Title :
Comparison of a few transparent boundary conditions for finite-difference optical mode-solvers
Author :
Vassallo, Charles ; Van der Keur, J. Michiel
Author_Institution :
CNET, Lannion, France
fDate :
2/1/1997 12:00:00 AM
Abstract :
Various transparent boundary conditions are investigated for finite difference mode solvers, beyond the classical condition of a uniform exponential decrease for the field. A simple but efficient improvement is proposed with no extra numerical cost. High-order transparent boundary conditions (TBCs) also exist, that lead to even better results but at the cost of more numerical difficulties. Results are given within both the method of lines (MoL) and a two-dimensional (2-D) finite difference technique
Keywords :
Helmholtz equations; boundary-value problems; finite difference methods; optical planar waveguides; optical waveguide theory; transparency; 2D finite difference technique; classical condition; finite-difference optical mode-solvers; high-order transparent boundary conditions; method of lines; numerical cost; numerical difficulties; optical waveguide theory; transparent boundary conditions; uniform exponential decrease; Boundary conditions; Costs; Finite difference methods; Optical planar waveguides; Optical refraction; Optical surface waves; Optical variables control; Optical waveguides; Planar waveguides; Two dimensional displays;
Journal_Title :
Lightwave Technology, Journal of
