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.

[IEEE ]

Explicit finite-difference vector beam propagation method based on the iterated Crank-Nicolson scheme

Traianos V. Yioultsis, Giannis D. Ziogos, and Emmanouil E. Kriezis
J. Opt. Soc. Am. A 26(10) 2183-2191 (2009)

A modeling of dispersive tensorial second-order nonlinear effects for the finite-difference time-domain method

B. N. Carnio and A. Y. Elezzabi
Opt. Express 27(16) 23432-23445 (2019)

Numerical simulation of nonlinear second harmonic wave generation by the finite difference frequency domain method

Tamas Szarvas and Zsolt Kis
J. Opt. Soc. Am. B 35(4) 731-740 (2018)

Finite-difference beam-propagation method for anisotropic waveguides with torsional birefringence

Xiuquan Ma, Shicheng Zhu, Li Li, Jinyan Li, Xinyu Shao, and Almants Galvanauskas
Opt. Express 26(4) 3995-4003 (2018)

Efficient topology optimization of optical waveguide devices utilizing semi-vectorial finite-difference beam propagation method

Akito Iguchi, Yasuhide Tsuji, Takashi Yasui, and Koichi Hirayama
Opt. Express 25(23) 28210-28222 (2017)