SOUND WAVES IN A WAVE NOISE

Abstract

We examine by analytical and numerical means sound waves which propagate in a spaceand time-dependent random mass density field in the form of dispersionless wave noise of its spectrum E(k,ω) ∼ E(k)δ(ω−c_rk), where c_r is a random speed. Numerical simulations are in agreement with the analytical theory which shows that at c_r = ω/k resonance occurs and the cyclic frequency ω tends to infinity. For values of cr which are close to the resonance point, the sound waves are slowed down and attenuated (accelerated and amplified) for c_r < ω/k (c_r > ω/k).