Title :
A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling
Author :
Van, Vien ; Chaudhuri, Sujeet K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fDate :
5/1/1999 12:00:00 AM
Abstract :
A hybrid implicit-explicit finite-difference time-domain (FDTD) method for solving the wave equation in nonlinear optical waveguiding structures is proposed. The new scheme combines the computational simplicity of the explicit scheme in linear medium regions with the superior stability property of the partially implicit scheme in regions of nonlinear materials, thus eliminating potential problems of instability associated with nonlinearity. Simulation results for Kerr-type nonlinear slab waveguides and corrugated waveguides are presented and compared with those obtained using the conventional noniterative FDTD scheme
Keywords :
finite difference time-domain analysis; nonlinear optics; optical Kerr effect; optical waveguide theory; Kerr-type nonlinear slab waveguides; computational simplicity; corrugated waveguides; hybrid implicit-explicit FDTD scheme; linear medium regions; nonlinear materials; nonlinear optical waveguide modeling; nonlinear optical waveguiding structures; partially implicit scheme; superior stability property; wave equation; Finite difference methods; Maxwell equations; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Optical signal processing; Optical waveguides; Permittivity; Stability; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
