Title :
Modeling of graded-index channel waveguides using nonuniform finite difference method
Author :
Kim, Chang Min ; Ramaswamy, Ramu V.
Author_Institution :
Dept. of Electr. Eng., Florida Univ., Gainseville, FL, USA
fDate :
10/1/1989 12:00:00 AM
Abstract :
A finite-difference method (FDM) with nonuniform discretization for the analysis of channel waveguides is presented. Application of the boundary conditions for either the quasi-TE or quasi-TM mode is illustrated. Flexible discretization of the grid structures minimizes memory size, resulting in much smaller computing time without sacrificing the accuracy of the solution. This nonuniform discretization FDM technique is used to model the well-guided small-mode-size Ti:LiNbO 3 waveguides. The model treats both finite and infinite source diffusion cases. Quasi-TM mode profiles and the corresponding eigenvalues are rigorously evaluated and the theoretical results agree very well with the experimental results
Keywords :
difference equations; gradient index optics; lithium compounds; optical waveguide theory; titanium; LiNbO3:Ti; boundary conditions; computing time; eigenvalues; finite source diffusion; flexible discretisation; graded-index channel waveguides; grid structures; infinite source diffusion; memory size; modelling; nonuniform discretization; nonuniform finite difference method; quasi TE mode; quasi-TM mode; well-guided small-mode-size Ti:LiNbO3 waveguides; Boundary conditions; Differential equations; Finite difference methods; Gallium arsenide; Grid computing; Quantum computing; Senior members; Strips; Transmission line matrix methods; Waveguide transitions;
Journal_Title :
Lightwave Technology, Journal of
