Moment-screen method for wave propagation in a refractive medium with random scattering

Waves in Random and Complex Media

Volumn 19, Issue 3, 2009, Pages 369-391

  Wilson, D Keith ^a   Ostashev, Vladimir ^b,c   Lewis, Matthew ^a  

^a Engineer Research and Development Center   (United States)

^b NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^c NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT METHOD; GROUND ATMOSPHERE; LOW FREQUENCY; MATRIX; MEAN-SQUARE; NUMERICAL SOLUTION; PARABOLIC EQUATION; PHASE SCREEN; RANDOM SCATTERING; SECOND MOMENTS; SOUND FIELDS; SOUND PRESSURES; WAVEFIELDS;

ACOUSTIC FIELDS; ACOUSTIC WAVE SCATTERING;

METHOD OF MOMENTS;

EID: 70749138300     PISSN: 17455030     EISSN: 17455049     Source Type: Journal    
DOI: 10.1080/17455030802647462     Document Type: Article

References (24)

1. K.E. Gilbert, R. Raspet, and X. Di, Calculation of turbulence effects in an upward refracting atmosphere, J. Acoust. Soc. Amer. 87 (1990), pp. 2428-2437.
2. P. Chevret, P. Blanc-Benon, and D. Juvé, A numerical model for sound propagation through a turbulent atmosphere near the ground, J. Acoust. Soc. Amer. 100 (1996), pp. 3587-3599.
3. E.M. Salomons, Fluctuations of spherical waves in a turbulent atmosphere: Effect of the axisymmetric approximation in computational methods, J. Acoust. Soc. Amer. 108 (2000), pp. 1528-1534.
4. D.K. Wilson, i A turbulence spectral model for sound propagation in the atmosphere that incorporates shear and buoyancy forcings i, J. Acoust. Soc. Amer. 108 (2000), pp. 2021-2038.
5. D. Tielbürger, S. Finette, and S.Wolf, Acoustic propagation through an internal wave field in a shallow water waveguide, J. Acoust. Soc. Amer. 101 (1997), pp. 789-808.
6. S.M. Flatté and M.D. Vera, Comparison between ocean-acoustic fluctuations in parabolicequation simulations and estimates from integral approximations, J. Acoust. Soc. Amer. 114 (2003), pp. 697-706.
7. T. Chen, P. Ratilal, and N.C. Makris, Mean and variance of the forward field propagated through three-dimensional random internal waves in a continental-shelf waveguide, J. Acoust. Soc. Amer. 118 (2005), pp. 3560-3574.
8. H. Sato and M.C. Fehler, Synthesis of seismogram envelopes in heterogeneous media, in Advances in Geophysics, Vol. 48, Elsevier, San Diego, 2007, pp. 561-596.
9. K.E.Gilbert, X. Di, S.Khanna,M.J.Otte, and J.C.Wyngaard, Electromagneticwave propagation through simulated atmospheric refractivity fields, Radio Sci. 34 (1999), pp. 1413-1435.
10. L. Dozier and F. Tappert, Statistics of normal mode amplitudes in a random ocean, J. Acoust. Soc. Amer. 63 (1978), pp. 353-365.
11. A.G. Voronovich and V.E. Ostashev, Low frequency sound scattering by internal waves in the ocean, J. Acoust. Soc. Amer. 119 (2006), pp. 1406-1419.
12. A.K. Morozov and J.A. Colosi, Stochastic differential equation analysis for sound scattering by random internal waves in the ocean, Acoust. Phys. 53 (2007), pp. 335-347.
13. E. Mandine and M.C. Pelissier, Direct stochastic treatment of electromagnetic propagation problems in a random range-depending medium, using a PE model, in Proceedings of the 1996 Battlespace Atmospherics Conference, J.H. Richter and K.D. Anderson, eds., NCCOSC, San Diego, 1996, pp. 113-121.
14. D.K.Wilson and V.E. Ostashev, Statistical moments of the sound field propagating in a random, refractive medium near an impedance boundary J. Acoust. Soc. Amer. 109 (2001), pp. 1909- 1922.
15. M. West, K. Gilbert, and R.A. Sack, A tutorial on the parabolic equation (PE) model used for long range sound propagation in the atmosphere, Appl. Acoust. 37 (1992), pp. 31-39.
16. J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comp. Phys. 59 (1985), pp. 308-323.
17. R. Buckley, Diffraction by a random phase-changing screen: A numerical experiment, J. Atmos. Terr. Phys. 37 (1975), pp. 1431-1446.
18. J.M. Martin and S.M. Flatté, Intensity images and statistics from numerical simulation of wave propagation in 3-D random media, Appl. Optics 27 (1988), pp. 2111-2126.
19. X. Di and K.E. Gilbert, The effect of turbulence and irregular terrain on outdoor sound propagation, in Sixth International Symposium on Long-Range Sound Propagation, D.I. Havelock and M.R. Stinson, eds., National Research Council Canada, Ottawa, 1994, pp. 315-333.
20. E.M. Salomons, Computational Atmospheric Acoustics, Kluwer, Dordrecht, 2001.
21. D.K. Wilson, Relaxation-matched modeling of propagation through porous media, including fractal pore structure, J. Acoust. Soc. Amer. 94 (1993), pp. 1136-1145.
22. K.E. Gilbert and X. Di, A fast Green's function method for one-way sound propagation in the atmosphere, J. Acoust. Soc. Amer. 94 (1993), pp. 2343-2352.
23. E.M. Salomons, Improved Green's function parabolic equation method for atmospheric sound propagation, J. Acoust. Soc. Amer. 104 (1998), pp. 100-111.
24. R.L. Burden and J.D. Faires, Numerical Analysis, 3rd ed., Prindle Weber & Schmidt, Boston, 1985.