Journal article
Detailed comparison of two approximate methods for the solution of the scalar wave equation for a rectangular optical waveguide
Two approximate methods for the determination of the fundamental mode of an optical waveguide with rectangular core cross section and step refractive-index profiles are presented and analyzed thoroughly. Both methods are based on Galerkin's method. The first method uses Hermite-Gauss basis functions and the second uses the guided and nonguided slab waveguide solutions as basis functions.
The results are compared with results from an accurate circular harmonic analysis. Both methods provide values of the normalized propagation constant with errors less than 0.1% for practical rectangular single-mode waveguides. The slab waveguide method is the fastest, and even when only one slab waveguide mode is used the propagation constant for the fundamental mode can be calculated with an error of less than 1%.
The slab waveguide method also gives very accurate results for the propagation constant for higher order modes.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 1993 |
| Pages: | 429-433 |
| ISSN: | 15582213 and 07338724 |
| Types: | Journal article |
| DOI: | 10.1109/50.219576 |
| ORCIDs: | Rottwitt, Karsten |
Galerkin's method Harmonic analysis Hermite-Gauss basis functions Moment methods Optical refraction Optical waveguides Partial differential equations Propagation constant Rectangular waveguides Slabs fundamental mode guided slab waveguide solutions nonguided slab waveguide solutions optical waveguide theory propagation constant rectangular core cross section rectangular optical waveguide rectangular waveguides scalar wave equation step refractive-index profiles wave equations
