Title :
Impedance boundary method of moments with extended boundary conditions
Author :
Remley, K.A. ; Weisshaar, A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
fDate :
12/1/1995 12:00:00 AM
Abstract :
An improved impedance boundary method of moments is proposed to accurately and efficiently determine the propagation characteristics of multilayer planar optical waveguides whose refractive index profiles contain large step index changes or a graded-index region combined with step index changes. Extended impedance boundary conditions are used in the impedance boundary method of moments to replace regions in the waveguide structure which have refractive index discontinuities. Two methods for determining the extended boundary conditions include the standard transfer matrix method and a procedure utilizing a cascaded transmission line representation with successive calculation of input impedances. Simulation results show significantly improved convergence rates in the determination of propagation constants
Keywords :
boundary-value problems; electric impedance; gradient index optics; matrix algebra; method of moments; optical films; optical planar waveguides; optical waveguide theory; refractive index; transmission line theory; convergence rates; extended boundary conditions; graded-index region; impedance boundary method of moments; input impedances; large step index changes; multilayer planar optical waveguides; propagation characteristics; propagation constants; refractive index discontinuities; refractive index profiles; standard transfer matrix method; waveguide structure; Boundary conditions; Impedance; Moment methods; Nonhomogeneous media; Optical propagation; Optical refraction; Optical variables control; Optical waveguides; Refractive index; Transmission line matrix methods;
Journal_Title :
Lightwave Technology, Journal of