Novel Extraction Method of Inductance Parameter for Nonuniform Transmission Line in Anisotropic Dielectric
Keywords:
Anisotropic dielectric, inductance parameter, nonuniform transmission line, tensor dielectric constantAbstract
Since the parameters of transmission line can affect the signal integrity and electromagnetic compatibility directly in high frequency circuit, and there is lack of researches in the field of solving the inductance parameter of nonuniform transmission line in anisotropic dielectric, a novel method has been proposed in this paper to solve this problem. The new method uses filament division to establish the dispersion model of nonuniform transmission line, and formulates the filament division principle based on Biot-Savart Law and skin effect. Then it develops the Ampere loop integral dyadic equations and the closed circuit dyadic impedance matrix equation with direction factor in frequency domain based on electromagnetic quasi-static (EMQS). To obtain the corresponding magnetic field direction factor, the relative position of filaments in geometric space is analyzed. Finally, the inductance parameters are obtained by the impedance matrix equation. The correctness of proposed method is verified by applying to uniform transmission line model. Then the new method is applied to the calculation of two nonuniform transmission line models which filled in free space and anisotropic dielectric respectively. The inductance parameters and frequency dependency solved by different methods are compared, showing accuracy and validity of the proposed method. Besides, the new method can be applied to various transmission line structures and different anisotropic dielectric.
Downloads
References
D. Lei and D. Jiao, “Sensitivity analysis of lossy nonuniform transmission lines with nonlinear terminations,” IEEE Trans. Adv. Packag., vol. 33, no. 2, pp. 492-497, May 2010.
T. Takahiro, S. Tadatoshi, and A. Hideki, “Fast transient analysis of nonuniform multiconductor transmission lines using HIE-Block-LIM,” IEEE Microw. Wirel. Co., vol. 23, no. 10, pp. 512-514, Oct. 2013.
L. Jacek, “Equivalent circuits for nonuniform transmission line simulation,” Applied Comput. Electromagn. Society J., vol. 25, no. 9, pp. 764-779, Sep. 2010.
Q. Xu and P. Mazumder, “Accurate modeling of lossy nonuniform transmission lines by using differential quadrature methods,” IEEE Trans. Microw. Theory Tech., vol. 50, no. 10, pp. 2233- 2246, Oct. 2002.
K. Afrooz and A. Abdipour, “Efficient method for time-domain analysis of lossy nonuniform multiconductor transmission line driven by a modulated signal using FDTD technique,” IEEE Trans. Electromagn. Compat., vol. 54, no. 2, pp. 482-494, Apr. 2012.
V. Nayyeri, M. Soleimani, and O. M. Ramahi, “A method to model thin conductive layers in the Finite-Difference Time-Domain method,” IEEE Trans. Electromagn. Compat., vol. 56, no. 2, pp. 385-392, Apr. 2014.
Y. Liu, J. Hong, and K. K. Mei, “Analysis of a double step microstrip discontinuity using generalized transmission line equations,” IEEE Trans. Adv. Packag., vol. 26, no. 4, pp. 368-374, Nov. 2003.
C. R. Paul and A. E. Feather, “Computation of the transmission line inductance and capacitance matrices from the generalized capacitance matrix,” IEEE Trans. Electromagn. Compat., vol. 18, no. 4, pp. 175-183, Dec. 1976.
Y. Altuncu, “A numerical method for electromagnetic scattering by 3-D dielectric objects buried under 2-D locally rough surfaces,” IEEE Trans. Antennas Propagat., vol. 63, no. 8, pp. 3634-3643, Aug. 2015.
M. Kamon, M. J. Tsuk, and J. White, “FastHenry: A multipole-accelerated 3-D inductance extraction program,” IEEE Trans. Microw. Theory Tech., vol. 42, no. 9, pp. 1750-1758, Sep. 1994.
Y. Li, J. Li, and M. Wang, “Internal and external electric field for an anisotropic dielectric particle in electromagnetic beams,” IEEE Trans. Antennas Propagat., vol. 61, no. 9, pp. 4754-4759, 2013.
K. Agarwal, P. Li, and X. Chen, “Subspace-based optimization method for reconstruction of 2-D complex anisotropic dielectric objects,” IEEE Trans. Microw. Theory Tech., vol. 58, no. 4, pp. 1065-1074, Apr. 2010.
B. Carl, W. Gregory, and C. John, “A second-order 2D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh,” J. Comput. Phys., no. 230, pp. 2060-2075, 2011.
S. N. Dudorov, D. V. Lioubtchenko, and A. V. Raisanen, “Modification of marcatili's method for the calculation of anisotropic dielectric waveguides,” IEEE Trans. Microw. Theory Tech., vol. 50, no. 6, pp. 1640-1642, June 2002.
B. Benjamin, R. David, and N. Robert, “Multiconductor spectral domain analysis of the mutual coupling between printed dipoles embedded in stratified uniaxial anisotropic dielectrics,” IEEE Trans. Antennas Propagat., vol. 60, no. 4, pp. 1886-1898, Apr. 2012.
C. R. Paul and A. E. Feather, “Computation of the transmission line inductance and capacitance matrices from the generalized capacitance matrix,” IEEE Trans. Electromagn. Compat., vol. 18, no. 4, pp. 175-183, 1976.
J. Mao and Z. Li, “Analysis of the time response of nonuniform multiconductor transmission lines with a method of equivalent cascaded network chain,” IEEE Trans. Microw. Theory Tech., vol. 40, no. 5, pp. 948-954, May 1992.
