A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguiding problems

Author

Koshiba, Masanori ; Maruyama, Shinji ; Hirayama, Koichi

Author_Institution

Dept. of Electron. Eng., Hokkaido Univ., Sapporo, Japan

Volume

12

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

495

Lastpage

502

Abstract

A vector finite element method with the high-order mixed-interpolation-type triangular elements is described for the analysis of optical waveguiding problems. It is a combination of linear edge elements for transverse components of the electric or magnetic field and quadratic nodal elements for the axial one. The use of mixed-interpolation-type elements provides a direct solution for propagation constants and avoids spurious solutions. This approach can yield more accurate results compared with the conventional approach using the lowest order mixed-interpolation-type elements, namely, constant edge elements and linear nodal elements. The accuracy of this approach is investigated by calculating the propagation characteristics of optical rib waveguides. Results obtained for both E^x and E ^y polarizations are validated using benchmark results produced by established methods

Keywords

electromagnetic field theory; electromagnetic wave polarisation; finite element analysis; optical constants; optical waveguides; vectors; E^x polarizations; E^y polarizations; axial field; electric field; high-order mixed-interpolation-type triangular elements; linear edge elements; magnetic field; optical rib waveguides; optical waveguiding problems; propagation characteristics; propagation constants; quadratic nodal elements; transverse components; vector finite element method; Finite element methods; Lagrangian functions; Magnetic analysis; Magnetic fields; Optical polarization; Optical propagation; Optical waveguides; Propagation constant; Ultrafast optics; Vectors;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.285332

Filename

285332