Time domain simulation of nonlinear acoustic beams generated by rectangular pistons with application to harmonic imaging

Journal of the Acoustical Society of America

Volumn 117, Issue 1, 2005, Pages 113-123

  Yang, Xinmai ^a   Cleveland, Robin O ^a  

^a BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; BENCHMARKING; COMPUTER SIMULATION; MEDICAL IMAGING; RELAXATION PROCESSES; TIME DOMAIN ANALYSIS; TISSUE;

CLINICAL SCANNERS; HARMONIC IMAGING; NONLINEAR PROPAGATION; TIME DOMAIN SIMULTION;

ACOUSTIC WAVES;

ABSORPTION; ACOUSTICS; AMPLITUDE MODULATION; ARTICLE; DIAGNOSTIC IMAGING; DIFFRACTION; KHOKHLOV ZABOLOTSKAYA KUZNETSOV EQUATION; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; PRIORITY JOURNAL; SIMULATION; THREE DIMENSIONAL IMAGING; TIME DOMAIN SIMULATION; ULTRASOUND; ULTRASOUND TRANSDUCER;

ACOUSTICS; HUMANS; MODELS, THEORETICAL; SOUND; TIME FACTORS; ULTRASONICS;

EID: 12344329740     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1828671     Document Type: Article

References (49)

1. A. J. Coleman and J. E. Saunders, "A review of the physical properties and biological effects of the high amplitude acoustic fields used in extra-corporeal lithotripsy," Ultrasonics 31, 75-89 (1993).
2. K. Hynynen, "Demonstration of enhanced temperature elevation due to nonlinear propagation of focused ultrasound in a dog's thigh in vivo," Ultrasound Med. Biol. 13, 85-91 (1987).
3. S. Vaezy, R. Martin, H. Yaziji, P. Kaczkowski, G. Keilman, S. Carter, M. Caps, E. Y. Chi, M. Bailey, and L. A. Crum, "Hemostasis of Punctured Blood Vessels Using High-Intensity Focused Ultrasound," Ultrasound Med. Biol. 24, 903-910 (1998).
4. E. L. Carstensen, W. K. Law, N. D. McKay, and T. G. Muir, "Demonstration of nonlinear acoustic effects at biomedical frequencies and intensities," Ultrasound Med. Biol. 6, 359-368 (1980).
5. H. C. Starritt, M. A. Perkins, F. A. Duck, and V. F. Humphrey, "Evidence for ultrasonic finite-amplitude distortion in muscle using medical equipment," J. Acoust. Soc. Am. 77, 302-306 (1985).
6. D. R. Bacon and E. L. Carstensen, "Increased heating by diagnostic ultrasound due to nonlinear propagation," J. Acoust. Soc. Am. 88, 26-34 (1990).
7. B. Ward, A. C. Baker, and V. F. Humphrey, "Nonlinear propagation applied to the improvement of resolution diagnostic medical ultrasound," J. Acoust. Soc. Am. 101, 143-154 (1997).
8. M. A. Averkiou, D. N. Roundhill, and J. E. Powers, "A new imaging technique based on the nonlinear properties of tissues," Proceedings of the IEEE Ultrasonics Symposium, IEEE Catalog No. 97CH36118, 1997, vol. 2, pp. 1561-1566.
9. T. Christopher, "Finite amplitude distortion-based inhomogeneous pulse echo ultrasonic imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 125-139 (1997).
10. T. D. Mast, L. M. Hinkelman, M. J. Orr, V. W. Sparrow, and R. C. Waag, "Simulation of ultrasonic pulse propagation through the abdominal wall," J. Acoust. Soc. Am. 102, 1177-1190 (1997).
11. E. A. Zabolotskaya and R. V. Khokhlov, "Quasi-plane waves in the nonlinear acoustics of confined beams," Sov. Phys. Acoust. 15, 35-40 (1969).
12. V. P. Kuznetsov, "Equation of nonlinear acoustics," Sov. Phys. Acoust. 16, 467-470 (1970).
13. S. I. Aanonsen, T. Barkve, J. Naze Tjøtta, and S. Tjøtta, "Distortion and harmonic generation in the nearfield of a finite amplitude sound beam," J. Acoust. Soc. Am. 75, 749-768 (1984).
14. B. Lipkens, P. Blanc-Benon, 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, 487-498 (2002).
15. V. A. Khokhlova, M. V. Averianov, Ph. Blanc-Benon, and R. O. Cleveland, "Propagation of nonlinear acoustic signals through inhomogeneous moving media," Proceedings of the IEEE Ultrasonics Symposium, Montreal, Canada (in press).
16. B. E. McDonald and W. A. Kuperman, "Time domain formulation for pulse propagation including nonlinear behavior at a caustic," J. Acoust. Soc. Am. 87, 1473-1481 (1990).
17. Y. S. Lee and M. F. Hamilton, "Time-domain modeling of pulsed finite-amplitude sound beams," J. Acoust. Soc. Am. 97, 906-917 (1995).
18. 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).
19. Y. A. Pishchalnikov, O. A. Sapozhnikov, and V. A. Khokhlova, "A Modification of the Spectral Description of Nonlinear Acoustic Waves with Discontinuities," Acoust. Phys. 42, 362-367 (1996).
20. T. Christopher and K. J. Parker, "New approaches to nonlinear diffractive field propagation," J. Acoust. Soc. Am. 90, 488-499 (1991).
21. 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, 2061-2072 (1998).
22. G. Wojcik, J. Mould, Jr, F. Lizzi, N. Abboud., M. Ostromogilsky, and D. Vaughan, "Nonlinear modeling of therapeutic ultrasound," Proceedings of IEEE Ultrasonics Symposium, IEEE Catalog No. 95CH35844, vol. 2, 1617-1621 (1995).
23. I. M. Hallaj and R. O. Cleveland, "Single pulse simulation of the pressure and temperature fields in thermoviscus fluids using the FDTD method," Acoust. Res. Lett. Online http://ojps.aip.org/arlo published in J. Acoust. Soc. Am. 105, L7-12 (1999).
24. I. M. Hallaj and R. O. Cleveland, "Single pulse simulation of the pressure and temperature fields in thermoviscus fluids using the FDTD method," Acoust. Res. Lett. Online http://ojps.aip.org/arlo published in J. Acoust. Soc. Am. 105, L7-12 (1999).
25. C.-C. Shen and P.-C. Li, "Harmonic leakage and image quality degradation in tissue harmonic imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 728-736 (2001).
26. R. J. Zemp, J. Tavakkoli, and R. S. Cobbold, "Modeling of nonlinear ultrasound propagation in tissue from array transducers." J. Acoust. Soc. Am. 113, 139-152 (2003).
27. A. C. Baker, A. M. Berg, A. Sahin, and J. N. Tjøtta, "The nonlinear pressure field of plane, rectangular apertures: Experimental and theoretical results," J. Acoust. Soc. Am. 97, 3510-3517 (1995).
28. 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, 1274-1283 (1998).
29. A. Bouakaz, C. T. Lancee, and N. de Jong, "Harmonic ultrasonic field of medical phased arrays: Simulations and measurements," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 50, 730-735 (2003).
30. R. O. Cleveland, M. F. Hamilton, and D. T. Blackstock, "Time-domain modeling of finite-amplitude sound in relaxing fluids," J. Acoust. Soc. Am. 99, 3312-3318 (1996).
31. W. F. Ames, Numerical Methods for Partial Differential Equations, 3rd ed. (Academic, New York, 1992).
32. M. F. Hamilton, J. Naze Tjøtta, and S. Tjøtta, "Nonlinear effects in the far field of a directive sound source," J. Acoust. Soc. Am. 78, 202-216 (1985).
33. T. S. Hart and M. F. Hamilton, "Nonlinear effects in focused beams," J. Acoust. Soc. Am. 84, 1488-1496 (1988).
34. J. Naze Tjøtta, S Tjøtta, and E. H. Vefring, "Effects if focusing on the nonlinear interaction between two collinear finite amplitude sound beams," J. Acoust. Soc. Am. 89, 1017-1027 (1991).
35. B. Ystad and J. Berntsen, "Numerical solution of the KZK equation for focusing sources," Acta Acustica 3, 323-330 (1995).
36. A. Taflove, Computational Electrodynamics: The Finite-difference Time Domain Method (Artech, Norwood, MA, 1995), pp. 158-160.
37. T. Christopher, "Source pre-biasing for improved second harmonic bubble-response imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46, 556-563 (1999).
38. Q.-H. Liu and J. Tao, "The perfectly matched layer for acoustic waves in absorptive media," J. Acoust. Soc. Am. 102, 2072-2082 (1997).
39. L. G. Ullate and J. L. San Emeterio, "A new algorithm to calculate the transient near-field of ultrasonic phased arrays," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 745-753 (1992).
40. H. Becher, K. Tiemann, C. Pohl, N. C. Nanda, M. A. Averkiou, J. E. Powers, and B. Lüderitz, "Improvement in the endocardial border delineation using tissue harmonic imaging," Echocardiography 15, 511-517 (1998).
41. R. J. Graham, W. Gallas, J. S. Gelman, L. Donelan, and R. E. Peverill, "An assessment of tissue harmonic versus fundamental imaging modes for echocardiographic measurements," J. Am. Soc. Echocardiogr. 14, 1191-1196 (2001).
42. G. A. Whalley, G. D. Gamble, H. J. Walsh, S. P. Wright, S. Agewall, N. Sharpe, and R. N. Doughty, "Effect of tissue harmonic imaging and contrast upon between observer and test-retest reproducibility of left ventricular ejection fraction measurement in patients with heart failure," Eur. J. Heart Fail. 6, 85-93 (2004).
43. K. Kubota, N. Hisa, Y. Ogawa, and S. Yoshida, "Evaluation of tissue harmonic imaging for breast tumors and axillary lymph nodes," Oncol. Rep. 9, 1335-1338 (2002).
44. S. Tanaka, O. Oshikawa, T. Sasaki, T. Ioka, and H. Tsukuma "Evaluation of tissue harmonic imaging for diagnosis of focal liver lesions," Ultrasound Med. Biol. 26, 183-187 (2000).
45. T. Schmidt, C. Hohl, P. Haage, M. Blaum, D. Honnef, C. Weibeta, G. Staatz, and R. W. Gunther, "Diagnostic accuracy of phase-inversion tissue harmonic imaging versus fundamental B-mode sonography in the evaluation of focal lesions of the kidney," Am J Roentgenol. 180, 1639-1647 (2003).
46. J. E. Browne, A. J. Watson, N. M. Gibson, N. J. Dudley, and A. T. Elliott, "Objective measurements of image quality," Ultrasound Med. Biol. 30, 229-237 (2004).
47. C. Pislaru, J. D. Hooge, S. V. Pislaru, E. Brandt, R. Cipic, C. E. Angermann, F. J. van de Werf, B. Bijnes, M. C. Herregods, and G. R. Sutherland, "Is there a change in myocardial nonlinearity during the cardiac cycle?" Ultrasound Med. Biol. 27, 389-398 (2001).
48. T. L. Szabo, "Time domain wave equations for lossy media obeying a frequency power law," J. Acoust. Soc. Am. 96, 491-500 (1994).
49. I. M. Hallaj, R. O. Cleveland, P. Barbone, S. G. Kargl, and R. A. Roy, "Amplitude degradation of time-reversed pulses in nonlinear absorbing thermoviscous fluids," Ultrasonics 38, 885-889 (2000).