We derive the formulas for the characteristics of microwave measuring resonators with nonresonant leakage of the signal from the input to the output of the resonator. It is shown that such a leakage can significantly distort the shape of the resonance curve and lead to errors when determining the Q-factor and the resonant frequency. The accuracy of approximating the experimental resonance curve of a resonator with nonresonant power leakage by two functions is compared in the cases of the classical resonance function and the generalized function allowing for the absolute value and phase of the direct-leakage signal. The use of the generalized resonance function makes it possible to reduce the approximation error and obtain a high accuracy of the Q-factor and the resonant frequency from the distorted resonance curve with nonresonant power leakage.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 8, pp. 493–503, August 2010.
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Egorov, V.N. Characteristics of microwave resonators with nonresonant power leakage. Radiophys Quantum El 53, 443–453 (2011). https://doi.org/10.1007/s11141-011-9241-4
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DOI: https://doi.org/10.1007/s11141-011-9241-4