Time Domain Coupling between Non-parallel Transmission Lines

Weikun LIU  Yoshio KAMI  

IEICE TRANSACTIONS on Communications   Vol.E80-B   No.11   pp.1639-1644
Publication Date: 1997/11/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on EMC Implications of Densely Mounted Electronic Devices)
coupling,  transmission line equation,  four-port network,  vector potential,  distributed source,  

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Coupling in time domain between two non-parallel transmission lines of finite length is analyzed by using a circuit concept. Coupling equations based on the Maxwell's equations for lossless transmission lines in a homogeneous medium are written by a set of non-homogeneous differential equations including distributed source terms produced by external electromagnetic fields. The forcing terms are expressed by vector potentials generated by currents in the line section and at the transitions. A set of solutions in frequency domain is obtained by a four-port network expression with regard to the terminal voltages and currents, and can be applied to estimation of the frequency-domain crosstalk. Utilizing the inverse fast Fourier transform (FFT), the crosstalk responses between the lines is studied in time domain. Comparison of theoretical and experimental results shows the validity of the method.