Theoretical Investigation on the Resonance Effect in the Acoustics

Abstract

Abstract-In this paper, the resonance interaction at the acoustic vibration caused by the inharmonic vibration is discussed. Based on the perturbation theory, the influences of the resonance interaction between the two and three vibrant levels on the level energy, wave-function, and the spectral line intensity are investigated in detail respectively. The analytical expressions of the vibration level energy, wave-function, and spectral line intensity with the consideration of the resonance interaction are also obtained under the third order inharmonic approximation.