THEORY OF NONLINEAR INTERACTION OF FINITE AMPLITUDE RANDOM SOUND WAVES

In this paper a theory of nonlinear interaction for finite amplitude random sound waves is developed. On the basis of the assumption that the velocity amplitude of source of sound should obey Rayleigh distribution, the authors successfully extend Fenlon's theory to the case of random sound waves. A series of interesting formulas expressed in the form of the spectral distribution are derived (for example, the formulas for the nonlinear distortion of random sound waves, the suppression of the weak random sound wave by the intense regular sound wave, the parametric process of random sound waves, etc.). In this paper it is also pointed out that some important results of statistical phenomena of nonlinear acoustics obtained by O.V. Rudenko can be easily derived from the present theory.