Open AccessComputational design of one-dimensional nonlinear photonic crystals with material dispersion for efficient second-harmonic generation
Author(s) -
Sang-Bum Kim,
Kihong Kim,
Fabıan Rotermund,
H. Lim
Publication year - 2009
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.17.019075
Subject(s) - second harmonic generation , photonic crystal , optics , transmittance , dispersion (optics) , nonlinear system , refractive index , quadratic equation , nonlinear optics , nonlinear photonic crystal , materials science , high harmonic generation , physics , mathematics , quantum mechanics , geometry , laser
A computational study of the second-harmonic generation in one-dimensional photonic crystals made of GaAs and AlAs with quadratic optical nonlinearity and material dispersion is presented. The computational approach uses a shooting method to solve nonlinear wave equations for coupled fundamental and second-harmonic fields and the invariant imbedding method to obtain the linear transmittance and group index spectra. The photonic crystal is built with an elementary cell consisting of four sublayers whose thicknesses are systematically varied. Doubly-resonant second harmonic generation with high conversion efficiency is achieved by choosing the geometrical parameters of the elementary cell optimally and controlling the band structure.