High order harmonic balance formulation of free and encapsulated microbubbles

Marie-Christine Pauzin (1) , Serge Mensah (1) , Bruno Cochelin (1) , Jean-Pierre Lefebvre (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

The radial responses of free or encapsulated micro-bubbles excited by a plane wave of large wavelength are governed by NonLinear Ordinary Differential Equa- tions (NL-ODEs). The nonlinear frequency response details the harmonic con- tent of the time response and constitutes the expected outcome of a high order harmonic analysis. In this paper, a high order harmonic balance analysis of the ”RNNP” (bubble), Hoff and Marmottant (contrast agents) models are per- formed with the open-source Manlab

Mots clés: ultrasound; microbubble; ultrasonic contrast agent; nonlinear dynamics

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Marie-Christine Pauzin, Serge Mensah, Bruno Cochelin, Jean-Pierre Lefebvre. High order harmonic balance formulation of free and encapsulated microbubbles. Journal of Sound and Vibration, 2011, 330 (5), pp.987-1004. ⟨10.1016/j.jsv.2010.09.014⟩. ⟨hal-00430105⟩