An iterative method for the computation of nonlinear, wide-angle, pulsed acoustic fields of medical diagnostic transducers

Journal of the Acoustical Society of America

Volumn 127, Issue 1, 2010, Pages 33-44

  Huijssen, J ^a,b   Verweij, M D ^a  

^a Department of Microelectronics   (Netherlands)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION TECHNIQUES; DISCRETIZATIONS; EXISTING METHOD; GREEN'S FUNCTION METHODS; IMAGING MODALITY; ITERATIVE SCHEMES; LINEAR WAVES; MEDICAL DIAGNOSTICS; MEDICAL ULTRASOUND; NON-LINEAR ACOUSTICS; NON-LINEARITY; NONLINEAR TERMS; PLANAR SOURCES; PULSED FIELDS; TWO-POINT; WAVEFIELDS;

ACOUSTIC FIELDS; ACOUSTIC TRANSDUCERS; ACOUSTIC WAVES; CONVOLUTION; FORECASTING; GREEN'S FUNCTION; MEDICAL IMAGING; TRANSDUCERS; ULTRASONIC APPLICATIONS; ULTRASONIC TRANSDUCERS; WAVE EQUATIONS;

NONLINEAR EQUATIONS;

ACOUSTICS; ALGORITHM; ARTICLE; COMPARATIVE STUDY; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; ELECTRONICS; EVALUATION; INSTRUMENTATION; METHODOLOGY; NONLINEAR SYSTEM; PRESSURE; SIGNAL PROCESSING; THREE DIMENSIONAL IMAGING; TIME; TRANSDUCER;

ACOUSTICS; ALGORITHMS; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; ELECTRONICS, MEDICAL; IMAGING, THREE-DIMENSIONAL; NONLINEAR DYNAMICS; PRESSURE; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS; TRANSDUCERS;

EID: 75949095011     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3268599     Document Type: Article

References (38)

1. B. Ward, A. C. Baker, and V. F. Humphrey, " Nonlinear propagation applied to the improvement of resolution in diagnostic medical ultrasound equipment.," J. Acoust. Soc. Am. 0001-4966 101, 143-154 (1997). 10.1121/1.417977 (Pubitemid 27026624)
2. F. Tranquart, N. Grenier, V. Eder, and L. Pourcelot, " Clinical use of ultrasound tissue harmonic imaging.," Ultrasound Med. Biol. 0301-5629 25, 889-894 (1999). 10.1016/S0301-5629(99)00060-5 (Pubitemid 29325761)
3. A. Bouakaz and N. de Jong, " Native tissue imaging at superharmonic frequencies.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 50, 496-506 (2003). 10.1109/TUFFC.2003.1201462
4. A. Bouakaz, E. Merks, C. T. Lanće, and N. Bom, " Noninvasive bladder volume measurements based on nonlinear wave distortion.," Ultrasound Med. Biol. 0301-5629 30, 469-476 (2004). 10.1016/j.ultrasmedbio.2003. 11.006 (Pubitemid 38581147)
5. Nonlinear Acoustics, edited by, M. F. Hamilton, and, D. T. Blackstock, (Academic, San Diego, CA, 1998).
6. K. -E. Frøysa, J. Naze Tjøtta, and S. Tjøtta, " Linear propagation of a pulsed sound beam from a plane or focusing source.," J. Acoust. Soc. Am. 0001-4966 93, 80-92 (1993). 10.1121/1.405546
7. M. D. Cahill and A. C. Baker, " Numerical simulation of the acoustic field of a phased-array medical ultrasound scanner.," J. Acoust. Soc. Am. 0001-4966 104, 1274-1283 (1998). 10.1121/1.424336 (Pubitemid 28421549)
8. A. Bouakaz, C. T. Lanće, P. Frinking, and N. de Jong, " Simulations and measurements of nonlinear pressure field generated by linear array transducers.," in Proceedings of the 1999 IEEE Ultrasonics (1999), pp. 1511-1514.
9. V. A. Khokhlova, A. E. Ponomarev, M. A. Averkiou, and L. A. Crum, " Nonlinear pulsed ultrasound beams radiated by rectangular focused diagnostic transducers.," Acoust. Phys. 1063-7710 52, 481-489 (2006). 10.1134/S1063771006040178 (Pubitemid 44048552)
10. X. Yang and R. Cleveland, " Time domain simulation of nonlinear acoustic beams generated by rectangular pistons with application to harmonic imaging.," J. Acoust. Soc. Am. 0001-4966 117, 113-123 (2005). 10.1121/1.1828671 (Pubitemid 40130138)
11. P. T. Christopher and K. J. Parker, " New approaches to nonlinear diffractive field propagation.," J. Acoust. Soc. Am. 0001-4966 90, 488-499 (1991). 10.1121/1.401274
12. J. Tavakkoli, D. Cathignol, and R. Souchon, " Modeling of pulsed finite-amplitude focused sound beams in time domain.," J. Acoust. Soc. Am. 0001-4966 104, 2061-2072 (1998). 10.1121/1.423720 (Pubitemid 28463100)
13. R. J. Zemp, J. Tavakkoli, and R. S. C. Cobbold, " Modeling of nonlinear ultrasound propagation in tissue from array transducers.," J. Acoust. Soc. Am. 0001-4966 113, 139-152 (2003). 10.1121/1.1528926 (Pubitemid 36105668)
14. 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 0041-624X 44, 310-329 (2006). 10.1016/j.ultras.2006.04.001 (Pubitemid 43963123)
15. T. Varslot and G. Taraldsen, " Computer simulation of forward wave propagation in tissue.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 52, 1473-1482 (2005). 10.1109/TUFFC.2005.1516019
16. P. D. Fox, A. Bouakaz, and F. Tranquart, " Computation of steered nonlinear fields using offset KZK axes.," in Proceedings of the IEEE Ultrasonics 2005 (2005), pp. 1984-1987.
17. T. Christopher, " Algorithm for the nonlinear propagation of acoustic beams from phased arrays and nonplanar sources.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 53, 2188-2192 (2006). 10.1109/TUFFC.2006.159 (Pubitemid 46104018)
18. T. Varslot, S. -E. Masoy, T. Johansen, and B. Angelsen, " Aberration in nonlinear acoustic wave propagation.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 54, 470 (2007). 10.1109/TUFFC.2007.271 (Pubitemid 46495666)
19. V. W. Sparrow and R. Raspet, " A numerical method for general finite amplitude wave propagation in two dimensions and its application to spark pulses.," J. Acoust. Soc. Am. 0001-4966 90, 2683-2691 (1991). 10.1121/1.401863
20. T. Yano and Y. Inoue, " Strongly nonlinear waves and streaming in the near field of a circular piston.," J. Acoust. Soc. Am. 0001-4966 99, 3353-3372 (1996). 10.1121/1.414892 (Pubitemid 26190224)
21. M. Liebler, S. Ginter, T. Dreyer, and R. E. Riedlinger, " Full wave modeling of therapeutic ultrasound: Efficient time-domain implementation of the frequency power-law attenuation.," J. Acoust. Soc. Am. 0001-4966 116, 2742-2750 (2004). 10.1121/1.1798355 (Pubitemid 39575522)
22. I. M. Hallaj and R. O. Cleveland, " FDTD simulation of finite-amplitude pressure and temperature fields for biomedical ultrasound.," J. Acoust. Soc. Am. 0001-4966 105, L7-L12 (1999). 10.1121/1.426776 (Pubitemid 29218421)
23. J. Hoffelner, H. Landes, M. Kaltenbacher, and R. Lerch, " Finite element simulation of nonlinear wave propagation in thermoviscous fluids including dissipation.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 48, 779-786 (2001). 10.1109/58.920712 (Pubitemid 32543038)
24. G. Wojcik, J. Mould, L. Carcione, and S. Ayter, " A study of second harmonic generation by focused medical transducer pulses.," in Proceedings of the 1998 IEEE Ultrasonics (1998), pp. 1583-1588.
25. S. I. Aanonsen, T. Barkve, J. Naze Tjotta, and S. Tjotta, " Distortion and harmonic generation in the nearfield of a finite amplitude sound beam.," J. Acoust. Soc. Am. 0001-4966 75, 749-768 (1984). 10.1121/1.390585
26. M. D. Verweij and J. Huijssen, " A filtered convolution method for the computation of acoustic wave fields in very large spatiotemporal domains.," J. Acoust. Soc. Am. 0001-4966 125, 1868-1878 (2009). 10.1121/1.3077220
27. A. T. de Hoop, Handbook of Radiation and Scattering of Waves (Academic, San Diego, CA, 1995).
28. J. Huijssen, " Modeling of nonlinear medical diagnostic ultrasound.," Ph.D. thesis, Delft University of Technology, Delft, The Netherlands (2008).
29. J. T. Fokkema and P. M. van den Berg, Seismic Applications of Acoustic Reciprocity (Elsevier, Amsterdam, 1993).
30. G. F. Roach, Green's Functions (Cambridge University Press, Cambridge, 1982).
31. J. A. DeSanto, Scalar Wave Theory-Green's Functions and Applications (Springer-Verlag, Berlin, 1992).
32. R. O. Cleveland, M. F. Hamilton, and D. T. Blackstock, " Time-domain modeling of finite-amplitude sound in relaxing fluids.," J. Acoust. Soc. Am. 0001-4966 99, 3312-3318 (1996). 10.1121/1.414983 (Pubitemid 26190219)
33. M. Frigo and S. G. Johnson, " The design and implementation of FFTW3.," Proc. IEEE 0018-9219 93, 216-231 (2005). 10.1109/JPROC.2004.840301 (Pubitemid 40851223)
34. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, New York, 1996).
35. J. de Koning, " Parallelizing Parnac.," Technical Report No. TR06-03, VORtech Computing, Delft, The Netherlands, 2007.
36. J. Huijssen, A. Bouakaz, M. D. Verweij, and N. de Jong, " Simulations of the nonlinear acoustic pressure field without using the parabolic approximation.," in Proceedings of the IEEE Ultrasonics 2003 (2003), pp. 1851-1854.
37. Y. -S. Lee and M. F. Hamilton, " Time-domain modeling of pulsed finite-amplitude sound beams.," J. Acoust. Soc. Am. 0001-4966 97, 906-917 (1995). 10.1121/1.412135
38. J. Huijssen and M. D. Verweij, " Nonlinear constitutive equations derived for fluids obeying an ideal gas, a Tait-Kirkwood or a B/A type equation of state.," in Proceedings of the ISNA17 (2005), pp. 552-555.