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Multifrequency radiation force of acoustic waves in fluids
Authors:Glauber T Silva  Matthew W Urban
Institution:a Centro de Pesquisa em Matemática Computacional, Universidade Federal de Alagoas, Maceió, AL, 57.072-970, Brazil
b Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine, Rochester, 55905, USA
Abstract:In this article we introduce the concept of multifrequency radiation force produced by a polychromatic acoustic beam propagating in a fluid. This force is a generalization of dynamic radiation force due to a bichromatic wave. We analyse the force exerted on a rigid sphere by a plane wave with N frequency components. Our approach is based on solving the related scattering problem, taking into account the nonlinearity of the fluid. The radiation force is calculated by integrating the excess of pressure in the quasilinear approximation over the surface of the sphere. Results reveal that the spectrum of the multifrequency radiation force is composed of up to N(N−1)/2 distinct frequency components. In addition, the radiation force generated by plane progressive waves is predominantly caused by parametric amplification. This is a phenomenon due to the nonlinear nature of wave propagation in fluids.
Keywords:Dynamic radiation force  Nonlinear acoustics
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