Circular Patch Resonator Research Articles

Full-wave analysis of circular microstrip resonators in multilayered media containing uniaxial anisotropic dielectrics, magnetized ferrites, and chiral materials

In this paper, Galerkin's method in the Hankel transform domain is applied to the determination of the resonant frequencies, quality factors, and radiation patterns of circular microstrip patch resonators. The metallic patches are assumed to be embedded in a multilayered substrate, which may contain uniaxial anisotropic dielectrics, magnetized ferrites, and/or chiral materials. The numerical results obtained show that important errors can be made in the computation of the resonant frequencies of the resonators when substrate dielectric anisotropy, substrate magnetic anisotropy and/or substrate chirality are ignored. Also, it is shown that the resonant frequencies of circular microstrip resonators on magnetized ferrites can be tuned over a wide frequency range by varying the applied bias magnetic field. Finally, the computed results show that the resonance and radiation properties of a circular microstrip patch on a chiral material is very similar to those of a circular patch of the same size printed on a nonchiral material of lower permittivity.

Resonant modes of circular microstrip patches over ground planes with circular apertures in multilayered substrates containing anisotropic and ferrite materials

In this paper, the authors analyze how the resonant modes of circular microstrip patch resonators are affected by the presence of circular apertures in the ground plane located under the patches. A rigorous full-wave analysis in the Hankel transform domain (HTD) is carried out in order to obtain the resonant frequencies, quality factors, and radiation patterns of the circular microstrip patch resonators over ground planes with circular apertures. With the use of suitable Green's functions in the HTD, the analysis is performed for the case where the circular patches, as well as the ground planes containing the apertures are embedded in a multilayered substrate consisting of isotropic dielectrics, uniaxial anisotropic dielectrics, and/or magnetized ferrites. The numerical results obtained are compared with experimental results, and good agreement is found. The results show that the circular apertures significantly affect the resonant frequencies of circular microstrip patches.

Computing capacitances via the Schwarz-Christoffel transformation in structures with rotational symmetry

The solution of Laplace's equation problems in cylindrical coordinates via conformal mapping of the axial cross-section for structures exhibiting rotational symmetry is revisited. Numerical algorithms are used to perform Schwarz-Christoffel transformations. Capacitance values are obtained for structures already examined in the literature by means of other methods, and accuracy is discussed. The capacitance of the circular patch resonator is accurately computed.

A new method to compute the capacitance of the circular patch resonator

Discusses an analytical solution for the capacitance of the circular microstrip patch resonator. Shows that the electrostatic problem can be formulated as a system of dual integral equations, which is reduced to a single Fredholm integral equation of the second kind with a continuous kernel. Discusses the solution of this new integral equation in a certain range of the parameters, and derives some useful formulas for the capacitance. Finally, gives plots of the capacitance in a wide range of the relative permittivity.