Title :
A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations
Author :
Erteza, Ireena A. ; Goodman, Joseph W.
Author_Institution :
Sandia Nat. Labs., Albuquerque, NM, USA
fDate :
3/1/1995 12:00:00 AM
Abstract :
A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations is presented. The technique analyzes waveguides by finding a closed-form, approximate solution to the given problem. We begin with an assumed, closed-form field solution, with unknown parameters which can be chosen to best match the assumed field to the actual field solution using variational principles. The values of the unknown parameters of the assumed field are determined by solving a set of simultaneous equations, not by a search method. As a result, this analysis method is computationally fast. Another benefit is that this method gives best-fit, closed-form modal approximations
Keywords :
approximation theory; dielectric waveguides; integrated optics; optical waveguide theory; optical waveguides; rectangular waveguides; variational techniques; Hermite-Gaussian modal approximations; closed-form approximate solution; closed-form modal approximations; computationally fast; field solution; integrated optical waveguides; rectangular dielectric waveguides; scalar variational analysis; simultaneous equations; unknown parameters; variational principles; Dielectrics; Optical planar waveguides; Optical waveguide components; Optical waveguide theory; Optical waveguides; Partial differential equations; Planar waveguides; Propagation constant; Rectangular waveguides; Search methods;
Journal_Title :
Lightwave Technology, Journal of
