Novel Extraction Method of Inductance Parameter for Nonuniform Transmission Line in Anisotropic Dielectric
关键词:
Anisotropic dielectric, inductance parameter, nonuniform transmission line, tensor dielectric constant摘要
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.
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参考
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