Bq. Tian et Wr. Tinga, SINGLE-FREQUENCY RELATIVE Q MEASUREMENTS USING PERTURBATION-THEORY, IEEE transactions on microwave theory and techniques, 41(11), 1993, pp. 1922-1927
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.