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High order harmonic balance formulation of free and encapsulated microbubbles
Marie-Christine Pauzin 1, Serge Mensah 1, Bruno Cochelin 1, Jean-Pierre Lefebvre 1
(01/11/2009)

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
1 :  Laboratoire de Mécanique et d'Acoustique (LMA)
CNRS : UPR7051
Physique/Mécanique/Acoustique

Sciences de l'ingénieur/Acoustique
ultrasound – microbubble – ultrasonic contrast agent – nonlinear dynamics
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