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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]

Mode-matching analysis of a coaxially fed annular slot surrounded by corrugations is conducted in this study. An electromagnetic boundary value problem of a coaxially fed annular slot surrounded with corrugations is rigorously solved based on the Hankel transform, eigenfunction expansion, and mode-matching method. The radiated field is represented in a fast-convergent series that is amenable to numerical analysis. Numerical results are presented to illustrate the radiation behaviors in terms of the geometries of the corrugations and compared with measurement data. [ABSTRACT FROM AUTHOR]

Electromagnetic transmission through a slit surrounded by rectangular grooves in a conducting plane is investigated. An electromagnetic boundary-value problem associated with a slit surrounded by rectangular grooves in a conducting plane is rigorously solved based on the Fourier transform, eigenfunction expansion and mode matching method. The transmission coefficient through the slit is represented in a series. Computation is performed to illustrate the effect of the groove geometry on the transmission behaviours. [ABSTRACT FROM AUTHOR]

Enhanced transmission through a circular aperture surrounded by concentric surface corrugations in a conducting plane is investigated. A boundary-value problem of electromagnetic wave scattering from a circular aperture surrounded by concentric surface corrugations is rigorously solved based on the Hankel transform, eigenfunction expansion, and mode-matching method. The transmission coefficient is represented in a fast-convergent series that is amenable to numerical analysis. Computation is performed to illustrate the transmission behaviors in terms of the geometries of the concentric corrugations. The effects of the higher-order modes on the transmission coefficients are also discussed. [ABSTRACT FROM AUTHOR]

Directional emission from a slit surrounded by rectangular grooves on the exit surface in a conducting plane is investigated. An electromagnetic boundary-value problem dealing with a slit surrounded by rectangular grooves on the exit surface in a conducting plane is rigourously solved based on the Fourier transform, eigenfunction expansion, and mode-matching method. The radiation pattern from the slit is represented in a series and computed to illustrate the radiation behaviors in terms of the groove geometry. [ABSTRACT FROM PUBLISHER]