Title :
An analysis of electromagnetic waves by a complementary finite element method
Author :
Igarashi, Hajime ; Honma, Toshihisa
Author_Institution :
Dept. of Electr. Eng., Hokkaido Univ., Sapporo, Japan
fDate :
9/1/1994 12:00:00 AM
Abstract :
This paper describes an analysis of electromagnetic waves in a waveguide using the finite element method based on the complementary variational principle. The vector Helmholtz equation is represented in dual forms, in which the solenoidal and irrotational transverse fields are chosen to be unknowns, and they are approximated by the edge and facet elements, respectively. The dual representations are then shown to provide the lower bounds of the eigenfrequencies of a waveguide, with the aid of the complementary variational principle
Keywords :
duality (mathematics); eigenvalues and eigenfunctions; electromagnetic wave propagation; finite element analysis; variational techniques; waveguide theory; waveguides; complementary variational principle; dual forms; edge elements; eigenfrequencies; electromagnetic waves; facet elements; finite element method; irrotational transverse fields; solenoidal transverse fields; vector Helmholtz equation; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Estimation error; Finite element methods; Maxwell equations; Tellurium; Upper bound;
Journal_Title :
Magnetics, IEEE Transactions on
