Multifrequency radiation force of acoustic waves in fluids

Glauber T. Silva, Matthew W. Urban, Mostafa Fatemi

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)48-53
Number of pages6
JournalPhysica D: Nonlinear Phenomena
Issue number1
StatePublished - Aug 1 2007


  • Dynamic radiation force
  • Nonlinear acoustics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


Dive into the research topics of 'Multifrequency radiation force of acoustic waves in fluids'. Together they form a unique fingerprint.

Cite this