Title :
A new higher order finite-difference approximation scheme for the method of lines
Author :
Jamid, Hussain A. ; Akram, Muhammad Nadeem
Author_Institution :
Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
fDate :
3/1/2001 12:00:00 AM
Abstract :
A new 5-point and a 7-point nonuniform mesh finite-difference scheme is introduced to approximate the second-derivative operator. The scheme is applied using the method of lines. The necessary interface conditions for the TE and TM fields at an index discontinuity are appropriately included in the derivation. This scheme can model lossy dielectrics as well as metallic layers in a unified way. Numerical results are given for the fundamental TE and TM modes of a high-contrast waveguide and for a metal/dielectric single interface TM surface-plasmon mode showing excellent convergence behavior to the analytical results
Keywords :
approximation theory; finite difference methods; method of lines; optical waveguide theory; optical waveguides; surface plasmons; TE fields; TM fields; TM modes; convergence behavior; fundamental TE modes; high-contrast waveguide; higher order finite-difference approximation scheme; index discontinuity; interface conditions; lossy dielectrics; metal/dielectric single interface TM surface-plasmon mode; metallic layers; method of lines; nonuniform mesh finite-difference scheme; second-derivative operator; Convergence of numerical methods; Dielectric losses; Finite difference methods; Magnetic fields; Optical surface waves; Optical waveguides; Plasmons; Surface waves; Tellurium; Waveguide junctions;
Journal_Title :
Lightwave Technology, Journal of
