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In this paper, an analytical method for evaluation of via-plate capacitance including finite plate thickness in multilayer structures is proposed. An electrostatic boundary-value problem associated with a via in parallel plates is solved based on the Hankel transform and mode matching method, and thereby a fast-converging series-form expression for the via-plate capacitance is derived. The effect of finite plate thickness is taken into account by adopting the mode matching method instead of imposing an artificial perfect magnetic conductor boundary as in the previous works. We perform some computations to show the behaviors of the capacitance in terms of the via geometry, and they are validated through comparison with a static/quasi-static simulation, full-wave electromagnetic simulation, and the previous analytical solutions of via capacitance. [ABSTRACT FROM AUTHOR]

In this letter, the capacitance of a conductor-backed coplanar waveguide (CPW) with an upper shielding is investigated.An electrostatic boundary-value problem of the conductor-backed CPW with an upper shielding is solved using the Fourier transform, mode matching technique, and superposition. The capacitance of the conductor-backed CPW is represented in a series and calculated in terms of the CPW geometry. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:1364-1368, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26007 [ABSTRACT FROM AUTHOR]

Abstract: Electrostatic potential penetration into a circular enclosure with circular apertures is investigated. An electrostatic boundary-value problem of the circular enclosure with circular apertures is solved based on the Hankel transform, mode matching technique, and superposition. The polarizability of the circular apertures is represented in a series and calculated in terms of the aperture geometry to understand the behaviors of potential penetration. [Copyright &y& Elsevier]

Abstract: Capacitance of a coaxial line terminated by a gap is investigated. An electrostatic boundary-value problem of the coaxial line terminated by a gap is rigorously solved based on the Fourier sine transform, mode matching technique, and superposition. The capacitance of the coaxial line is represented in a fast-convergent series and computed in terms of the gap geometry and the gap permittivity. [Copyright &y& Elsevier]