Title :
A frequency-domain finite element method for modeling of nonlinear optical waveguide discontinuities
Author :
Fujisawa, Takeshi ; Koshiba, Masanori
Author_Institution :
Graduate Sch. of Eng., Hokkaido Univ., Sapporo, Japan
Abstract :
A simple algorithm based on a finite element method is newly formulated in the frequency domain for the analysis of nonlinear optical waveguide discontinuities. The nonlinear field solutions are simply obtained by iterating the calculation of linear problem. To show the validity and usefulness of the present approach, numerical examples for self-focusing guiding phenomena and nonlinear gratings are presented.
Keywords :
finite element analysis; frequency-domain analysis; iterative methods; optical Kerr effect; optical planar waveguides; optical waveguide theory; photonic crystals; refractive index; convergence behavior; frequency-domain finite element method; iterative algorithm; nonlinear field solutions; nonlinear gratings; nonlinear optical waveguide discontinuities; optical Kerr effect; perfectly matched layer; refractive index; self-focusing guiding phenomena; transverse field distributions; two-dimensional waveguide; waveguide facet; Finite difference methods; Finite element methods; Frequency domain analysis; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Optical signal processing; Optical waveguides; Time domain analysis; Waveguide discontinuities;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2003.818924
