SINGLE-FREQUENCY RELATIVE Q MEASUREMENTS USING PERTURBATION-THEORY

Traditionally, Q measurement requires a nonzero frequency bandwidth or time period. Contrasted to this, the principle of a new single-freque ncy relative Q measurement method is developed. It is found that Q is directly or inversely proportional to the normalized input resonant re sistance if a moderate perturbation condition is satisfied. Theoretica l proof and experimental verification of the single-frequency method's validity are presented. Consequently, a relative Q, often used in die lectric measurements, can be measured using a much simpler measurement system. Moreover, error analysis shows that, in making a relative Q m easurement, the error in the single-frequency method is smaller than t hat in the traditional bandpass method when using a reflectometer.