Title :
Finite difference expressions for arbitrarily positioned dielectric steps in waveguide structures
Author :
Helfert, Stefan F. ; Pregla, Reinhold
Author_Institution :
Allgemeine und Theor. Elektrotech., Fern Univ., Hagen, Germany
fDate :
10/1/1996 12:00:00 AM
Abstract :
The finite difference expressions for arbitrary positions of the dielectric steps in waveguide structures are derived and inserted into the beam propagation algorithm based on the method of lines (MoL). The accuracy of these expressions is tested by calculating the effective indexes of slab waveguides and comparing the results with analytic solutions. Tapered waveguides are analyzed as an application of this new approach. The propagation behavior of the field is presented and the modal power loss is compared with other methods
Keywords :
dielectric waveguides; finite difference methods; optical losses; optical waveguide theory; physics computing; arbitrarily positioned dielectric steps; beam propagation algorithm; effective indexes; finite difference expressions; method of lines; modal power loss; propagation behavior; slab waveguides; tapered waveguides; waveguide structures; Dielectrics; Finite difference methods; Optical losses; Optical propagation; Optical refraction; Optical waveguides; Partial differential equations; Permittivity; Propagation losses; Slabs;
Journal_Title :
Lightwave Technology, Journal of