Nonlinear ultrasound scattering by a cloud of microbubbles

Glauber T. Silva, Marek Belohlavek, Eileen M. McMahon, Mostafa Fatemi

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


In this study, we theoretically analyze the interaction of ultrasound waves in a liquid with suspended gas microbubbles confined in region of the liquid. In ultrasound harmonic imaging, gas microbubbles are used to contrast image by accentuating the generation of backscattered second-harmonic waves. However, these waves are attenuated twice as much as the fundamental. To delineate the harmonic amplification effect from excess attenuation, we study the nonlinear interaction of ultrasound with a region containing microbubbles. Considering an incident plane wave interacting with a spherical cloud of microbubbles, the solutions for the linear and the second-harmonic scattered waves are derived. The results are obtained for both monochromatic and period pulsed waves, including the effects of attenuation, and diffraction. These results provide the mathematical framework for estimating and compensating the effect of attenuation in the harmonic backscattered wave.

Original languageEnglish (US)
Pages (from-to)919-926
Number of pages8
JournalPhysics Procedia
Issue number1
StatePublished - Jan 1 2010
EventInternational Congress on Ultrasonics, ICU 2009 - Santiago, Chile
Duration: Jan 11 2009Jan 17 2009


  • Acoustics scattering
  • Harmonic imaging
  • Nonlinear acoustics of bubbly liquids

ASJC Scopus subject areas

  • General Physics and Astronomy


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