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2006-10-26

Application of Mode Matching Method to Analysis of Axisymmetric Coaxial Discontinuity Structures Used in Permeability and/OR Permittivity Measurement

By Ruifeng Huang and Daming Zhang
Progress In Electromagnetics Research, Vol. 67, 205-230, 2007
doi:10.2528/PIER06083103

Abstract

This paper presents a mode matching method to analyze axisymmetric coaxial discontinuity structures, commonly used in the permeability and/or permittivity measurement.By performing the mode matching procedures at all discontinuity interfaces, a set of general simultaneous equations are derived, which can be easily solved.The s parameters and field distribution in the structures are readily obtained from the solution to the simultaneous equations. As a preliminary preparation for the mode matching method, the propagation constants of all the sections in the structure have to be solved.A one-dimensional frequency domain finite difference method is presented in this paper to efficiently solve the propagation constants for the multi-layered axisymmetric structures. Numerical examples show that the results obtained from the method in this paper are in good agreement with those from other methods in the published literature papers, and the method presented here has much higher efficiency.

Citation

 (See works that cites this article)
Ruifeng Huang and Daming Zhang, "Application of Mode Matching Method to Analysis of Axisymmetric Coaxial Discontinuity Structures Used in Permeability and/OR Permittivity Measurement," Progress In Electromagnetics Research, Vol. 67, 205-230, 2007.
doi:10.2528/PIER06083103
http://jpier.org/PIER/pier.php?paper=06083103

References


    1. Nicolson, A.M.and G.F.Ross, "Measurement of the intrinsic properties of materials by time-domain techniques," IEEE Trans. Instrum. Meas., Vol. IM-19, No. 11, 377-382, 1970.

    2. Weir, W. B., Automatic measurement of complex dielectric constant and permeability at microwave frequencies, Proc. IEEE, Vol. 62, No. 1, 33-36, 1974.

    3. Belhadj-Tahar, N.-E.and A.F ourrier-Lamer, "Broad-band analysis of a coaxial discontinuity used for dielectric measurements," IEEE Trans. Microwave Theory Tech., Vol. 34, No. 3, 346-350, 1986.
    doi:10.1109/TMTT.1986.1133342

    4. Belhadj-Tahar, N.-E., A. Fourrier-Lamer, and H. de Chanterac, "Broad-band simultaneous measurement of complex permittivity and permeability using a coaxial discontinuity," IEEE Trans. Microwave Theory Tech., Vol. 38, No. 1, 1-7, 1990.
    doi:10.1109/22.44149

    5. Obrzut, J.and A.Anop chenko, "Input impedance of a coaxial line terminated with a complex gap capacitance — numerical and experimental analysis," IEEE Trans. Instrum. Meas., Vol. 53, No. 4, 1197-1201, 2004.
    doi:10.1109/TIM.2004.830777

    6. Huang, J., K.W u, P.Morin, and C.Aky el, "Characterization of highly dispersive materials using composite coaxial cells: electromagnetic analysis and wideband measurement," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 5, 770-777, 1996.
    doi:10.1109/22.493931

    7. W exler, A., "Solution of waveguide discontinuities by modal analysis," IEEE Trans. Microwave Theory Tech., Vol. 15, No. 9, 508-517, 1967.
    doi:10.1109/TMTT.1967.1126521

    8. Eom, H.J., Y.C.Noh, and J.K.P ark, "Scattering analysis of a coaxial line terminated by a gap," IEEE Microwave and Guided Wave Letters, Vol. 8, No. 6, 218-219, 1998.
    doi:10.1109/75.678569

    9. Da vidovich, M. V., "Full-wave analysis of coaxial mounting structure," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 3, 265-270, 1999.
    doi:10.1109/22.750220

    10. Wilkins, G. M., J.-F. Lee, and R. Mittra, "Numerical modeling of axisymmetric coaxial waveguide discontinuities," IEEE Trans. Microwave Theory Tech., Vol. 39, No. 8, 1323-1328, 1991.
    doi:10.1109/22.85407

    11. Chen, Y., R.Mittra, and P.Harms, "Finite-difference timedomain algorithm for solving Maxwell's equations in rotationally symmetric geometries," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 6, 832-839, 1996.
    doi:10.1109/22.506441

    12. Yu, W., R.Mittra, and S.Dey, "Application of the nonuniform FDTD technique to analysis of coaxial discontinuity structures," IEEE Trans. Microwave Theory Tech., Vol. 49, No. 1, 207-209, 2001.
    doi:10.1109/22.900011

    13. Holland, R., "Finite difference solutions of Maxwell's equations in generalized nonorthogonal coordinates," IEEE Trans. Nuc. Sci., Vol. NS-30, No. 6, 4589-4591, 1983.

    14. Fusco, M., "FDTD algorithm in curvilinear coordinates," IEEE Trans on Antennas and Propagation, Vol. 38, No. 1, 76-89, 1990.
    doi:10.1109/8.43592

    15. Zhao, Y.J., K.L.W u, and K.K.M.Cheng, "A compact 2-D fullwave finite-difference frequency-domain method for general guided wave structures," IEEE Trans. Microwave Theory Tech., Vol. 50, No. 7, 1844-1848, 2002.
    doi:10.1109/TMTT.2002.800447

    16. Pereda, J.A., A.V egas, and A.Prieto, "An improved compact 2D fullwave FDFD method for general guided wave structures," Microwave and Optical Technology Letters, Vol. 38, No. 4, 331-335, 2003.
    doi:10.1002/mop.11052

    17. Li, L.Y.and J.F.Mao, "An improved compact 2-D finitedifference frequency-domain method for guided wave structures," IEEE Microwave and Wireless Components Letters, Vol. 13, No. 12, 520-522, 2003.
    doi:10.1109/LMWC.2003.819956

    18. Wang, B.Z., X.H.W ang, and W.Shao, "2D full-wave finitedifference frequency-domain method for lossy metal waveguide," Microwave and Optical Technology Letters, Vol. 42, No. 2, 158-161, 2004.
    doi:10.1002/mop.20238

    19. Haffa, S., D.Hollmann, and W.Wiesb eck, "The finite difference method for S-parameter calculation of arbitrary three-dimensional structures," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 8, 1602-1610, 1992.
    doi:10.1109/22.149538

    20. Bardi, I.and O.Biro, "An efficient finite-element formulation without spurious modes for anisotropic waveguides," IEEE Trans. Microwave Theory Tech., Vol. 39, No. 7, 1133-1139, 1991.
    doi:10.1109/22.85380

    21. Angkaew, T., M.Matsuhara, and N.Kumagai, "Finite-element analysis of waveguide modes: a novel approach that eliminates spurious modes," IEEE Trans. Microwave Theory Tech., Vol. 35, No. 2, 117-123, 1987.
    doi:10.1109/TMTT.1987.1133613

    22. Williams, D.J., C.J.Railton, and D.J.Edw ards, A mathematical model of concentrically loaded coaxial structures and its EMC applications, 7th International Conference on Electromagnetic Compatibility, No. 8, 91-98, 1990.

    23. Marcuvitz, N., Waveguide Handbook, Peter Peregrinus Ltd., London, 1986.

    24. Kong, J. A., Electromagnetic Wave Theory, 2nd ed., Wiley, New York, 1990. 25.Andrews, L. C., Special Functions for Engineers and Applied Mathematicians, McGraw-Hill, New York, 1962.

    26. Zhang, D.M.and C.F.F oo, "Theoretical analysis of the electrical and magnetic field distributions in a toroidal core with circular cross section," IEEE T MAGN, Vol. 35, No. 3, 1924-1931, 1999.
    doi:10.1109/20.764886

    27. Labay, V.and J.Bornemann, "Matrix singular value decomposition for pole-free solutions of homogeneous matrix equations as applied to numerical modeling methods," IEEE Microwave and Guided Wave Letters, Vol. 2, No. 2, 49-51, 1992.
    doi:10.1109/75.122406

    28. Amari, S. and J. Bornemann, "A pole-free modal field-matching technique for eigenvalue problems in electromagnetics," IEEE Trans. Microwave Theory Tech., Vol. 45, No. 9, 1649-1653, 1997.
    doi:10.1109/22.622938

    29. Eleftheriades, G.V., A.S.Omar, L.P .B.Katehi, and G.M.Reb eiz, "Some important properties of waveguide junction generalized scattering matrices in the context of the mode matching technique," IEEE Trans. Microwave Theory Tech., Vol. 42, No. 10, 1896-1903, 1994.
    doi:10.1109/22.320771