Title :
Increase of the order of approximation and improvement of the interface conditions for the method of lines
Author :
Kornatz, Arnd ; Pregla, Reinhold
Author_Institution :
Allgemeine & Theoretische Elektrotech., Fern Univ. Hagen, Germany
fDate :
2/1/1993 12:00:00 AM
Abstract :
A formalism for improving the convergence of the method of lines is presented. This formalism was developed for analyzing waveguide structures used in integrated optics and reduces the discretization error to O(h4). The interface conditions between different dielectrics are taken into account. Excellent convergence is demonstrated for the slab waveguide
Keywords :
approximation theory; integrated optics; optical waveguide theory; approximation order; dielectrics; discretization error; integrated optics; interface conditions; method of lines; slab waveguide; waveguide structures; Convergence of numerical methods; Dielectric losses; Equations; Finite difference methods; Integrated optics; Optical waveguides; Permittivity; Senior members; Slabs; Taylor series;
Journal_Title :
Lightwave Technology, Journal of
