Modeling the propagation of nonlinear three-dimensional acoustic beams in inhomogeneous media

Journal of the Acoustical Society of America

Volumn 122, Issue 3, 2007, Pages 1352-1364

  Jing, Yuan ^a   Cleveland, Robin O ^a  

^a BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC FIELDS; ACOUSTIC WAVES; NONLINEAR ANALYSIS; TRANSDUCERS;

NONLINEAR SOUND BEAMS; PHASED ARRAY TRANSDUCERS; THERMOVISCOUS ABSORPTION;

WAVE PROPAGATION;

WATER;

ABSORPTION; ACOUSTICS; ARTICLE; DISPERSION; MODEL; PRIORITY JOURNAL; SOUND;

ACOUSTICS; ALGORITHMS; COMPUTER SIMULATION; EQUIPMENT DESIGN; HUMANS; MODELS, BIOLOGICAL; MODELS, THEORETICAL; NONLINEAR DYNAMICS; PHANTOMS, IMAGING; SOUND; TIME FACTORS;

EID: 35248832201     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2767420     Document Type: Article

References (40)

1. T. G. Muir, " Nonlinear Acoustics: A new Dimension in Underwater Sound., " in Science, Technology and the Modern Navy, edited by, E. I. Salkovitz, (Office of Naval Research, Arlington, VA, 1976), pp. 554-563.
2. K. J. Plotkin, " State of the art of sonic boom modeling., " J. Acoust. Soc. Am. 111 (1), 530-536 (2002).
3. F. A. Duck, " Nonlinear acoustics in diagnostic ultrasound., " Ultrasound Med. Biol. 28 (1), 1-18 (2002).
4. M. R. Bailey, V. A. Khokhlova, O. A. Sapozhnikov, S. G. Kargl, and L. A. Crum, " Physical mechanisms of the therapeutic effect of ultrasound (a review)., " Acoust. Phys. 49 (4), 369-388 (2003).
5. E. A. Zabolotskaya and R. V. Khokhlov, " Quasi-plane waves in the nonlinear acoustics of confined beams., " Sov. Phys. Acoust. 15, 35-40 (1969).
6. V. P. Kuznetsov, " Equations of nonlinear acoustics., " Sov. Phys. Acoust. 16, 467-470 (1971).
7. 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. 75 (3), 749-768 (1984).
8. Y.-S. Lee and M. F. Hamilton, " Time-domain modeling of pulsed finite-amplitude sound beams., " J. Acoust. Soc. Am. 97, 906-917 (1995).
9. M. A. Averkiou and M. F. Hamilton, " Nonlinear distortion of short pulses radiated by plane and focused circular pistons., " J. Acoust. Soc. Am. 102, 2539-2548 (1997).
10. V. F. Humphrey, " Nonlinear propagation in ultrasonic fields: Measurements modeling and harmonic imaging., " Ultrasonics 38, 267-272 (2002).
11. P. Blanc-Benon, B. Lipkens, L. Dallois, M. F. Hamilton, and D. T. Blackstock, " Propagation of finite amplitude sound through turbulence: Modeling with geometrical acoustics and the parabolic approximation., " J. Acoust. Soc. Am. 111 (1), 487-498 (2002).
12. P. T. Christopher and K. J. Parker, " New approaches to nonlinear diffractive field propagation., " J. Acoust. Soc. Am. 90 (1), 488-499 (1991).
13. J. Tavakkoli, D. Cathignol, R. Souchon, and O. A. Sapozhnikov, " Modeling of pulsed finite-amplitude focused sound beams in time domain., " J. Acoust. Soc. Am. 104 (4), 2061-2072 (1998).
14. I. M. Hallaj, R. O. Cleveland, and K. Hynynen, " Simulations of the thermo-acoustic lens effect during focused ultrasound surgery., " J. Acoust. Soc. Am. 109 (5), 2245-2253 (2001).
15. S. Ginter, M. Liebler, E. Steiger, T. Dreyer, and R. E. Riedlinger, " Full-wave modeling of therapeutic ultrasound: Nonlinear ultrasound propagation in ideal fluids., " J. Acoust. Soc. Am. 111 (5), 2049-2059 (2002).
16. G. Wojcik, J. Mould, S. Ayter, and L. Carcione, " A study of second harmonic generation by focused medical transducer pulses., " Ultras. Symposium Proceedings 2, 1583-1588 (1998).
17. T. Varslot and G. Taraldsen, " Computer simulation of forward wave propagation in soft tissue., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52 (9), 1473-1482 (2005).
18. A. C. Baker, A. M. Berg, A. Sahin, and J. N. Tjotta, " The nonlinear pressure field of plane, rectangular apertures: Experimental and theoretical results., " J. Acoust. Soc. Am. 97, 3510-3517 (1995).
19. M. D. Cahill and A. C. Baker, " Numerical simulation of the acoustic field of a phased-array medical ultrasound scanner., " J. Acoust. Soc. Am. 104 (3), 1274-1283 (1998).
20. T. Nouri-Baranger, E. Closset, and D. Cathignol, " Numerical solution for nonlinear acoustic beam radiated from non-axisymmetric plane transducers using the operator splitting method., " IEEE Ultrasonics Symposium Proceedings, an International Symposium 1, 479-482 (2001).
21. A. Bouakaz, C. T. Lancee, and N. deJong, " Harmonic ultrasonic field of medical phased arrays: Simulations and measurements., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 50 (6), 730-735 (2003).
22. R. J. Zemp, J. Tavakkoli, and R. S. C. Cobbold, " Modeling of nonlinear ultrasound propagation in tissue from array transducers., " J. Acoust. Soc. Am. 113 (1), 139-152 (2003).
23. X. Yang and R. O. Cleveland, " Time domain solution of the KZK equation for rectangular pistons with application to harmonic imaging., " J. Acoust. Soc. Am. 117 (1), 113-123 (2005).
24. V. A. Khokhlova, A. E. Ponomarey, M. A. Averkiou, and L. A. Crum, " Nonlinear pulsed ultrasound beams radiated by rectangular focused diagnostic transducers., " Acoust. Phys. 53 (4), 481-489 (2006).
25. J. N. Tjotta and S. Tjotta, " Nonlinear equations of acoustics, with application to parametric acoustic arrays., " J. Acoust. Soc. Am. 69, 1644-1652 (1981).
26. M. F. Hamilton and C. L. Morfey, " Model Equations., " in Nonlinear Acoustics,, M. F. Hamilton, and, D. T. Blackstock,, eds. (Academic Press, San Diego, 1998), pp. 41-64.
27. Y. Jing, Physics of Tissue Harmonic Imaging by Ultrasound (Boston University, Boston, 2005).
28. I. M. Hallaj, R. O. Cleveland, P. E. Barbone, S. G. Kargl, and R. A. Roy, " Amplitude degradation of time-reversed pulses in nonlinear absorbing thermoviscous fluid., " Ultrasonics 38, 885-889 (2000).
29. W. F. Ames, Numerical Methods for Partial Differential Equations (Academic, New York, 1992).
30. D. T. Blackstock, Nonlinear Acoustics,, M. F. Hamilton, and, D. T. Blackstock,, eds. (Academic, Austin, TX, 1997), p. 11.
31. C. L. Morfey and F. D. Cotaras, Nonlinear Acoustics,, M. F. Hamilton, and, D. T. Blackstock,, eds. (Academic, New York, 1997), Chap..
32. A. R. Kaiser, C. A. Cain, E. Y. Hwang, J. B. Fowlkes, and R. J. Jeffers, " A cost effective degassing system for use in ultrasonic measurements: The multiple pinhole degassing system., " J. Acoust. Soc. Am. 99 (6), 3857-3860 (1996).
33. J. Huang, Aerospace and Mechanical Engineering (Boston University, Boston, 2002), pp. 65-67.
34. F. Dong, E. L. Madsen, M. C. MacDonald, and J. A. Zagzebski, " Nonlinearity parameter for tissue-mimicking materials., " Ultrasound Med. Biol. 25 (5), 831-838 (1999).
35. R. T. Beyer, Nonlinear Acoustics,, M. F. Hamilton, and, D. T. Blackstock,, eds. (Academic, Austin, TX, 1997), pp. 25-37.
36. E. H. Vefring, J. Naze-Tjotta, and S. Tjotta, " Effects of focusing on the nonlinear interaction between two collinear finite amplitude sound beams., " J. Acoust. Soc. Am. 89, 1017-1027 (1991).
37. T. D. Mast, " Two- and three-dimensional simulations of ultrasonic propagation through human breast tissue., " Acoustic Res. Lett. Online 3 (2), 53-58 (2002).
38. P. T. Christopher, " Finite amplitude distortion-based inhomogeneous pulse echo ultrasonic imaging., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44 (1), 125-139 (1997).
39. K. D. Wallace, M. R. Holland, B. S. Robinson, R. J. Fedewa, C. W. Lloyd, and J. G. Miller, " Impact of propagation through and aberrating medium on the linear effective apodization of a nonlinearly generated second harmonic field., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53, 1260-1268 (2006).
40. T. Varslot, S.-E. Måsøy, T. F. Johansen, and B. Anglesen, " Aberration in nonlinear acoustic wave propagation., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54, 470-479 (2007).