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−crk), where cr is a random speed. Numerical simulations are in agreement with the analytical theory which shows that at cr = 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 cr ω/k).

Keywords

• sound waves
• random waves
• frequency shift
• amplitude alteration