, Anatomy and Physiology, vol.26, 2016.
The kidney: From normal development to congenital disease, 2003. ,
The minipig as a practical endourologic model, Journal of Endourology, vol.3, issue.1, pp.85-90, 1989. ,
Branching patterns of the renal artery of the pig, The Anatomical Record, vol.246, issue.2, pp.217-223, 1996. ,
The pig kidney as an endourologic model: Anatomic contribution, Journal of endourology, vol.12, issue.1, pp.45-50, 1998. ,
Pig kidney: Anatomical relationships between the intrarenal arteries and the kidney collecting system. applied study for urological research and surgical training, The Journal of urology, vol.172, issue.5, pp.2077-2081, 2004. ,
Pig kidney: Anatomical relationships between the renal venous arrangement and the kidney collecting system, The Journal of urology, vol.179, issue.4, pp.1627-1630, 2008. ,
The isolated perfused kidney of the pig: New model to evaluate shock wave-induced lesions, Journal of endourology, vol.8, issue.2, pp.105-110, 1994. ,
Ultrasoundinduced tissue ablation: Studies on isolated, perfused porcine liver, Ultrasound in medicine & biology, vol.24, issue.7, pp.1033-1043, 1998. ,
The isolated perfused kidney: An in vitro test system for evaluation of renal tissue damage induced by high-energy shockwaves sources, Journal of endourology, vol.19, issue.7, pp.883-888, 2005. ,
Resuscitation of warm ischaemia predamaged porcine kidneys by fibrinolytic preflush with streptokinase: Reduction of animal experiments, Laboratory animals, vol.45, issue.2, pp.63-69, 2011. ,
Prevalence of kidney stones in the united states, European urology, vol.62, issue.1, pp.160-165, 2012. ,
The first kidney stone, Annals of internal medicine, vol.111, issue.12, pp.1006-1009, 1989. ,
Physiopathology and etiology of stone formation in the kidney and the urinary tract, Pediatric Nephrology, vol.25, issue.5, pp.831-841, 2010. ,
The pathogenesis and treatment of kidney stones, New England Journal of Medicine, vol.327, issue.16, pp.1141-1152, 1992. ,
Kidney stones: Pathophysiology and medical management, The lancet, vol.367, issue.9507, pp.333-344, 2006. ,
Family history and risk of kidney stones, Journal of the American Society of Nephrology, vol.8, issue.10, pp.1568-1573, 1997. ,
, A prospective study of dietary calcium and other nutrients and the risk of symptomatic kidney stones, New England Journal of Medicine, vol.328, issue.12, pp.833-838, 1993.
Body size and risk of kidney stones, Journal of the American Society of Nephrology, vol.9, issue.9, pp.1645-1652, 1998. ,
Obesity, weight gain, and the risk of kidney stones, Jama, vol.293, issue.4, pp.455-462, 2005. ,
Type 2 diabetes increases the risk for uric acid stones, Journal of the American Society of Nephrology, vol.17, issue.7, pp.2026-2033, 2006. ,
Fracture behavior of urinary stones under compression, Journal of biomedical materials research, vol.23, issue.5, pp.507-521, 1989. ,
Fracture mechanics model of stone comminution in eswl and implications for tissue damage, Physics in Medicine & Biology, vol.45, issue.7, p.1923, 2000. ,
Characterization of fracture toughness of renal calculi using a microindentation technique, Journal of materials science letters, vol.12, issue.18, pp.1460-1462, 1993. ,
Begostone-a new stone phantom for shock wave lithotripsy research (l), The Journal of the Acoustical Society of America, vol.112, issue.4, pp.1265-1268, 2002. ,
Ultracal-30 gypsum artificial stones for research on the mechanisms of stone breakage in shock wave lithotripsy, Urological research, vol.33, issue.6, pp.429-434, 2005. ,
A simple method for fabricating artificial kidney stones of different physical properties, Urological research, vol.38, issue.4, pp.315-319, 2010. ,
Diagnosis and initial management of kidney stones, American family physician, vol.63, issue.7, pp.1329-1340, 2001. ,
Unenhanced helical computerized tomography for the evaluation of patients with acute flank pain, The Journal of urology, vol.160, issue.3, pp.679-684, 1998. ,
Ureteral calculi: Diagnostic efficacy of helical ct and implications for treatment of patients, AJR. American journal of roentgenology, vol.172, issue.6, pp.1485-1490, 1999. ,
The value of unenhanced helical computerized tomography in the management of acute flank pain, The Journal of urology, vol.159, issue.3, pp.735-740, 1998. ,
Stone measurement by volumetric three-dimensional computed tomography for predicting the outcome after extracorporeal shock wave lithotripsy, BJU international, vol.103, issue.4, pp.524-528, 2009. ,
New and evolving concepts in the imaging and management of urolithiasis: Urologists' perspective, Radiographics, vol.30, issue.3, pp.603-623, 2010. ,
Ureteral calculi in patients with flank pain: Correlation of plain radiography with unenhanced helical ct, Radiology, vol.204, issue.1, pp.27-31, 1997. ,
Renal colic: Comparison of spiral ct, us and ivu in the detection of ureteral calculi, European radiology, vol.8, issue.2, pp.212-217, 1998. ,
Color doppler twinkling artifact in hyperechoic regions, Radiology, vol.199, issue.1, pp.269-271, 1996. ,
Characterization of urinary calculi: In vitro study of" twinkling artifact" revealed by color-flow sonography, AJR. American journal of roentgenology, vol.171, pp.1055-1060, 1998. ,
Evidence for trapped surface bubbles as the cause for the twinkling artifact in ultrasound imaging, Ultrasound in medicine & biology, vol.39, issue.6, pp.1026-1038, 2013. ,
The usefulness of ultrasound colour-doppler twinkling artefact for detecting urolithiasis compared with low dose nonenhanced computerized tomography, Ultrasound in medicine & biology, vol.38, issue.7, pp.1180-1187, 2012. ,
Kidney stones, BMJ: British Medical Journal, vol.328, issue.7453, p.1420, 2004. ,
Ureteral stones clinical guidelines panel summary report on the management of ureteral calculi, The Journal of urology, vol.158, issue.5, pp.1915-1921, 1997. ,
Ureteroscopic laser lithotripsy: A review of dusting vs fragmentation with extraction, Journal of endourology, vol.32, issue.1, pp.1-6, 2018. ,
Holmium: Yag laser lithotripsy for upper urinary tract calculi in 598 patients, The Journal of urology, vol.167, issue.1, pp.31-34, 2002. ,
Flexible ureteroscopy and laser lithotripsy for multiple unilateral intrarenal stones, European urology, vol.55, issue.5, pp.1190-1197, 2009. ,
Flexible ureteroscopy and laser lithotripsy for stones> 2 cm: A systematic review and meta-analysis, Journal of Endourology, vol.26, issue.10, pp.1257-1263, 2012. ,
A review study to evaluate holmium: Yag laser lithotripsy with flexible ureteroscopy in patients on ongoing oral anticoagulant therapy, Lasers in medical science, vol.32, issue.7, pp.1615-1619, 2017. ,
Percutaneous nephrolithotomy with ultrasonography-guided renal access: Experience from over 300 cases, BJU international, vol.96, issue.6, pp.875-878, 2005. ,
Percutaneous nephrolithotomy and its legacy, European urology, vol.47, issue.1, pp.22-28, 2005. ,
First clinical experience with extracorporeally induced destruction of kidney stones by shock waves, The Journal of urology, vol.127, issue.3, pp.417-420, 1982. ,
Current management of urolithiasis: Progress or regress?, Journal of endourology, vol.16, issue.5, pp.281-288, 2002. ,
Improving the lens design and performance of a contemporary electromagnetic shock wave lithotripter, Proceedings of the National Academy of Sciences, pp.201-319, 2014. ,
The physics of shock wave lithotripsy, vol.1, pp.529-558, 2007. ,
Piezoelectric electronically focused shock wave generator, The Journal of the Acoustical Society of America, vol.92, issue.4, pp.2292-2292, 1992. ,
DOI : 10.1121/1.405133
URL : https://asa.scitation.org/doi/pdf/10.1121/1.405133
A piezocomposite shock wave generator with electronic focusing capability: Application for producing cavitation-induced lesions in rabbit liver, Ultrasound in Medicine and Biology, vol.23, issue.1, pp.107-115, 1997. ,
Time reversal of ultrasonic fields. i. basic principles, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.39, issue.5, pp.555-566, 1992. ,
Self focusing in inhomogeneous media with time reversal acoustic mirrors, Ultrasonics Symposium, 1989. Proceedings., IEEE 1989, pp.681-686, 1989. ,
Time reversal focusing applied to lithotripsy, Ultrasonic imaging, vol.18, issue.2, pp.106-121, 1996. ,
DOI : 10.1177/016173469601800202
Robust acoustic time reversal with highorder multiple scattering, Physical review letters, vol.75, issue.23, p.4206, 1995. ,
DOI : 10.1103/physrevlett.75.4206
Ultrasonic pulse compression with one-bit time reversal through multiple scattering, Journal of applied physics, vol.85, issue.9, pp.6343-6352, 1999. ,
Time-reversal acoustics, Journal of Physics: Conference Series, vol.118, pp.12-13, 2008. ,
DOI : 10.1090/conm/408/07692
Generation of very high pressure pulses with 1-bit time reversal in a solid waveguide, The Journal of the Acoustical Society of America, vol.110, issue.6, pp.2849-2857, 2001. ,
Ultrasound shock wave generator with one-bit time reversal in a dispersive medium, application to lithotripsy, Applied physics letters, vol.80, issue.5, pp.897-899, 2002. ,
Time reversal kaleidoscope: A smart transducer for three-dimensional ultrasonic imaging, Applied physics letters, vol.84, issue.19, pp.3879-3881, 2004. ,
, Building three-dimensional images using a time-reversal chaotic cavity, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.52, issue.9, pp.1489-1497, 2005.
Metamaterial bricks and quantization of meta-surfaces, Nature Communications, vol.8, issue.14608, 2017. ,
A multivariate analysis of risk factors associated with subcapsular hematoma formation following electromagnetic shock wave lithotripsy, The Journal of urology, vol.172, issue.6, pp.2271-2274, 2004. ,
High strain rate testing of kidney stones, Journal of Materials Science: Materials in Medicine, vol.15, issue.5, pp.613-617, 2004. ,
Finite difference predictions of p-sv wave propagation inside submerged solids. ii. effect of geometry, The Journal of the Acoustical Society of America, vol.102, issue.4, pp.2138-2145, 1997. ,
Dynamic photoelastic study of the transient stress field in solids during shock wave lithotripsy, The Journal of the Acoustical Society of America, vol.109, issue.3, pp.1226-1239, 2001. ,
The mechanisms of stone fragmentation in eswl, Ultrasound in medicine & biology, vol.27, pp.683-693, 2001. ,
Modeling elastic wave propagation in kidney stones with application to shock wave lithotripsy, The Journal of the Acoustical Society of America, vol.118, issue.4, pp.2667-2676, 2005. ,
A mechanistic analysis of stone fracture in lithotripsy, The Journal of the Acoustical Society of America, vol.121, issue.2, pp.1190-1202, 2007. ,
The first clinical results of "wide-focus and low-pressure" eswl, Ultrasound in medicine & biology, vol.28, issue.6, pp.769-774, 2002. ,
Comparative studies of extracorporeal shock wave lithotripsy by dornier hm3, edap lt 01 and sonolith 2000 devices, The Journal of urology, vol.146, issue.2, pp.294-297, 1991. ,
Cavitation microjets as a contributory mechanism for renal calculi disintegration in eswl, The Journal of urology, vol.140, issue.6, pp.1587-1590, 1988. ,
A theoretical study of cavitation generated by an extracorporeal shock wave lithotripter, The Journal of the Acoustical Society of America, vol.86, issue.1, pp.215-227, 1989. ,
The role of stress waves and cavitation in stone comminution in shock wave lithotripsy, Ultrasound in medicine & biology, vol.28, issue.5, pp.661-671, 2002. ,
Controlled cavitation to augment swl stone comminution: Mechanistic insights in vitro, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.60, issue.2, pp.301-309, 2013. ,
Cavitation bubble cluster activity in the breakage of kidney stones by lithotripter shockwaves, Journal of endourology, vol.17, issue.7, pp.435-446, 2003. ,
Effect of stone motion on in vitro comminution efficiency of storz modulith slx, Journal of endourology, vol.18, issue.7, pp.629-633, 2004. ,
Real-time target tracking applied to improve fragmentation of renal stones in extra-corporeal lithotripsy, Machine Vision and Applications, vol.11, pp.138-144, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-01825429
In vitro study of ultrasound based real-time tracking of renal stones for shock wave lithotripsy: Part 1, The Journal of urology, vol.166, issue.1, pp.28-32, 2001. ,
In vitro study of ultrasound based real-time tracking for renal stones in shock wave lithotripsy: Part ii-a simulated animal experiment, The Journal of urology, vol.167, issue.6, pp.2594-2597, 2002. ,
ultrasonic stars" for time-reversal focusing using induced cavitation bubbles, Applied physics letters, vol.88, issue.3, pp.34-102, 2006. ,
The use of resonant scattering to identify stone fracture in shock wave lithotripsy, The Journal of the Acoustical Society of America, vol.121, issue.1, pp.41-47, 2007. ,
Initial experience using a new type extracorporeal lithotripter with an antimisshot control device, The Journal of lithotripsy & stone disease, vol.3, issue.2, pp.141-146, 1991. ,
Side effects of extracorporeal shock-wave exposure in patients treated by extracorporeal shock-wave lithotripsy for upper urinary tract stone, European urology, vol.12, pp.308-313, 1986. ,
The role of lithotripsy and its side effects, The Journal of urology, vol.141, issue.3, pp.793-797, 1989. ,
Effect of medical management and residual fragments on recurrent stone formation following shock wave lithotripsy, The Journal of urology, vol.153, issue.1, pp.27-33, 1995. ,
Renal trauma and the risk of long-term complications in shock wave lithotripsy, Nephron, vol.78, issue.1, pp.1-8, 1998. ,
Hypertension following extracorporeal shock wave lithotripsy, The Journal of Urology, vol.137, issue.6, p.142, 1987. ,
Mechanical haemolysis in shock wave lithotripsy (swl): I. analysis of cell deformation due to swl flowfields, Physics in Medicine & Biology, vol.46, issue.2, p.413, 2001. ,
Mechanical haemolysis in shock wave lithotripsy (swl): Ii. in vitro cell lysis due to shear, Physics in Medicine & Biology, vol.46, issue.4, p.1245, 2001. ,
In vitro study of the mechanical effects of shock-wave lithotripsy, Ultrasound in Medicine and Biology, vol.23, issue.7, pp.1107-1122, 1997. ,
Biological effects of shock waves: Cavitation by shock waves in piglet liver, Ultrasound in Medicine and Biology, vol.16, issue.5, pp.467-472, 1990. ,
A test for cavitation as a mechanism for intestinal hemorrhage in mice exposed to a piezoelectric lithotripter, Ultrasound in Medicine and Biology, vol.22, issue.4, pp.493-496, 1996. ,
Cell damage by lithotripter shock waves at high pressure to preclude cavitation, Ultrasound in medicine & biology, vol.25, issue.9, pp.1445-1449, 1999. ,
Shockwave lithotripsy: Dose-related effects on renal structure, hemodynamics, and tubular function, Journal of endourology, vol.19, issue.1, pp.90-101, 2005. ,
The effect of discharge voltage on renal injury and impairment caused by lithotripsy in the pig, Journal of the American Society of Nephrology, vol.11, issue.2, pp.310-318, 2000. ,
Treatment protocols to reduce renal injury during shock wave lithotripsy, Current opinion in urology, vol.19, issue.2, p.192, 2009. ,
Renal injury during shock wave lithotripsy is significantly reduced by slowing the rate of shock wave delivery, BJU international, vol.100, issue.3, pp.624-628, 2007. ,
Effect of firing rate on the performance of shock wave lithotriptors, BJU international, vol.102, issue.11, pp.1681-1686, 2008. ,
Fission of collapsing cavitation bubbles, Journal of Fluid Mechanics, vol.472, pp.153-166, 2002. ,
Bubble proliferation in the cavitation field of a shock wave lithotripter, The Journal of the Acoustical Society of America, vol.130, issue.2, pp.87-93, 2011. ,
Effect of overpressure and pulse repetition frequency on cavitation in shock wave lithotripsy, The Journal of the Acoustical Society of America, vol.112, issue.3, pp.1183-1195, 2002. ,
Removal of residual nuclei following a cavitation event using lowamplitude ultrasound, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.61, issue.10, pp.1619-1626, 2014. ,
Removal of residual nuclei following a cavitation event: A parametric study, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.62, issue.9, pp.1605-1614, 2015. ,
Prospective, randomized trial comparing shock wave lithotripsy and ureteroscopy for lower pole caliceal calculi 1 cm or less, The Journal of urology, vol.173, issue.6, 2005. ,
Shock wave lithotripsy correlates with stone density on preoperative computerized tomography, The Journal of urology, vol.178, issue.3, pp.912-915, 2007. ,
Shock wave lithotripsy success for renal stones based on patient and stone computed tomography characteristics, Urology, vol.70, issue.6, pp.1043-1046, 2007. ,
Supersonic shear imaging: A new technique for soft tissue elasticity mapping, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.51, issue.4, pp.396-409, 2004. ,
Quantitative assessment of breast lesion viscoelasticity: Initial clinical results using supersonic shear imaging, Ultrasound in medicine & biology, vol.34, issue.9, pp.1373-1386, 2008. ,
Viscoelastic and anisotropic mechanical properties of in vivo muscle tissue assessed by supersonic shear imaging, Ultrasound in medicine & biology, vol.36, pp.789-801, 2010. ,
Ureteroscopic ultrasound technology to size kidney stone fragments: Proof of principle using a miniaturized probe in a porcine model, Journal of endourology, vol.24, issue.6, pp.939-942, 2010. ,
Controlled ultrasound tissue erosion, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.51, issue.6, pp.726-736, 2004. ,
Controlled ultrasound tissue erosion: The role of dynamic interaction between insonation and microbubble activity, The Journal of the Acoustical Society of America, vol.117, issue.1, pp.424-435, 2005. ,
Imaging feedback of tissue liquefaction (histotripsy) in ultrasound surgery, Ultrasonics Symposium, vol.3, pp.1732-1734, 2005. ,
A new strategy to enhance cavitational tissue erosion using a high-intensity, initiating sequence, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.53, issue.8, pp.1412-1424, 2006. ,
Refining histotripsy: Defining the parameter space for the creation of nonthermal lesions with high intensity, pulsed focused ultrasound of the in vitro kidney, The Journal of urology, vol.178, issue.2, pp.672-676, 2007. ,
Histotripsy methods in mechanical disintegration of tissue: Towards clinical applications, International journal of hyperthermia, vol.31, issue.2, pp.145-162, 2015. ,
Probability of cavitation for single ultrasound pulses applied to tissues and tissue-mimicking materials, Ultrasound in medicine & biology, vol.39, issue.3, pp.449-465, 2013. ,
Cavitation clouds created by shock scattering from bubbles during histotripsy, The Journal of the Acoustical Society of America, vol.130, issue.4, pp.1888-1898, 2011. ,
DOI : 10.1121/1.3625239
URL : http://europepmc.org/articles/pmc3206907?pdf=render
In vitro and in vivo enhancement of sonodynamically active cavitation by second-harmonic superimposition, The Journal of the Acoustical Society of America, vol.101, issue.1, pp.569-577, 1997. ,
Histotripsy beyond the intrinsic cavitation threshold using very short ultrasound pulses: Microtripsy, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.61, pp.251-265, 2014. ,
DOI : 10.1109/tuffc.2014.6722611
URL : http://europepmc.org/articles/pmc3966303?pdf=render
Noninvasive thrombolysis using histotripsy beyond the intrinsic threshold (microtripsy), IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.62, pp.1342-1355, 2015. ,
DOI : 10.1109/tuffc.2015.007016
URL : http://europepmc.org/articles/pmc4528908?pdf=render
Dual-beam histotripsy: A low-frequency pump enabling a high-frequency probe for precise lesion formation, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.61, issue.2, pp.325-340, 2014. ,
Cloud cavitation control for lithotripsy using high intensity focused ultrasound, Ultrasound in medicine & biology, vol.32, issue.9, pp.1383-1397, 2006. ,
High intensity focused ultrasound lithotripsy with cavitating microbubbles, Medical & biological engineering & computing, vol.47, issue.8, pp.851-860, 2009. ,
Removal of residual cavitation nuclei to enhance histotripsy erosion of model urinary stones, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.62, issue.5, pp.896-904, 2015. ,
Novel ultrasound method to reposition kidney stones, Urological research, vol.38, issue.6, pp.491-495, 2010. ,
Focused ultrasound to expel calculi from the kidney, The Journal of urology, vol.187, issue.2, pp.739-743, 2012. ,
First in human clinical trial of ultrasonic propulsion of kidney stones, The Journal of urology, vol.195, issue.4, pp.956-964, 2016. ,
Fragmentation of urinary calculi in vitro by burst wave lithotripsy, The Journal of urology, vol.193, issue.1, pp.338-344, 2015. ,
Detection and evaluation of renal injury in burst wave lithotripsy using ultrasound and magnetic resonance imaging, Journal of endourology, vol.31, issue.8, pp.786-792, 2017. ,
Combined burst wave lithotripsy and ultrasonic propulsion for improved urinary stone fragmentation, Journal of endourology, vol.32, issue.4, pp.344-349, 2018. ,
Modeling and experimental analysis of acoustic cavitation bubbles for burst wave lithotripsy, Journal of Physics: Conference Series, vol.656, pp.12-027, 2015. ,
Design and characterization of a research electrohydraulic lithotripter patterned after the dornier hm3, Review of Scientific Instruments, vol.71, issue.6, pp.2514-2525, 2000. ,
Comparison of electrohydraulic lithotripters with rigid and pressure-release ellipsoidal reflectors. i. acoustic fields, The Journal of the Acoustical Society of America, vol.104, issue.4, pp.2517-2524, 1998. ,
, Comparison of electrohydraulic lithotripters with rigid and pressurerelease ellipsoidal reflectors. ii. cavitation fields, The Journal of the Acoustical Society of America, vol.106, issue.2, pp.1149-1160, 1999.
Shock-wave-induced jetting of micron-size bubbles, Physical review letters, vol.90, issue.21, pp.214-502, 2003. ,
Histotripsy erosion of model urinary calculi, Journal of Endourology, vol.25, issue.2, pp.341-344, 2011. ,
, Ieee standard on piezoelectricity, 1988.
Finite element formulatons of structural acoustics problems, Computers & Structures, vol.65, issue.3, pp.307-321, 1997. ,
Fluid-structure dynamic interaction and wave forces. an introduction to numerical treatment, International Journal for Numerical Methods in Engineering, vol.13, issue.1, pp.1-16, 1978. ,
Automated solution of differential equations by the finite element method: The FEniCS book, vol.84, 2012. ,
, The fenics project version 1.5, vol.3, 2015.
Introduction to finite elements in engineering, NJ, vol.2, 2002. ,
,
PETSc Web page, 2016. ,
Hypre: A library of high performance preconditioners", in Preconditioners, Lecture Notes in Computer Science, pp.632-641, 2002. ,
Identification of elastic, dielectric, and piezoelectric constants in piezoceramic disks, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.57, issue.12, pp.2772-2783, 2010. ,
Experiment on yield strength of pzt-4 piezoelectric generating column, Applied Mechanics and Materials, Trans Tech Publ, vol.441, pp.62-65, 2014. ,
Automated derivation of the adjoint of high-level transient finite element programs, SIAM Journal on Scientific Computing, vol.35, issue.4, pp.369-393, 2013. ,
A framework for automated pde-constrained optimisation, 2013. ,
Algorithm 799: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation, ACM Transactions on Mathematical Software (TOMS), vol.26, issue.1, pp.19-45, 2000. ,
Dependence of particle volume fraction on sound velocity and attenuation of epdm composites, Ultrasonics, vol.46, issue.2, pp.177-183, 2007. ,
Design of efficient, broadband single-element (20-80 mhz) ultrasonic transducers for medical imaging applications, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.50, issue.11, pp.1548-1557, 2003. ,
Rapid prototyping fabrication of focused ultrasound transducers, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.61, pp.1559-1574, 2014. ,
Elliptically curved acoustic lens for emitting strongly focused finite-amplitude beams: Application of the spheroidal beam equation model to the theoretical prediction, Acoustical science and technology, vol.26, issue.3, pp.279-284, 2005. ,
Shape optimization of an acoustic horn, Computer methods in applied mechanics and engineering, vol.192, issue.11, pp.1533-1571, 2003. ,
Shape optimization of acoustic lenses for underwater imaging, Journal of Mechanical Science and Technology, vol.30, issue.10, pp.4633-4644, 2016. ,
Displacement/pressure based mixed finite element formulations for acoustic fluid-structure interaction problems, International Journal for Numerical Methods in Engineering, vol.40, issue.11, 1997. ,
Topology optimization of acousticstructure interaction problems using a mixed finite element formulation, International journal for numerical methods in engineering, vol.70, issue.9, pp.1049-1075, 2007. ,
Parametric shape optimization of lens-focused piezoelectric ultrasound transducers, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol.65, issue.5, pp.844-850, 2018. ,
A perfectly matched layer for the absorption of electromagnetic waves, Journal of computational physics, vol.114, issue.2, pp.185-200, 1994. ,
Complex coordinate stretching as a generalized absorbing boundary condition, Microwave and Optical Technology Letters, vol.15, pp.363-369, 1997. ,
Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: Theory and finite-element implementation, Computer methods in applied mechanics and engineering, vol.192, issue.11, pp.1337-1375, 2003. ,
Finite element method for piezoelectric vibration, International journal for numerical methods in engineering, vol.2, issue.2, pp.151-157, 1970. ,
A level-set method for shape optimization, Comptes Rendus Mathematique, vol.334, issue.12, pp.1125-1130, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-01336301
, The fenics project version 1.5, vol.3, pp.9-23, 2015.
Finite element procedures. Klaus-Jurgen Bathe, 2006. ,
Scipy: Open source scientific tools for python, 2014. ,
Therapeutic efficacy of the combination of doxorubicin-loaded liposomes with inertial cavitation generated by confocal ultrasound in at2 dunning rat tumour model, Journal of drug targeting, vol.22, issue.8, pp.688-697, 2014. ,
Use of a dual-pulse lithotripter to generate a localized and intensified cavitation field, The Journal of the Acoustical Society of America, vol.110, issue.3, pp.1685-1695, 2001. ,
Device and method for producing high-pressure ultrasonic pulses, US Patent, vol.7, 2007. ,
Numerical study of a confocal ultrasonic setup for cavitation creation, The Journal of the Acoustical Society of America, vol.141, issue.3, pp.1953-1961, 2017. ,
Interaction of lithotripter-generated shock waves with air bubbles, The Journal of the Acoustical Society of America, vol.93, issue.5, pp.2496-2509, 1993. ,
Shock wave interaction with laser-generated single bubbles, Physical review letters, vol.95, issue.3, pp.34-501, 2005. ,
Interaction of lithotripter shockwaves with single inertial cavitation bubbles, Journal of fluid mechanics, vol.593, pp.33-56, 2007. ,
Interaction of a strong shockwave with a gas bubble in a liquid medium: A numerical study, Journal of Fluid Mechanics, vol.701, pp.59-97, 2012. ,
Shock-induced collapse of a gas bubble in shockwave lithotripsy, The Journal of the Acoustical Society of America, vol.124, issue.4, 2008. ,
Cavitation cluster dynamics in shock-wave lithotripsy: Part 1. free field, Ultrasound in medicine & biology, vol.31, issue.6, pp.827-839, 2005. ,
Interaction between shock wave and single inertial bubbles near an elastic boundary, Physical Review E, vol.74, issue.4, pp.46-304, 2006. ,