Improvement of characterization accuracy of the nonlinear photonic crystals using finite elements-iterative method

TL;DR

This paper enhances the accuracy of characterizing nonlinear photonic crystals by employing a finite element-iterative approach, revealing the significant impact of nonlinear elements and waveguide bends on spectral properties.

Contribution

It introduces a finite element-iterative method for analyzing nonlinear photonic crystals, improving spectral characterization accuracy over previous discrete equation methods.

Findings

Nonlinear elements significantly influence spectral characteristics.

Sharp waveguide bends affect transmission properties.

Neglecting field nonuniformity leads to overestimated transmissivity.

Abstract

We investigate nonlinear one- and two-dimensional photonic crystals by applying a finite element-iterative method.Numerical results show the essential influence of nonlinear elements embedded into a quarter-wave stack and the sharp photonic crystal waveguide bend on the spectral characteristics of these structures. We compare our results with those obtained in [21] from the discrete equation method for the case of a sharp waveguide bend. The comparison shows that neglecting the nonuniform field distribution inside the embedded nonlinear elements leads to overestimation of the waveguide bend transmissivity.