Capacitance Computation of Coplanar Waveguide Using the Mellin Transform and Mode-Matching

The electrostatic boundary-value problem of a symmetric, slotted conducting wedge is solved to compute the capacitance of a coplanar waveguide using the Mellin transform and a mode-matching method. In order to obtain a fast convergent series solution, eigenfunction expansion and residue calculus are applied. A simulation using a commercial software package was also conducted to validate the proposed approach. Our theoretical results are in good agreement with the simulation results as well as the results by conformal mapping.