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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 0272-4960

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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.