Research focus
Numerical simulations examine oscillations and deformations of microbubble shells, with visualizations of their surface dynamics.
Microbubble surface modes appear when contrast agents are insonified with specific ultrasound pulses. In this case, the radius becomes a space-dependent function which can be expanded on the basis of spherical harmonics describing the spatial vibrational modes of the bubble. The radial symmetry breaking, which appears through a Modulational Instability (MI), is typical of many extended nonlinear systems subjected to an external driving.
Here we present a mechanical analogue of bubble pulsations, consisting in a macroscopic ring of coupled oscillators driven by parametric forcing. Depending on the amplitude and the frequency of the driving, the mechanical ring presents a parametric instability leading to surface modes and localized modes oscillating at subharmonics of the parametric excitation. Bubbles are used as contrast agent in medical ultrasound imaging and to carry some drug to special locations. The perspective of this analysis is to define practical optimized ultrasound pulses exciting the bubble and leading to drug delivery applications.
Numerical solutions:
Localized mode (ILM):
This video shows the nonlinear dynamics of a coupled pendulum round chain. A localized mode (a breather) is observed in the numerical solution for a parametrical exitation of 1.95 $f_0$ of the small amplitude pendulum oscilation (f0).
Kink:
This video shows the nonlinear dynamics of a coupled pendulum round chain. A "kink" is observed in the numerical solution for a parametrical exitation of 2.7 of the small amplitude pendulum oscilation (f0).
Surface mode (m=2)
This video shows the nonlinear dynamics of a coupled pendulum round chain. The second surface mode Ym=2 is observed in the numerical solution for a parametrical exitation of 2.03 of the small amplitude pendulum oscilation (f0).
Surface mode (m=3)
This video shows the nonlinear dynamics of a coupled pendulum round chain. The third surface mode Ym=3 is observed in the numerical solution for a parametrical exitation of 2.07 of the small amplitude pendulum oscilation (f0).
Surface mode (m=4)
This video shows the nonlinear dynamics of a coupled pendulum round chain. A surface mode Ym=4 is observed in the numerical solution for a parametrical exitation of 2.09 of the small amplitude pendulum oscilation (f0).
Related publications
- 2015 · Journal article
Macroscopic acousto-mechanical analogy of a microbubble
The Journal of the Acoustical Society of America, 138 (6), 3600-3606, 2015
- 2013 · Journal article
Modeling acoustically driven microbubbles by macroscopic discrete-mechanical analogues
Modelling in Science Education and Learning, 6 (7), 75-87, 2013
Related conference contributions (8)
- 2016 · Conference contribution
Localized nonlinear modes in microbubbles under the action of ultrasound
IUS 2016: IEEE International Ultrasonics Symposium. Tours, France. 18-21 September, Oral, 2016
- 2014 · Conference contribution
Lattice of nonlinear coupled oscillators: An acousto-mechanical analogy of gas microbubble
IUS 2014: IEEE International Ultrasonics Symposium. Chicago, USA. 3 - 6 September, Oral, 2014
- 2014 · Conference contribution
Analogie macroscopique et acousto-mécanique d’une microbulle d’agent de contraste
CFA 2014: 12ème Congrès Français d'Acoustique. Potiers, France. 22 - 25 April, Oral, 2014
- 2013 · Conference contribution
Vibration modes in a pendulums ring: analogy with gas microbubbles surface modes
IUS 2013: IEEE International Ultrasonics Symposium. Prague, Czech Republic. 21-25 July, Oral, 2013
- 2012 · Conference contribution
Spatio-temporal dynamics in a ring of coupled pendula: analogy with bubbles
LENCOS'12: Localized Excitations in Nonlinear Complex Systems, Seville, Spain. 9 - 12 July, Oral, 2012
- 2012 · Conference contribution
Modeling acoustically driven microbubbles by macroscopic discrete-mechanical analogues
III Jornadas de Modelización Matemática. Gandia, Spain. 7 - 8 June, Oral, 2012
- 2011 · Conference contribution
Modulational instability and localized modes for ultrasound contrast microbubbles surface oscillations
IUS 2011: IEEE International Ultrasonics Symposium. Orlando, Florida, USA. 18-21 October, Oral, 2011
- 2011 · Conference contribution
Modulational instability of microbubbles surface modes
ICU 2011: International Congress on Ultrasonics. Gdansk, Poland. 5 - 8 September, Oral, 2011
More publications in this research area
- 2022 · Journal article
Modelling the acoustic field generated by vibrating surfaces
Modelling in Science Education and Learning, 15 (2), 5-23, 2022
- 2021 · Book chapter
The Transfer Matrix Method in Acoustics
In: Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media: From Fundamentals to Industrial Applications, Springer, pp. 103 - 164, 2021
- 2021 · Book chapter
Acoustic Metamaterial Absorbers
In: Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media: From Fundamentals to Industrial Applications, Springer, pp. 167 - 204, 2021
- 2019 · Journal article
Efecto del método de definición de las propiedades acústicas de cráneo humano en la propagación focalizada de ultrasonidos
Revista de Acústica, 50 (1-2), 22-25, 2019
- 2019 · Journal article
Modelización de cerámicas y transductores piezoeléctricos vibrando en espesor mediante matrices de transferencia
Modelling in Science Education and Learning, 12 (1), 87-109, 2019
- 2018 · Book chapter
Kinks in a Lattice of Repelling Particles
In: Nonlinear Systems, Vol. 2: Nonlinear Phenomena in Biology, Optics and Condensed Matter, Springer International Publishing, pp. 261-282, 2018
- 2017 · Journal article
Nonlinear dispersive waves in repulsive lattices
Physical Review E, 96 (1), 012208, 2017
- 2017 · Journal article
Dynamic Nonlinear Focal Shift in Amplitude Modulated Moderately Focused Acoustic Beams
Ultrasonics, 75, 106-114, 2017
- 2016 · Journal article
Time-Domain Simulation of Ultrasound Propagation in a Tissue-Like Medium Based on the Resolution of the Nonlinear Acoustic Constitutive Relations
Acta Acustica united with Acustica, 102 (5), 876--892, 2016
2015 · Edited bookQuodons in Mica: Nonlinear Localized Travelling Excitations in Crystals
Springer International Publishing, 2015
- 2015 · Book chapter
A supersonic crowdion in mica
In: Quodons in Mica: Nonlinear Localized Travelling Excitations in Crystals, Springer International Publishing, pp. 69-96, 2015
- 2015 · Journal article
Ultradiscrete kinks with supersonic speed in a layered crystal with realistic potentials
Physical Review E, 91 (2), 022912, 2015
- 2014 · Book chapter
Supersonic Kinks in Coulomb Lattices
In: Localized Excitations in Nonlinear Complex Systems, Springer International Publishing, pp. 317-331, 2014
- 2014 · Book chapter
Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles
In: Localized Excitations in Nonlinear Complex Systems, Springer International Publishing, pp. 251--262, 2014
- 2013 · Journal article
Simulación numérica de una cerámica piezoeléctrica
Modelling in Science Education and Learning, 6 (12), 131--143, 2013
- 2013 · Journal article
Moving excitations In cation lattices
Ukranian Journal of Physics, 58 (7), 646-656, 2013
- 2012 · Journal article
Ultrasonic evaluation of the hydration degree of the orange peel
Postharvest Biology and Technology, 67, 130-137, 2012
- 2009 · Degree dissertation
Simulación de tejidos vegetales mediante FDTD
Universidad Politécnica de Valencia, 2009
Related conference contributions (33)
- 2016 · Conference contribution
Second harmonic generation in a chain of magnetic pendulums
No Lineal 2016: International conference on nonlinear mathematics and physics. Seville, Spain. 7 - 10 June, Oral, 2016
- 2016 · Conference contribution
Acoustic gap solitons in layered media
No Lineal 2016: International conference on nonlinear mathematics and physics. Seville, Spain. 7 - 10 June, Oral, 2016
- 2016 · Conference contribution
Toy models for Nonlinear Acoustics
Invited speech at INSA Centre Val de Loire, Blois, France. February 25th, Invited, 2016
- 2015 · Conference contribution
Ultrasonic evaluation of the hydration degree of the orange peel
Fruit Structure 2015. Angers, France. 30 November - 01 December, Oral, 2015
- 2015 · Conference contribution
Surface acoustic waves for the characterization of fruit
Fruit Structure 2015. Angers, France. 30 November - 01 December, Poster, 2015
- 2015 · Conference contribution
Time-domain simulation of constitutive relations for nonlinear acoustics including relaxation for frequency power law attenuation media modelling
20th ISNA: 20th International Symposium on Nonlinear Acoustics. Lyon, France. June 19 - July 3rd,, Oral, 2015
- 2015 · Conference contribution
Efficient Second Harmonic Generation of Narrow Beams in 2D Sonic Crystals
Phononics 2015: 3rd International Conference on Phononic Crystals/Metamaterials, Phonon Transport and Phonon Coupling. Paris, France. May 31-June 5, Oral, 2015
- 2014 · Conference contribution
Nonlinear Acoustic Waves in Periodic Media
7th Forum Acusticum 2014. Krakow, Poland. 7 September, Oral, 2014
- 2013 · Conference contribution
Ondas acústicas de amplitud finita en medios con relajación: aplicación a la modelización de tejidos biológicos
Tecniacústica 2013: 44º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Valladolid, Spain. 2 - 4 October, Oral, 2013
- 2013 · Conference contribution
Estudio paramétrico de la propagación transcranial de un haz ultrasónico para la apertura de la barrera hematoencefálica
Tecniacústica 2013: 44º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Valladolid, Spain. 2 - 4 October, Oral, 2013
- 2013 · Conference contribution
A crowdion in mica. Between K40 recoil and transmission sputtering
Quodons in Mica: Nonlinear Localized Travelling Excitations in Crystals (QiM 2013). Altea, Spain. 18-22 September, Invited, 2013
- 2013 · Conference contribution
Simulación numérica con FDTD de una cerámica piezoeléctrica
23º Encuentro Ibérico de Enseñanza de la Física. Valenca, Spain. 16 July, Poster, 2013
- 2013 · Conference contribution
Parametric study of transcranial focused ultrasound propagation for blood–brain barrier opening
RSEF 2013: XXXIV Reunión Bienal de la Real Sociedad Española de Física. Valencia, Spain. 15 - 19 July, Poster, 2013
- 2013 · Conference contribution
Kinks supersónicos en redes repulsivas
RSEF 2013: XXXIV Reunión Bienal de la Real Sociedad Española de Física. Valencia, Spain. 15 - 19 July, Oral, 2013
- 2013 · Conference contribution
Interacción Coulombiana, estorninos y Angry Birds
23º Encuentro Ibérico de Enseñanza de la Física. Valenca, Spain. 16 July, Poster, 2013
- 2013 · Conference contribution
Focalización de ondas acústicas mediante una lente formada por dispersores toroidales rígidos
RSEF 2013: XXXIV Reunión Bienal de la Real Sociedad Española de Física. Valencia, Spain. 15 - 19 July, Poster, 2013
- 2013 · Conference contribution
Parametric study of transcranial focused ultrasound propagation for blood–brain barrier opening
ESUCB 2013: 5th European Symposium on Ultrasonic Characterization of Bone. Granada, Spain. 7-10 May, Oral, 2013
- 2013 · Conference contribution
Effect of ZBL potential on kinks in repusive lattices
IV International Symposium on Strong Nonlinear Vibronic and Electronic Interactions in Solids. Tartu, Estonia. 1 - 3 May, Oral, 2013
- 2012 · Conference contribution
Supersonic solitons and kinks in repulsive lattices
Lattice Solitons and Irradiation-Induced Nonlinear Phenomena in Solids. Tartu, Estonia. October 31th - November 2nd, Oral, 2012
- 2012 · Conference contribution
Moving excitations in cation lattices
Problems of theoretical physics (dedicated to the 100th anniversary of Alexander Davydov). Kiev, Ucraine. 8 - 11 October, Invited, 2012
- 2012 · Conference contribution
Simulación numérica de una cerámica piezoeléctrica
III Jornadas de Modelización Matemática. Gandia, Spain. 7 - 8 June, Oral, 2012
- 2011 · Conference contribution
Predicción numérica de ondas acústicas de amplitud finita bajo condiciones de contorno arbitrarias
Tecniacústica 2011: 42º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Cáceres, Spain. 26 - 28 October, Oral, 2011
- 2011 · Conference contribution
Estudio de la propagación no lineal de haces de ultrasonidos focalizados a través del cráneo para la apertura de la barrera hematoencefálica
Tecniacústica 2011: 42º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Cáceres, Spain. 26 - 28 October, Oral, 2011
- 2011 · Conference contribution
Efectos no lineales en la fuerza de radiación generada por haces focalizados de amplitud modulada
Tecniacústica 2011: 42º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Cáceres, Spain. 26 - 28 October, Oral, 2011
- 2011 · Conference contribution
Numerical study of nonlinear, transcranial focused ultrasound wave propagation for blood-brain barrier (BBB) opening
ISTU 2011: 11th International Society for Therapeutic Ultrasound Symposium. New York, USA. 11-13 April, Oral, 2011
- 2011 · Conference contribution
Nonlinear effects in the radiation force generated by amplitude-modulated focused beams
ISTU 2011: 11th International Society for Therapeutic Ultrasound Symposium. New York, USA. 11-13 April, Poster, 2011
- 2010 · Conference contribution
Simulación acústica de tejidos vegetales en coordenadas esféricas mediante FDTD
Tecniacústica 2010: 41º Congreso Español de Acústica y Encuentro Ibérico de Acústica. León, Spain. 13 - 15 October, Oral, 2010
- 2010 · Conference contribution
Nonlinear focal shift in medium Fresnel-number focused acoustic beams
IUS 2010: IEEE International Ultrasonics Symposium. San Diego, USA. 11-14 October, Oral, 2010
- 2010 · Conference contribution
Más allá del foco geométrico en haces focalizados de ultrasonidos
Tecniacústica 2010: 41º Congreso Español de Acústica y Encuentro Ibérico de Acústica. León, Spain. 13 - 15 October, Oral, 2010
- 2010 · Conference contribution
Cálculo de campos acústicos no lineales mediante diferencias finitas en dominio temporal
Tecniacústica 2010: 41º Congreso Español de Acústica y Encuentro Ibérico de Acústica. León, Spain. 13 - 15 October, Oral, 2010
- 2010 · Conference contribution
Beyond the geometrical focus in focused acoustic beams
ICA 2010: 20th International Congress on Acoustics. Sydney, Australia. 23-27 August, Oral, 2010
- 2010 · Conference contribution
FDTD techniques applied to acoustic propagation in vegetable tissue: the elastodynamic behavior of the orange fruit
ICA 2010: 20th International Congress on Acoustics. Sydney, Australia. 23-27 August, Oral, 2010
- 2009 · Conference contribution
Estudio experimental y numérico de la propagación de ultrasonidos en medios heterogéneos
Tecniacústica 2009: 40º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Cádiz, Spain. 23-25 September, Oral, 2009