The application of the finite element technique to arbitrarily shaped dielectric optical waveguides
Abstract
The finite element technique was applied to the solution of electromagnetic wave propagation in arbitrarily shaped inhomogeneous fiber optics and integrated optics. The technique is based on the variational expression of the wave propagation equations. Elementary waveguide matrices for each finite element were formulated from the variational expression, based on a linear field approximation within the element. A generalized algebraic eigenvalue problem was constructed by summing up the contributions from all finite elements. The solution of this eigenvalue problem was obtained by a direct-iterative eigensolution technique, using a reduced set of generalized coordinates. After confirming the validity of the finite element method, solutions for a variety of optical waveguide structures were obtained, including: triangular, elliptical, rectangular, single material guide, diffused, channel, embossed, and stripline cross-sections.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1977
- Bibcode:
- 1977PhDT........23H
- Keywords:
-
- Dielectrics;
- Electromagnetic Wave Transmission;
- Finite Element Method;
- Optical Waveguides;
- Wave Propagation;
- Electromagnetic Fields;
- Fiber Optics;
- Shapes;
- Optics