I.V. Malyshev – Ph.D.(Eng.), Associate Professor, Department of Radio Technical Electronics,  Institute of Nanotechnologies, Electronics and Equipment Engineering of SFedU (Taganrog)

E-mail: im1960@mail.ru

E.V. Nikolaev – Undergraduate, Department of Radio Technical Electronics, 

Institute of Nanotechnologies, Electronics and Equipment Engineering of SFedU (Taganrog) E-mail: nikolayevev@mail.ru

In this article, we present an original method for calculating a double annular cut resonator and investigate the features of its application in the microwave power transmission path for introducing filtering. The structure of the double annular cut resonator is produced by a process of photolithography or sputtering on the back side of a dielectric substrate, with a coplanar transmission line on its front side.

The calculation and modeling of the parameters of the described structure in the microwave range are carried out and the transmission coefficient of the microwave power through the described structure is presented and the dependence of the thickness of the applied dielectric substrate on the calculated resonant frequency is considered.

The article is devoted to the original method of calculating the structure of a double split ring resonator and analyzing the obtained characteristics. In recent years, microwave and EHF devices have been using new high-tech components as dielectric elements, which significantly improve the output parameters of devices in comparison with existing analogues. Such elements include metamaterials, which are artificially created composite structures, as well as metamaterial inclusions with resonant properties in given frequency bands. One of such inclusions is a double split ring resonator.

The method of calculation allows calculating a double ring cut resonator in microwave and EHF frequency bands for the required resonant frequency, which is considered for the example of calculating a double cut ring resonator with a resonant frequency of 2 GHz. The structure of such a resonator and the type of connection to a transmission line of microwave or EHF power are studied. In studies, the ring-shaped ring resonator is manufactured by the photolithography process on the underside of the printed circuit board under the coplanar transmission line. Parameters of the coplanar transmission line should be optimized in such a way as to ensure that the ports of the filter elements are equal to 50-ohms. The article presents the microwave power transmission coefficient obtained as a result of the electrodynamic simulation of the structure under consideration based on the overall dimensions obtained as a result of calculation. The described structure is a band-stop filter and does not transmit microwave power at a given resonant frequency. The received characteristics confirm the working capacity of the proposed mathematical calculation method. The article describes that, because of the decrease in the thickness of the split rings of the resonator, the resonance frequency shifts, which makes it possible to adjust the resonant frequency and reduce the error at the stage of electrodynamic modeling.

Experienced was definitely the optimal value of the width of the resonator rings, which is 1 mm. Based on several calculated structures in the frequency range from 1 to 3 GHz, the relationship between the radii of the rings and the resonance frequencies is constructed, demonstrating a decrease in the dimensions of the resonance structure under consideration with increasing resonance frequency. The dependence of the thickness of the dielectric material used with respect to the resonant frequency is presented, as a result of which it is clarified that from the resonance frequency of 2 GHz and higher the optimum thickness of the material used has insignificant changes in the direction of decrease.

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