Numerical methods for axisymmetric and 3D nonlinear beams

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 5750, Issue , 2005, Pages 388-396

  Pinton, Gianmarco F ^a   Trahey, Gregg E ^a  

^a Duke University   (United States)

Author keywords

Beam; KZK; Nonlinear; Ultrasound

Indexed keywords

BEAM; KZK; NONLINEAR; NUMERICAL SOLUTION;

ALGORITHMS; BIOMEDICAL ENGINEERING; NONLINEAR SYSTEMS; ULTRASONIC IMAGING; VISCOSITY OF LIQUIDS;

NUMERICAL METHODS;

EID: 24644442790     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.595910     Document Type: Conference Paper

References (12)

1. F. A. Duck, "Nonlinear acoustics in diagnostic ultrasound," Ultrasound in Medicine and Biology 28, pp. 1-18, Jan 2002.
2. M. A. Averkiou, Y. S. Lee, and M. F. Hamilton, "Self-demodulation of amplitude- and frequency-modulated pulses in a thermoviscous fluid," Journal of the Acoustical Society of America 94, pp. 2876-2883, 1993.
3. T. Christopher, "Finite amplitude distortion-based inhomogeneous pulse echo ultrasonic imaging," IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 44(1), pp. 125-139, 1997.
4. V. F. Humphrey, "Nonlinear propagation in ultrasonic fields: Measurements, modelling, and harmonic imaging," Ultrasonics 38, pp. 267-272, 2000.
5. P. T. Christopher and K. J. Parker, "New approaches to nonlinear diffractive field propagation," Journal of the Acoustical Society of America 90, pp. 488-499, Jul 1991.
6. Y.-S. Lee and M. F. Hamilton, "Time-domain modeling of pulsed finite-amplitude sound beams," Journal of the Acoustical Society of America 97, pp. 906-917, February 1995.
7. M. A. Averkiou and M. F. Hamilton, "Nonlinear distortion of short pulses radiated by plane and focused circular pistons," Journal of the Acoustical Society of America 102(5), pp. 2539-2548, 1997.
8. R. J. Zemp, J. Tavakkoli, and R. S. C. Cobbold, "Modeling of nonlinear ultrasound propagation in tissue from array transducers," Journal of the Acoustical Society of America 113, pp. 139-152, Jan 2003.
9. J. A. Trangenstein, Numerical Solution of Partial Differential Equations (in preparation).
10. N. S. Bakhvalov, Y. M. Zhileikin, and E. A. Zabolotskaya, Nonlinear Theory of Sound Beams, American Institute of Physics, New York, 1987.
11. M. F. Hamilton and D. T. Blackstock, Nonlinear Acoustics, Academic Press, San Diego, 1997.
12. M. F. Hamilton, V. A. Khokhlova, and O. V. Rudenko, "Analytical method for describing the paraxial region of finite amplitude sound beams," Journal of the Acoustical Society of America 101, pp. 1298-1308, March 1997.