Relatioship of peaks of correlation functions of amplitude and phase fluctuations with eigen frequencies in oscillation spectrum

Method of correlation functions of signal amplitude and phase fluctuations (CFAP) is used for processing oscillations in one-dimensional and two-dimensional rectangular cavity resonator models. For all cases, a universal relation, which gives a relationship between the repetition period of peaks on CFAP functions and the difference of adjacent eigenfrequencies in the signal spectrum was obtained. It is shown that for two-dimensional standing wave, this difference can have only two values, each of which corresponds to eigenfrequencies of one-dimensional standing waves. The proposed method allows us to detect all possible one-dimensional standing waves which can occur in the object under study.