摘 要: | The Feynman diagram theory with the state-space formalism isadopted to study the multifrequency nonlinear acoustics effects.By establishingthe relation between the strain magnitude corresponding to any final stateS(m_1,…,m_n;x)and the number of paths from the initial state of the interactingphonons to the final state,not only the complete perturbation solutions but alsothe corresponding analytical expressions of the acoustic harmonics andintermodulation products have been obtained.For a few special cases,results ofour theory is consistent with those obtained by conventional methods.While thegeneral solution for any number of frequencies can easily be obtained by our the-ory,this is impossible by using conventional methods.
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