Modeling ultrasonic transient scattering from biological tissues including their dispersive properties directly in the time domain

MCB Molecular and Cellular Biomechanics

Volumn 4, Issue 2, 2007, Pages 75-85

  Norton, G V ^a   Novarini, J C ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b PLANNING SYSTEMS INC   (United States)

Author keywords

Acoustics; Dispersion; Finite difference; Time domain; Ultrasonic

Indexed keywords

ACOUSTIC IMAGING; ACOUSTICS; BLIND SOURCE SEPARATION; COMPUTERIZED TOMOGRAPHY; CONVOLUTION; DISPERSION (WAVES); HISTOLOGY; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; MEDICAL APPLICATIONS; MEDICAL IMAGING; MODELS; NUMERICAL ANALYSIS; SCATTERING; SOLUTIONS; TIME DOMAIN ANALYSIS; TISSUE; ULTRASONIC IMAGING; ULTRASONICS; WAVE EQUATIONS;

ANALYTICAL APPROACHES; ANATOMIC STRUCTURES; AND SCATTERINGS; BIOLOGICAL TISSUES; CONVOLUTION OPERATORS; CORRECT SOLUTIONS; DISPERSIVE CHARACTERISTICS; DISPERSIVE PROPERTIES; ELUSIVE; EXACT SOLUTIONS; FINITE DIFFERENCES; FINITE-DIFFERENCE; FREQUENCY DOMAINS; INFINITE CYLINDERS; INHOMOGENEOUS MEDIAS; LINEAR WAVE EQUATIONS; MODELING; NUMERICAL MODELING; NUMERICAL SOLUTIONS; PROPAGATION OPERATORS; SCATTERED-FIELD; TIME DOMAINS; TIME-DOMAIN; TRANSIENT SCATTERINGS; TRANSIENT SIGNALS; ULTRASONIC;

ACOUSTIC WAVE SCATTERING;

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; ECHOGRAPHY; HUMAN; MATHEMATICS; STATISTICS; TIME;

BIOMECHANICS; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; TIME FACTORS; ULTRASONOGRAPHY;

EID: 35748932056     PISSN: 15565297     EISSN: 15565300     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Berenger, J. P. (1994): A perfectly matched layer for the absorption of electromagnetic waves. J. Comp. Phys., vol. 114, pp. 185-200.
2. Cohen, G. (2001): Higher-Order Numerical Methods for Transient Wave Equations. Springer-Verlag, Berlin.
3. Edmonds, P. D.; Dunn, F. (1981): Introduction: Physical description of ultrasonic fields, in: Methods of Experimental Physics: Ultrasonics. Academic Press, New York.
4. Fellah, Z. E.; Wirgin, A.; Fellah, M.; Sebaa, N.; Depollier, C.; Larusiks, W. (2005): A time-domain model of transient acoustic wave propagation in double-porous media. J. Acoust. Soc. Am., vol. 118, pp. 661-670.
5. Gross, S. A.; Johnston, R. L.; Dunn, F. (1978): Comprehensive compilation of empirical ultrasonic properties of mammalian tissues. J. Acoust. Soc. Am., vol. 64, pp. 423-457.
6. Lizzi, F. L.; Greenebaum, M.; Feleppa, E. J.; Elbaun, M.; Coleman, D. J. (1983): Theoretical framework for spectrum analysis in ultrasonic tissue characterization. J. Acoust. Soc. Am., vol. 73, pp. 1366-1373.
7. Manry, C. W.; Broschat, S. L. (1996): FDTD Simulations for Ultrasound Propagation I a 2-D breast model. Ultrasonics Imaging, vol. 18, pp. 25-34.
8. Mast, T. D.; Hinkelman, L. M.; Orr, M. J.; Sparrow, V. W.; Waag, R. C. (1997): Simulation of ultrasonic pulse propagation through the abdominal wall. J. Acoust. Soc. Am., vol. 102, pp. 1177-1190.
9. Mast, T. D.; Hinkelman, L. M.; Orr, M. J.; Sparrow, V.W.; Waag, R. C. (1998): The effect of the abdominal wall morphology on ultrasonic pulse propagation. Part II. Simulations. J. Acoust. Soc. Am., vol. 104, pp. 3651-3664.
10. Mortesen, C. L.; Edmonds, P. D.; Gorfu, Y.; Hill, J. R.; Jensen, J. F.; Schattner, P.; Shifrin, L. A.; Valdes, A. D.; Jeffrey, S. S.; Esserman, L. J. (1996): Ultrasound tissue characterisation of breast biopsy specimens: expanded study. Ultrasonic Imaging, vol. 18, pp. 215-230.
11. Norton, G. V.; Novarini, J. C. (2003): Including dispersion and attenuation directly in the time domain for wave propagation in isotropic media. J. Acoust. Soc. Am., vol. 113, pp. 3024-3031.
12. Norton, G. V.; Novarini, J. C. (2004): Including dispersion and attenuation in time domain modeling of pulse propagation in spatially-varyingmedia. J. Comp. Acoust., vol. 113, pp. 1-19.
13. Norton, G. V.; Novarini, J. C. (2005): Time domain modeling of pulse propagation in non-isotropic dispersive media. Math. Comp. Sim., vol. 69, pp. 467-476.
14. Norton, G. V.; Novarini, J. C. (2006): Finite-differencve time-domain simulation of acoustic propagation in dispersive medium: An application to bubble clouds in the ocean. Comp. Phys. Comm., vol. 174, pp. 961-965.
15. Schneider, J. B.; Ramahi, O. M. (1998): The complementary operators method applied to acoustic finite-difference time-domain simulations. J. Acoust. Soc. Am., vol. 104, pp. 686-693.
16. Stanton, T. K. (1988): The complementary operators method applied to acoustic finite-difference time-domain simulations. J. Acoust. Soc. Am., vol. 83, pp. 55-63.
17. Sushilov, N. V.; Cobbold, R. C. (2004): Frequency-domain wave attenuation and its time-domain solutions in attenuating media. J. Acoust. Soc. Am., vol. 115, pp. 1431-1436.
18. Szabo, T. L. (1994): Time domain wave equations for lossy media obeying a frequency power law. J. Acoust. Soc. Am., vol. 96, pp. 491-500.
19. Tabei, M.; Mast, T. D.; Waag, R. C. (2002): A k-space method for coupled first order acoustic propagation equations. J. Acoust. Soc. Am., vol. 111, pp. 53-64.
20. Tabei, M.; Mast, T. D.; Waag, R. C. (2003): Simulation of ultrasonic focus aberration and correction through human tissue. J. Acoust. Soc. Am., vol. 113, pp. 1166-1176.
21. Vogt, R. H.; Flax, L.; Dragonette, L. R.; Neubauer, W. G. (1975): Monostatic reflection of a plane wave from an absorbing sphere. J. Acoust. Soc. Am., vol. 57, pp. 558-561.
22. Waters, K. R.; Hughes, M. S.; Brandenburger, G. H.; Miller, J. G. (2000): On a time-domain representation of the Kramers-Kronig dispersion relations. J. Acoust. Soc. Am., vol. 108, pp. 2114-2119.
23. Waters, K. R.; Mosley, J.; Miller, J. C. (2005): Causality-imposed (Kramers-Kronig) relationships between attenuation and dispersion. IEEE Trans. Ultrasonics, vol. 52, pp. 822-833.