Analysis of the Rayleigh-Plesset equation with chirp excitation

Barlow, Euan and Mulholland, A.J. and Gachagan, A. and Nordon, A. and MacPherson, Kenneth G. (2009) Analysis of the Rayleigh-Plesset equation with chirp excitation. IMA Journal of Applied Mathematics, 74 (1). pp. 20-34. ISSN 1464-3634 (

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The case of a bubble being insonified by an ultrasonic excitation in the form of a linear chirp is considered here. The dynamical equation of the bubble's motion is solved analytically and compared to a numerical solution. The analytical solution is then used to investigate the problem of maximizing the amplitude of the second harmonic with respect to the various system and signal parameters.


Barlow, Euan ORCID logoORCID:, Mulholland, A.J. ORCID logoORCID:, Gachagan, A. ORCID logoORCID:, Nordon, A. ORCID logoORCID: and MacPherson, Kenneth G.;