Title :
An iterative finite difference beam propagation method for modeling second-order nonlinear effects in optical waveguides
Author :
Chou, Hsu-Feng ; Lin, Ching-Fuh ; Wang, Gin-Chung
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
9/1/1998 12:00:00 AM
Abstract :
An iterative finite difference beam propagation method based on the Crank-Nicholson scheme is presented to simulate continuous wave (CW) second-order nonlinear effects in optical waveguides with the depletion of the pump wave taken into account. This method is an extension of the linear finite difference beam propagation method and preserves the same order of accuracy. Comparisons with the previously published explicit finite difference beam propagation method and the rectangular approximation method are presented. Quasi-phase matched difference frequency generation in AlGaAs and quasi-phase-matched second harmonic generation in LiNbO3 are considered in the evaluation, showing that one iteration for the IFD-BPM is sufficient for the simulation with good accuracy and without increasing much computation time
Keywords :
approximation theory; finite difference methods; iterative methods; optical harmonic generation; optical waveguide theory; optical waveguides; AlGaAs; CW second-order nonlinear effects; Crank-Nicholson scheme; LiNbO3; accuracy; iterative finite difference beam propagation method; linear finite difference beam propagation method; optical waveguides; pump wave; quasi-phase matched difference frequency generation; quasi-phase-matched second harmonic generation; rectangular approximation method; second-order nonlinear effects; Approximation methods; Finite difference methods; Frequency; Iterative methods; Laser excitation; Nonlinear optics; Optical harmonic generation; Optical propagation; Optical pumping; Optical waveguides;
Journal_Title :
Lightwave Technology, Journal of
