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Principles of Time Domain Calculus of Microwave Resonator Parameters

A new unified method is proposed to calculate the basic resonator parameters, i.e., the resonant frequency, external Q, unloaded Q and coupling coefficient in the time domain. By exciting the resonator from a weakly coupled external circuit, one can inject only a narrow resonant spectrum from the broad spectrum of the excitation pulse. The resonant frequency is easily counted by the number of zero crossings of the internal field intensity, whereas the Q's are calculated by the decay rate of the field amplitude. The coupling coefficient computed by the energy exchange rate between two resonators completes the new time domain algorithm.