Analysis of the Rayleigh-Plesset equation with chirp excitation

Euan Barlow; Anthony Mulholland; Anthony Gachagan; Alison Nordon; Kenneth G. MacPherson

doi:10.1093/imamat/hxn039

Analysis of the Rayleigh-Plesset equation with chirp excitation

Euan Barlow
, Anthony Mulholland
, Anthony Gachagan
, Alison Nordon
, Kenneth G. MacPherson

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Journal	IMA Journal of Applied Mathematics
DOIs	https://doi.org/10.1093/imamat/hxn039
Publication status	Published - Feb 2009

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@article{0f8620ea1a1545ebae98da00f3b45732,

title = "Analysis of the Rayleigh-Plesset equation with chirp excitation",

abstract = "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.",

author = "Euan Barlow and Anthony Mulholland and Anthony Gachagan and Alison Nordon and MacPherson, \{Kenneth G.\}",

year = "2009",

month = feb,

doi = "10.1093/imamat/hxn039",

language = "English",

journal = "IMA Journal of Applied Mathematics",

issn = "0272-4960",

publisher = "Oxford University Press",

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TY - JOUR

T1 - Analysis of the Rayleigh-Plesset equation with chirp excitation

AU - Barlow, Euan

AU - Mulholland, Anthony

AU - Gachagan, Anthony

AU - Nordon, Alison

AU - MacPherson, Kenneth G.

PY - 2009/2

Y1 - 2009/2

N2 - 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.

AB - 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.

UR - https://pureportal-staging.strath.ac.uk/en/publications/5f7068bc-4a55-45f5-b3e7-099793902064

U2 - 10.1093/imamat/hxn039

DO - 10.1093/imamat/hxn039

M3 - Article (Academic Journal)

SN - 0272-4960

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

ER -

Analysis of the Rayleigh-Plesset equation with chirp excitation

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