Fundamental and second-harmonic ultrasound field computation of inhomogeneous nonlinear medium with a generalized angular spectrum method

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 58, Issue 7, 2011, Pages 1366-1376

  Varray, François ^a,b   Ramalli, Alessandro ^a,b   Cachard, Christian ^a   Tortoli, Piero ^b   Basset, Olivier ^a  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HARMONIC ANALYSIS; SIMULATORS; SPECTRUM ANALYSIS; ULTRASONICS;

ANGULAR SPECTRUM METHOD; NON-LINEAR PARAMETERS; NONLINEAR PROPAGATION; SECOND HARMONIC WAVES; SECOND-HARMONIC FIELDS; SPATIAL VARIATIONS; ULTRASOUND FIELDS; ULTRASOUND WAVES;

NONLINEAR EQUATIONS;

ALGORITHM; ARTICLE; ECHOGRAPHY; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; NONLINEAR SYSTEM; REPRODUCIBILITY;

ALGORITHMS; IMAGE PROCESSING, COMPUTER-ASSISTED; NONLINEAR DYNAMICS; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; ULTRASONOGRAPHY;

EID: 79960531650     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2011.1956     Document Type: Article

References (30)

1. M. Averkiou, D. Roundhill, and J. Powers, "A new imaging technique based on the nonlinear properties of tissues," in IEEE Ultrasonics Symp., 1997, vol. 2, pp. 1561-1566.
2. X. Gong, D. Zhang, J. Liu, H. Wang, Y. Yan, and X. Xu, "Study of acoustic nonlinearity parameter imaging methods in reflection mode for biological tissues," J. Acoust. Soc. Am., vol. 116, no. 3, pp. 1819-1825, 2004. (Pubitemid 39202594)
3. J. Wu and J. Tong, "Measurements of the nonlinearity parameter B/A of contrast agents," Ultrasound Med. Biol., vol. 24, no. 3, pp. 153-159, 1998. (Pubitemid 28044909)
4. L. Bjørnø, "Forty years of nonlinear ultrasound," Ultrasonics, vol. 40, no. 1-8, pp. 11-17, 2002. (Pubitemid 34545276)
5. V. Kuznetsov, "Equation of nonlinear acoustics," Sov. Phys. Acoustics, vol. 16, pp. 749-768, 1970.
6. E. Zabolotskaya and R. Khokhlov, "Quasi-plane waves in the nonlinear acoustics of confined beams," Sov. Phys. Acoustics, vol. 15, pp. 35-40, 1969.
7. P. Alais and P. Hennion, "Etude par une mthode de fourier de l'interaction non linaire de deux rayonnements acoustiques dans un milieu absorbant. Cas particulier de l'mission paramtrique," Acustica, vol. 43, no. 1, pp. 1-11, 1979. (in French) (Pubitemid 10442101)
8. P. T. Christopher and K. J. Parker, "New approaches to nonlinear diffractive field propagation," J. Acoust. Soc. Am., vol. 90, no. 1, pp. 488-499, 1991.
9. P. T. Christopher and K. J. Parker, "New approaches to the linear propagation of acoustic fields," J. Acoust. Soc. Am., vol. 90, no. 1, pp. 507-521, 1991.
10. R. J. Zemp, J. Tavakkoli, and R. S. C. Cobbold, "Modeling of nonlinear ultrasound propagation in tissue from array transducers," J. Acoust. Soc. Am., vol. 113, no. 1, pp. 139-152, 2003. (Pubitemid 36105668)
11. J. Berntsen, "Numerical calculations of finite amplitude sound beams," in Frontiers of Nonlinear Acoustics, 12th Int. Symp. Nonlinear Acoustics, 1990, pp. 191-196.
12. Y .-S. Lee and M. F. Hamilton, "Time-domain modeling of pulsed finite-amplitude sound beams," J. Acoust. Soc. Am., vol. 97, no. 2, pp. 906-917, 1995.
13. R. O. Cleveland, M. F. Hamilton, and D. T. Blackstock, "Timedomain modeling of finite-amplitude sound in relaxing fluids," J. Acoust. Soc. Am., vol. 99, no. 6, pp. 3312-3318, 1996. (Pubitemid 26190219)
14. M. M. Voormolen, "Three dimensional harmonic echocardiagraphy," Ph.D. dissertation, Dept. of Biomedical Engineering, Erasmus MC, Rotterdam, The Netherlands, 2007.
15. T. Varslot and G. Taraldsen, "Computer simulation of forward wave propagation in soft tissue," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 52, no. 9, pp. 1473-1482, 2005.
16. T. Varslot and S.-E. Måsøy, "Forward propagation of acoustic pressure pulses in 3D soft biological tissue," Model. Identif. Control, vol. 27, no. 3, pp. 181-200, 2006.
17. X. Yan, "Statistical model of beam distortion by tissue inhomogeneities in tissue harmonic imaging," Ph.D. dissertation, Dept. of Mechanical Engineering, The University of Texas at Austin, Austin, TX, 2004.
18. J. Wojcik, A. Nowicki, P. A. Lewin, P. E. Bloomfield, T. Kujawska, and L. Filipczynski, "Wave envelopes method for description of nonlinear acoustic wave propagation," Ultrasonics, vol. 44, no. 3, pp. 310-329, 2006. (Pubitemid 43963123)
19. S. I. Aanonsen, T. Barkve, J. N. Tjotta, and S. Tjotta, "Distortion and harmonic generation in the nearfield of a finite amplitude sound beam," J. Acoust. Soc. Am., vol. 75, no. 3, pp. 749-768, 1984. (Pubitemid 14582620)
20. M. F. Hamilton and D. T. Blackstock, "On the coefficient of nonlinearity beta in nonlinear acoustics," J. Acoust. Soc. Am., vol. 83, no. 1, pp. 74-77, 1988.
21. S. Dursun, T. Varslot, T. Johansen, B. Angelsen, and H. Torp, "Fast 3D simulation of 2nd harmonic ultrasound field from arbitrary transducer geometries," in IEEE Ultrasonics Symp., 2005, vol. 4, pp. 1964-1967. (Pubitemid 46284990)
22. D. Belgroune, J. F. de Belleval, and H. Djelouah, "Modelling of the ultrasonic field by the angular spectrum method in presence of interface," Ultrasonics, vol. 40, no. 1-8, pp. 297-302, 2002. (Pubitemid 34545322)
23. Y. Du and J. Jensen, "Feasibility of non-linear simulation for Field II using an angular spectrum approach," in IEEE Ultrasonics Symp., 2008, pp. 1314-1317.
24. T. L. Szabo, "Generalized fourier transform diffraction theory for parabolically anisotropic media," J. Acoust. Soc. Am., vol. 63, no. 1, pp. 28-34, 1978.
25. J. Wojcik, "Conservation of energy and absorption in acoustic fields for linear and nonlinear propagation," J. Acoust. Soc. Am., vol. 104, no. 5, pp. 2654-2663, 1998. (Pubitemid 28514009)
26. M. Frigo and S. Johnson, "The design and implementation of fftw3," Proc. IEEE, vol. 93, no. 2, pp. 216-231, 2005. (Pubitemid 40851223)
27. J. A. Jensen and N. B. Svendsen, "Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 39, no. 2, pp. 262-267, 1992.
28. J. A. Jensen, "Field: A program for simulating ultrasound systems," Med. Biol. Eng. Comput., vol. 34, suppl. 1, pp. 351-353, 1996.
29. J. Y. Lu, "Designing limited diffraction beams," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 44, no. 1, pp. 181-193, 1997.
30. P. Tortoli, L. Bassi, E. Boni, A. Dallai, F. Guidi, and S. Ricci, "Ula-op: An advanced open platform for ultrasound research," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 56, no. 10, pp. 2207-2216, 2009.