Three-dimensional finite-element method with edge elements for electromagnetic waveguide discontinuities

When three-dimensional electromagnetic problems are solved by the finite-element method based on a functional with three components of electric or magnetic field, spurious solutions appear if the traditional tetrahedral elements are used. It is shown in the present work that the finite-element method using edge elements succeeds in suppressing spurious solutions and that it succeeds in analyzing three-dimensional electromagnetic waveguide problems in the case of metal wedges. >

[1]  Jon P. Webb,et al.  Finite element analysis of dispersion in waveguides with sharp metal edges , 1988, 1988., IEEE MTT-S International Microwave Symposium Digest.

[2]  K. Ise,et al.  Dielectric post resonances in a rectangular waveguide , 1990 .

[3]  Masanori Koshiba,et al.  Three-dimensional finite-element solution of dielectric scattering obstacles in a rectangular waveguide , 1990 .

[4]  Masanori Koshiba,et al.  Improved Finite-Element Formulation in Terms of the Magnetic Field Vector for Dielectric Waveguides , 1985 .

[5]  A. Berk,et al.  Variational principles for electromagnetic resonators and waveguides , 1956 .

[6]  A. Christ,et al.  Three-Dimensional Finite-Difference Method for the Analysis of Microwave-Device Embedding , 1987 .

[7]  H. Katzier,et al.  Streuverhalten elektromagnetischer Wellen bei sprunghaften Übergängen geschirmter dielektrischer Leitungen , 1984 .

[8]  O. Picon.  Three-dimensional finite-element formulation for deterministic waveguide problems , 1988 .

[9]  F. Arndt,et al.  Double-Plane Steps in Rectangular Waveguides and Their Application for Transformers, Irises, and Filters , 1982 .

[10]  Akihisa Kameari,et al.  Calculation of transient 3D eddy current using edge-elements , 1990 .

[11]  M. Koshiba,et al.  Finite-Element Analysis of Arbitrarily Shaped H-Plane Waveguide Discontinuities , 1983 .

[12]  Alain Bossavit,et al.  Edge-elements for scattering problems , 1989 .

[13]  A. Konrad,et al.  Vector Variational Formulation of Electromagnetic Fields in Anisotropic Media , 1976 .

[14]  M. Koshiba,et al.  Application of the Boundary-Element Method to Waveguide Discontinuities (Short Paper) , 1986 .

[15]  B. M. A. Rahman,et al.  Penalty Function Improvement of Waveguide Solution by Finite Elements , 1984 .

[16]  Z. J. Cendes,et al.  Integrated microwave field simulation using three dimensional finite elements , 1990, IEEE International Digest on Microwave Symposium.

[17]  M. Koshiba,et al.  Finite‐element solution of three‐dimensional periodic waveguide problems , 1989 .

[18]  M. Hano.  Finite-Element Analysis of Dielectric-Loaded Waveguides , 1984 .

[19]  J. P. Webb.  The Finite-Element Method for Finding Modes of Dielectric-Loaded Cavities (Short Papers) , 1985 .

[20]  M. Koshiba,et al.  Vectorial Finite-Element Formulation without Spurious Modes for Dielectric Waveguides , 1984 .

[21]  R. Mansour,et al.  Simplified description of the field distribution in finlines and ridge waveguides and its application to the analysis of E-plane discontinuities , 1988, 1988., IEEE MTT-S International Microwave Symposium Digest.

[22]  P. P. Silvester,et al.  Covariant projection elements for 3D vector field problems , 1988 .