Numerical modeling of second harmonic generation in opticalwaveguides using the finite element method

A numerical study of second harmonic generation (SHG) in optical waveguides is presented using the finite element method (FEM) and the Crank-Nicholson split-step procedure. Results are given for a Cherenkov radiation scheme in both planar and channel waveguides. Also presented are results obtained on frequency doubling for guided modes in both planar and channel waveguides, using the quasi-phase-matching scheme     

Finite-element analysis of second-harmonic generation in AlGaAswaveguides

A rigorous and efficient finite-element method based beam propagation method is used to model second-harmonic generation (SHG) in semiconductor waveguides. The effect of loss on the efficiency of SHG is analyzed and it is shown that, under certain conditions, GaAlAs-based devices with a lower nonlinear susceptibility tensor could be more efficient than GaAs-based devices with a higher nonlinear susceptibility tensor. Numerical results are also presented, to show the effect of domain fabrication error, in the case of quasi-phase-matched devices, on the efficiency of SHG     

Finite element analysis of diffused anisotropic optical waveguides

Results are presented for anisotropic waveguides, with an arbitrary permittivity tensor, being diffused in both the transverse directions and by using the finite element method with the vector H-field formulation for the analysis. The importance of considering the waveguide core dimensions to be greater than the diffusion depth in both the transverse directions, the use of extrapolation techniques and of a symmetry plane for anisotropic waveguides are also discussed