Hybrid Mode Matching and Method of Moments Method for the Full-Wave Analysis of Arbitrarily Shaped Structures Fed Through Canonical Waveguides Using Only Electric Currents

A new hybrid mode matching and method of moments formulation based only on electric currents is presented in this paper. The use of only one equivalent current allows the introduction of a new set of unknowns. The chosen new unknowns are the weights related to the scattered modes that emerge from the ports to the waveguides that feed the problem. Applying this new formulation, the matrices that must be inverted are smaller and the generalized scattering matrix can be obtained directly from the solution of the resulting system of equations so that no additional projection is needed to obtain the scattering parameters, as happens with traditional approaches with two equivalent currents. As a result, certain efficiency improvement is obtained, as can be seen when this technique is applied to the solution of H-plane problems in rectangular waveguide.

[1]  A. Wexler.  Solution of Waveguide Discontinuities by Modal Analysis , 1967 .

[2]  F. Arndt,et al.  Flexible Hybrid MM/MoM Technique for the CAD and Optimization of Arbitrarily Shaped 3D Waveguide Components , 2003, 2003 33rd European Microwave Conference, 2003.

[3]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[4]  F. Arndt,et al.  Fast CAD and optimization of waveguide components and aperture antennas by hybrid MM/FE/MoM/FD methods-state-of-the-art and recent advances , 2004, IEEE Transactions on Microwave Theory and Techniques.

[5]  F. Arndt,et al.  Moment-method analysis of arbitrary 3-D metallic N-port waveguide structures , 2000 .

[6]  Jiming Song,et al.  Multilevel fast‐multipole algorithm for solving combined field integral equations of electromagnetic scattering , 1995 .

[7]  Allen W. Glisson,et al.  An integral equation for electromagnetic scattering from homogeneous dielectric bodies , 1984 .

[8]  J. Lee,et al.  Performance of Preconditioned Krylov Iterative Methods for Solving Hybrid Equations in Electromagnetics , 2003 .

[9]  V. Rokhlin,et al.  The fast multipole method (FMM) for electromagnetic scattering problems , 1992 .

[10]  Jiming Song,et al.  Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects , 1997 .

[11]  R. Coifman,et al.  The fast multipole method for the wave equation: a pedestrian prescription , 1993, IEEE Antennas and Propagation Magazine.

[12]  V. Rokhlin.  Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[13]  R. Bunger,et al.  Mode-matching analysis of the step discontinuity in elliptical waveguides , 1996 .

[14]  Jian-Ming Jin,et al.  Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies , 1998 .

[15]  Raj Mittra,et al.  Convergence of the conjugate gradient method when applied to matrix equations representing electromagnetic scattering problems , 1986 .

[16]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[17]  F. Arndt,et al.  Rigorous combined mode-matching integral equation analysis of horn antennas with arbitrary cross section , 1999 .

[18]  Xiao-Peng Liang,et al.  A rigorous three plane mode-matching technique for characterizing waveguide T-junctions, and its application in multiplexer design , 1991 .

[19]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[20]  Michael S. Yeung,et al.  Single integral equation for electromagnetic scattering by three-dimensional homogeneous dielectric objects , 1999 .

[21]  Weng Cho Chew,et al.  Recursive mode matching method for multiple waveguide junction modeling , 1996 .

[22]  Nathan Marcuvitz.  Waveguide Handbook , 1951 .

[23]  R. Bansal,et al.  Antenna theory; analysis and design , 1984, Proceedings of the IEEE.

[24]  F. Arndt,et al.  Hybrid surface integral-equation/mode-matching method for the analysis of dielectric loaded waveguide filters of arbitrary shape , 2005, IEEE Transactions on Microwave Theory and Techniques.

[25]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[26]  J. M. Reiter,et al.  A full-wave boundary contour mode-matching method (BCMM) for the rigorous CAD of single and cascaded optimized H-plane and E-plane bends , 1994, 1994 IEEE MTT-S International Microwave Symposium Digest (Cat. No.94CH3389-4).

[27]  R. Macphie,et al.  Scattering at Rectangular-to-Rectangular Waveguide Junctions , 1982 .

[28]  J. M. Reiter,et al.  Rigorous analysis of arbitrarily shaped H- and E-plane discontinuities in rectangular waveguides by a full-wave boundary contour mode-matching method , 1995 .

[29]  Fast Multipole Method Solution of Combined Field Integral Equation , 1995 .

[30]  F. Arndt,et al.  A surface integral equation formulation for dielectric post structures in waveguides , 2005, IMS 2005.