A new iterative method for analysing nonlinear photonic-crystal structures

摘要

The article presents an efficient iterative method for analysing non-linear photonic crystals. The new approach is used for analysing a frequency converter constructed with a 2D pillar-type photonic crystal waveguide structure. The considered converter uses the non-linear properties and the compound waveguide structure. The analysis is based on the iterative resolution of two relationships between incident and reflected volume-waves. The reflection operator is expressed using Hankel functions. Numerical results have been obtained with moderate CPU time and memory requirement. Simulations obtained are in agreement with recent published results.