An extended mode-matching model for improved relative permittivity measurements using a split-cylinder resonator

Abstract

Abstract. In this paper we present an extended modematching model for a split-cylinder resonator involving T E and T M resonant modes. The new model enhances the known T E 0np mode-matching model by improving mode identification and distortion analysis and providing better frequency range coverage for relative permittivity estimation. In order to verify the new model, measured spectra of several substrate materials are analyzed and the estimation results are compared with those of the T E 0np mode-matching model.

Enhanced Full-Wave Circuit Analysis for Modeling of a Split Cylinder Resonator

“…In Table II, the dataset of Table 1 from [26] is compared with our technique, and the accuracy of the full wave circuit method for the correct determination of the dielectric properties using TE 111 mode is validated. The last comparison, Table III, is done with a full wave mode matching method developed in [19]. This is the most In the simulations, there are more TE modes than TM modes because the excitation of the cavity is designed for the propagation of only TE modes, TM modes appear because of coupling misalignment or discontinuities into the cavity.…”

“…By using the analytical solution of the Bessel integrals, our full wave method is faster than others and one of the most efficient computationally. For example, in [19] all the integrals involved into the problem are computed numerically, which reduces significantly the speed and the efficiency of the method.…”

“…The modeling of inhomogeneous dielectric cylinders is developed by [17] with full multimodal scattering matrix. More recent publications such as [18] or [19] describe a fullwave mode-matching technique to model a cavity for liquid permittivity measurement or a split cylinder resonator respectively.…”

“…In [22], the resonant frequency for the measurement of dielectric constant becomes tunable because it includes the possibility of modifying the lengths of the upper or lower parts of the split cavity. In [19], as was mentioned above, it includes more David Marqués-Villarroya, Felipe L. Peñaranda-Foix, Senior, IEEE, Beatriz García-Baños, José M. Catalá-Civera, Senior, IEEE, José D. Gutiérrez-Cano.…”