Modeling of nonlinear ultrasound propagation in tissue from array transducers

Journal of the Acoustical Society of America

Volumn 113, Issue 1, 2003, Pages 139-152

  Zemp, Roger J ^b   Tavakkoli, Jahangir ^b   Cobbold, Richard S C ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC TRANSDUCERS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; SENSITIVITY ANALYSIS; TISSUE;

NONLINEAR PROPAGATION;

ULTRASONIC PROPAGATION;

WATER;

ULTRASONICS;

ACCURACY; ARRAY TRANSDUCER; ARTICLE; CALCULATION; GEOMETRY; LASER DIFFRACTION; MATHEMATICAL MODEL; NONLINEAR SYSTEM; PRIORITY JOURNAL; RADIATION ATTENUATION; SIMULATION; SPECTRUM; TECHNIQUE; TISSUE; TRANSDUCER; ULTRASOUND;

ALGORITHMS; ANIMALS; COMPUTER SIMULATION; MODELS, THEORETICAL; NONLINEAR DYNAMICS; TRANSDUCERS; ULTRASONOGRAPHY;

EID: 0037240020     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1528926     Document Type: Article

References (41)

1. T. G. Muir, "Nonlinear effects in acoustical imaging," in Acoustical Imaging, edited by K. Y. Wang, Proceedings of the 9th International Symposium on Acoustical Imaging (Plenum, New York, 1980), Vol. 9, pp. 93-109.
2. B. Ward, A. C. Baker, and V. F. Humphrey, "Nonlinear propagation applied to the improvement of resolution in diagnostic medical imaging," J. Acoust. Soc. Am. 101, 143-154 (1997).
3. M. A. Averkiou, Y. S. Lee, and M. F. Hamilton, "Self-demodulation of amplitude- and frequency-modulated pulses in a thermoviscous fluid," J. Acoust. Soc. Am. 94, 2876-2883 (1993).
4. T. Christopher, "Finite amplitude distortion-based inhomogeneous pulse echo ultrasonic imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 125-139 (1997).
5. T. Christopher, "Experimental investigation of finite amplitude distortionbased, second harmonic pulse echo ultrasonic imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45, 158-162 (1998).
6. V. F. Humphrey, "Nonlinear propagation in ultrasonic fields: Measurements, modelling, and harmonic imaging." Ultrasonics 38, 267-272 (2000).
7. I. Puls, D. Berg, M. Maurer, M. Schliesser, G. Hetzel, and G. Becker, "Transcranial sonography of the brain parenchyma: comparison of B-mode imaging and tissue harmonic imaging," Ultrasound Med. Biol. 26, 189-194 (2000); S. Tanaka, O. Oshikawa, T. Sasaki, T. Ioka, and H. Tsukuma, "Evaluation of tissue harmonic imaging for the diagnosis of focal liver lesions," Ultrasound Med. Biol. 26, 183-187 (2000).
8. I. Puls, D. Berg, M. Maurer, M. Schliesser, G. Hetzel, and G. Becker, "Transcranial sonography of the brain parenchyma: comparison of B-mode imaging and tissue harmonic imaging," Ultrasound Med. Biol. 26, 189-194 (2000); S. Tanaka, O. Oshikawa, T. Sasaki, T. Ioka, and H. Tsukuma, "Evaluation of tissue harmonic imaging for the diagnosis of focal liver lesions," Ultrasound Med. Biol. 26, 183-187 (2000).
9. Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, New York, 1998).
10. Y. S. Lee and M. F. Hamilton, "Time domain modeling of pulsed finiteamplitude sound beams," J. Acoust. Soc. Am. 97, 906-917 (1995).
11. S. I. Aanosen, T. Barkve, J. Naze Tjotta, and S. Tjotta, "Distortion and harmonic generation in the near field of a finite amplitude sound beam," J. Acoust. Soc. Am. 75, 749-768 (1984).
12. A. C. Baker, K. Anastasiadis, and V. F. Humphrey, "The nonlinear pressure field of a plane circular piston: Theory and experiment," J. Acoust. Soc. Am. 84, 1483-1487 (1988).
13. A. C. Baker and V. E. Humphrey, "Distortion and high frequency generation due to nonlinear propagation of short ultrasonic pulses from a plane circular piston," J. Acoust. Soc. Am. 92, 1699-1705 (1992).
14. M. D. Cahill and A. C. Baker, "Increased off-axis energy deposition due to diffraction and nonlinear propagation of ultrasound from rectangular sources," J. Acoust. Soc. Am. 102, 199-203 (1997).
15. 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, 1274-1284 (1998).
16. Y. Li and J. A. Zagzebski, "Computer model for harmonic ultrasound imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 1000-1013 (2000).
17. P. T. Christopher and K. J. Parker, "New approaches to the linear propagation of acoustic fields," J. Acoust. Soc. Am. 90, 507-521 (1991).
18. P. T. Christopher and K. J. Parker, "New approaches to nonlinear diffractive field propagation" J. Acoust. Soc. Am. 90, 488-499 (1991).
19. T. Christopher, "Modeling the Domier HM3 lithotripter," J. Acoust. Soc. Am. 95, 3088-3095 (1994).
20. 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).
21. J. P. Remenieras, O. Bou Matar, V. Labat, and F. Patat, "Time-domain modeling of nonlinear distortion of pulsed finite amplitude sound beams," Ultrasonics 38, 305-311 (2000).
22. V. A. Khokhlova, R. Souchon, J. Tavakkoli, O. A. Sapozhnikov, and D. Cathignol, "Numerical modeling of finite amplitude sound beams: Shock formation in the near field of a cw plane piston source," J. Acoust. Soc. Am. 110, 95-108 (2001).
23. R. J. Zemp, "Modeling Nonlinear Ultrasound Propagation in Tissue," M.A.Sc. thesis, University of Toronto, 2000. (www. bme.ucdavis.edu/~rzemp/utoronto/rz_thesis2000.htm)
24. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, New York, 1978).
25. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
26. P. Wu, R. Kazys, and T Stepinski, "Analysis of the numerically implemented angular spectrum approach based on the evaluation of twodimensional acoustic fields. I. Errors due to the discrete Fourier transform and discretization," J. Acoust. Soc. Am. 99, 1339-1348 (1996).
27. P. Wu, R. Kazys, and T. Stepinski, "Analysis of the numerically implemented angular spectrum approach based on the evaluation of twodimensional acoustic fields. II. Characteristics as a function of angular range," J. Acoust. Soc. Am. 99, 1349-1359 (1996).
28. P. Wu, R. Kazys, and T. Stepinski, "Optimal selection of parameters for the angular spectrum approach to numerically evaluate acoustic fields." J. Acoust. Soc. Am. 101, 125-134 (1997).
29. T. D. Mast, L. P. Souriau, D. Liu, M. Tabei, A. I. Nachman, and R. C. Waag, "A k-space method for large-scale models of wave propagation in tissue," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 341-354 (2001).
30. Q. H. Liu, "The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45, 1044-1055 (1998).
31. R. C. Waag, J. A. Campbell, J. Ridder, and P. R. Mesdag, "Cross-sectional measurements and extrapolations of ultrasonic fields," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 32, 26-35 (1985).
32. P Wu and T. Stepinski, "Extension of the angular spectrum approach to curved radiators," J. Acoust. Soc. Am. 105, 2618-2627 (1999).
33. J. L. San Emeterio and L. G. Ullate, "Diffraction impulse response of rectangular transducers," J. Acoust. Soc. Am. 92, 651-662 (1992).
34. M. E. Haran and B. D. Cook, "Distortion of finite amplitude ultrasound in lossy media," J. Acoust. Soc. Am. 73, 774 -779 (1983); D. H. Trivett and A. L. Van Buren, "Comments on 'Distortion of finite amplitude ultrasound in lossy media' [J. Acoust. Soc. Am. 73, 774-779 (1983)]," J. Acoust. Soc. Am. 76, 1257-1258 (1984).
35. M. E. Haran and B. D. Cook, "Distortion of finite amplitude ultrasound in lossy media," J. Acoust. Soc. Am. 73, 774 -779 (1983); D. H. Trivett and A. L. Van Buren, "Comments on 'Distortion of finite amplitude ultrasound in lossy media' [J. Acoust. Soc. Am. 73, 774-779 (1983)]," J. Acoust. Soc. Am. 76, 1257-1258 (1984).
36. M. A. Averkiou, D. N. Roundhill, and J. E. Powers, "A new imaging technique based on the nonlinear properties of tissue," 1997 IEEE Ultrasonics Symp. Proc., 1561-1566 (1997).
37. H. T. O'Neil, "Theory of focusing radiators," J. Acoust. Soc. Am. 21, 516-526 (1949).
38. S. Nachef, D. Cathignol, J. N. Tjotta, A. M. Berg, and S. Tjotta, "Investigation of a high intensity sound beam from a plane transducer. Experimental and theoretical results," J. Acoust. Soc. Am. 98, 2303-2323 (1995).
39. R T. Christopher, "A nonlinear plane-wave algorithm for diffractive propagation involving shock waves," J. Comput. Acoust. 1, 371-393 (1993).
40. D. H. Simpson, T. C. Chien, and P. N. Bums, "Pulse inversion Doppler: A new method for detecting nonlinear echoes from microbubble contrast agents," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46, 372-381 (1999).
41. H. O. Berktay, "Possible exploitation of non-linear acoustics in underwater transmitting applications," J. Sound Vib. 2, 435-461 (1965).