Abstract
The Dirichlet problem for Laplace's equation in an area between two arbitrary profiled infinitely long cylinders is rigorously solved by the Method of Regularization. The obtained solution is applied to the accurate analysis of the shielded microstrip line with homogeneous dielectric filling and thick conductor — the structure supporting the transmission of an ideal TEM-wave. Capacitance and characteristic impedance are calculated for different shapes of transmission line profile with an accent on the near rectangular profile modelled by the super-quadric equation. Effect of the finite conductor thickness on characteristic impedance is comprehensively examined.
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