Title :
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
fDate :
3/1/1994 12:00:00 AM
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 Ex 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; Ex polarizations; Ey 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;
Journal_Title :
Lightwave Technology, Journal of
