Comparison of homogeneous and heterogeneous modeling of transient scattering from dispersive media directly in the time domain

Mathematics and Computers in Simulation

Volumn 80, Issue 4, 2009, Pages 682-692

  Norton, Guy V ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Acoustic; Causality; Dispersion; Finite difference time domain

Indexed keywords

ACCURATE MODELING; ACOUSTIC PRESSURES; DISPERSIVE MEDIA; DISPERSIVE MEDIUM; ELECTROMAGNETICS; FINITE DIFFERENCE TIME DOMAINS; FINITE DIFFERENCE TIME-DOMAIN; HETEROGENEOUS MODELING; LINEAR WAVE EQUATION; MATERIAL PROPERTY; NON-LINEAR; PULSE PROPAGATION; TIME DOMAIN; TRANSIENT SCATTERING;

ACOUSTICS; CONVOLUTION; DIFFERENCE EQUATIONS; FINITE DIFFERENCE TIME DOMAIN METHOD; SCATTERING; WAVE EQUATIONS;

DISPERSION (WAVES);

EID: 70649102114     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2009.08.018     Document Type: Article

References (17)

1. Beyer R.T. The parameter B / A. In: Hamilton M.F., and Blackstock D.T. (Eds). Nonlinear Acoustics (1998), Academic Press, San Diego 25-40
2. Blackstock D.T. Generalized Burgers equation for plane waves. Journal of the Acoustic Society of America 77 (1985) 2050-2053
3. Bracewell R.N. The Fourier Transform and Its Applications. 2nd edition (1986), McGraw-Hill, New York pp. 57-61
4. Cohen G. Higher-Order Numerical Methods for Transient Wave Equations (2001), Springer-Verlag, Berlin pp. 45-50
5. Edmonds P.D., and Dunn F. Introduction: physical description of ultrasonic fields. In: Edmonds P.D. (Ed). Methods of Experimental Physics: Ultrasonics (1981), Academic Press, New York 3-28
6. Goss S.A., Johnston R.L., and Dunn F. Comprehensive compilation of empirical ultrasonic properties of mammalian tissues. Journal of the Acoustic Society of America 64 (1978) 423-457
7. Hovem J.M. The nonlinearity parameter of saturated marine sediments. Journal of the Acoustic Society of America 66 (1979) 1463-1467
8. Krönig R.D.L. On the theory of dispersion of X-rays. Journal of the Optical Society of America 12 (1926) 547-557
9. Medwin H., and Clay C.S. Fundamentals of Acoustic Oceanography (1988), Academic Press, New York 289-347
10. Monahan E.C. Occurrence and evolution of acoustically relevant sub-surface bubble plumes and their associated, remotely monitorable, surface whitecaps. In: Kerman B.R. (Ed). Natural Physical Sources of Underwater Sound (1993), Kluwer Academic Publishers, Netherlands 503-517
11. Norton G.V., and Novarini J.C. Time domain modeling of pulse propagation in non-isotropic dispersive media. Mathematics and Computers in Simulation 69 (2005) 467-476
12. Norton G.V., and Novarini J.C. Finite-difference time-domain simulation of acoustic propagation in dispersive medium: an application to bubble clouds in the ocean. Computer Physics Communications 174 (2006) 961-965
13. Novarini J.C., Keiffer R.S., and Norton G.V. A model for variations in the range and depth dependence of the sound speed and attenuation induced by bubble clouds under wind-driven sea surfaces. IEEE Journal of Oceanic Engineering 23 (1998) 423-438
14. Ramahi O.M. Complementary operators: a method to annihilate artificial reflections arising from the truncation of the computational domain in the solution of partial differential equations. IEEE Transactions on Antennas Propagation 43 (1995) 697-704
15. Szabo T.L. Time domain nonlinear wave equations for lossy media. Proceedings of the 13th International Symposium on Nonlinear Acoustics. Bergen (1993) 89-94
16. Szabo T.L. Time domain wave equations for lossy media obeying a frequency power law. Journal of the Acoustic Society of America 96 (1994) 2061-2072
17. Waters K.R., Hughes M.S., Brandenburger G.H., and Miller J.G. On a time-domain representation of the Kramers-Krönig dispersion relations. Journal of the Acoustic Society of America 108 (2000) 2114-2119