Determination of capacitances and inductances of the uniform coupled lines in the anisotropic inhomogeneous medium by resistive sheet

Many filters, power dividers and nonreciprocal circuits such as a lumped element circulators used for broadcasting, communications and CATV, are using parallel coupled lines together with the high dielectric constant ceramics and ferrite. It is important to design such a devices, that the capacitance and inductance per unit length of the multi-distributed lines are determined by simple methods. This paper shows a simple method of determining the values of the multi-lines in an anisotropic medium by using the two dimensional resistive sheet or equivalent computer method. The values are used for obtaining the effective dielectric constant and the effective permeability which are required for the estimation of the quasi-TEM mode in the case of a small sectional dimension compared with the wavelength. The method used to obtain the inductance is based on the Babinet' principle.