Miniature Resonator Based on Transmission Line Section
DOI:
https://doi.org/10.64915/RADAP.2025.102.%25pKeywords:
microwave resonator, Fabry-Perot resonator, transmission line, transmission line sectionAbstract
Resonators are widely used in various technical fields. Miniaturization and improvement of the electrical parameters of resonators, which determine the parameters of devices based on them, are of great importance. A microwave resonator based on a transmission line section is actually an analogue of an optical Fabry-Perot resonator of length λ0/2, where λ0 is the resonant wavelength. To significantly reduce the resonator, the following solutions are proposed in the presented paper: 1) the resonator reflector is a series circuit; 2) the length of the section is a quarter-wavelength at the circuit resonant frequency; 3) the series circuit is formed by a quasi-lumped inductor and a lumped capacitor. The resistance of the reflector-circuit is noticeably lower than that of the known reflector with rejection — an open-circuited stub, which widens the suppression band. The widest suppression band is provided by a reflector-circuit formed by quasi-lumped inductor based on a short section of the transmission line and lumped capacitor. The use of miniature lumped capacitors of relatively large capacitance allows achieving significant miniaturization of the resonator with reflector-circuit. The transmission responses of the proposed resonator variants and, for comparison, the known one are presented. For a given reflector capacitance the proposed resonator has a threefold shorter length and a wider suppression band. The lengths of the two resonator variants are λ0/11 and λ0/19 versus the traditional half-wavelength. The ratio of the parasitic to the fundamental resonance frequencies is 5.3 and 9.1 versus 2 for the half-wave resonator. The obtained approximate formulas for the resonant frequency and Q-factor of the resonator make it possible to establish the relationship between electrical and design parameters and predetermine the necessary design parameters based on the given electrical ones.
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