL;DR

This paper introduces a renormalization technique for the nonlinear Schrödinger Equation to accurately model the large nonlinearity variations in nanostructured photonic crystal waveguides, revealing new nonlinear phenomena.

Contribution

It presents a novel renormalization approach that incorporates nonlinearity variations in photonic crystal waveguides, enhancing modeling accuracy for nanostructured optical systems.

Findings

Effective modeling of large nonlinearity variations

Unveiling potential for new nonlinear propagation phenomena

Simplified and efficient incorporation of geometrical effects

Abstract

A novel strategy is introduced in order to include variations of the nonlinearity into the nonlinear schrodinger Equation. This technique, which relies on renormalization, is in particular well adapted to nanostructured optical systems where the nonlinearity exhibits large variations up to two orders of magnitude larger than in bulk material. We show that it takes into account in a simple and efficient way the specificity of the nonlinearity in nanostructures that is determined by geometrical parameters like the effective mode area and the group index. The renormalization of the nonlinear schrodinger Equation is the occasion for physics oriented considerations and unveils the potential of Photonic Crystal waveguides for the study of new nonlinear propagation phenomena.