Seismic scattering from a spherical inclusion eccentrically located within a homogeneous, spherical host: Theoretical derivation

Waves Random Media

Volumn 13, Issue 3, 2003, Pages 177-190

  Videen, Gorden ^a  

^a U S ARMY RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; SEISMOLOGY; VECTORS;

SEISMIC SCATTERING;

ELASTIC WAVES;

EID: 0043198626     PISSN: 09597174     EISSN: None     Source Type: Journal    
DOI: 10.1088/0959-7174/13/3/303     Document Type: Article

References (32)

1. Ben-Menahem A and Singh S J 1981 Seismic Waves and Sources (New York: Springer)
2. Bobbert P A and Vlieger J 1986 Light scattering by a sphere on a substrate Physica A 137 209-41
3. Bohren C F and Huffman D R 1983 Absorption and Scattering of Light by Small Particles (New York: Wiley)
4. Chapman C H and Phinney R A 1972 Diffracted seismic waves Seismology Body Waves and Sources (Methods in Computational Physics vol 12) ed B A Bolt (New York: Academic) pp 165-230
5. Cruzan O R 1962 Translational addition theorems for spherical vector wavefunctions Q. Appl. Math. 20 33-40
6. Dahlen F A and Tromp J 1998 Theoretical Global Seismology (Princeton, NJ: Princeton University Press) pp 310-11
7. Dubrovskiy V A and Morochnik V S 1989 Nonstationary scattering of elastic waves by spherical inclusion Izv. Earth Phys. 25 679-86
8. Edmonds A R 1957 Angular Momentum in Quantum Mechanics (Princeton, NJ: Princeton University Press) pp 45-51
9. Einspruch N G, Witterholt E J and Truell R 1960 Scattering of a plane transverse wave by a spherical obstacle in an elastic medium J. Appl. Phys. 31 806-18
10. Friederich W 1999 Propagation of seismic shear and surface waves in a laterally heterogeneous mantle by multiple forward scattering Geophys. J. Int. 136 180-204
11. Glenn L A, Ladd A J C, Moran B and Wilson K A 1985 Elastic radiation from explosively-loaded ellipsoidal cavities in an unbounded medium Geophys. J. R. Astron. Soc. 86 231-42
12. Maupin V 2001 A multiple-scattering scheme for modelling surface wave propagation in isotropicand anisotropic three-dimensional structures Geophys. J. Int. 146 332-48
13. Rial J A and Moran B 1986 Radiation patterns for explosively-loaded axisymmetric cavities in an elastic medium: analytic approximations and numerical results Geophys. J. R. Astron. Soc. 86 855-62
14. Sato H and Fehler M C 1998 Seismic Wave Propagation and Scattering in the Heterogeneous Earth (New York: Springer)
15. Slichter L B 1961 The fundamental free mode of the Earth's inner core Proc. Natl Acad. Sci. 47 186-90
16. Smith M L 1976 Translational inner core oscillations of a rotating slightly elliptical Earth J. Geophys. Res. 81 3055-65
17. Stein S 1961 Addition theorems for spherical wavefunctions Q. Appl. Math. 19 15-24
18. Stratton J A 1941 Electromagnetic Theory (New York: McGraw-Hill)
19. Thompson W Jr 1973 Acoustic radiation from a spherical source embedded eccentrically within a fluid sphere J. Acoust. Soc. Am. 54 1694-707
20. Varatharajulu V and Pao Y-H 1976 Scattering matrix for elastic waves I. Theory J. Acoust. Soc. Am. 60 556-66
21. Videen G, Ngo D, Chýlek P and Pinnick R G 1995 Light scattering from a sphere with an irregular inclusion J. Opt.Soc. Am. A 12 922-8
22. Waterman P C 1969 New formulation of acoustic scattering J. Acoust. Soc. Am. 45 1417-29
23. Waterman P C 1976 Matrix theory of elastic waves scattering J. Acoust. Soc. Am. 60 567-80
24. Wiscombe W J 1980 Improved Mie scattering algorithms Appl. Opt. 19 1505-9
25. Woodhouse J H and Dahlen F A 1978 The effect of a general aspherical perturbation on the free oscillations of the Earth Geophys. J. R. Astron. Soc. 53 335-54
26. Wu R-S 1985 Multiple scattering and energy transfer of seismic waves - separation of scattering effect from intrinsic attenuation - I. Theoretical modelling Geophys. J. R. Astron. Soc. 82 57-80
27. Wu R-S and Aki K 1985 Scattering characteristics of elastic waves by an elastic heterogeneity Geophysics 50 582-595
28. Ying C F and Truell R 1956 Scattering of a plane longitudinal wave by a spherical obstacle in an isotropically elastic solid J. Appl. Phys. 27 1086-97
29. Zhao L and Dahlen F A 1993 Asymptotic eigenfrequencies of the Earth's normal modes Geophys. J. Int. 115 729-58
30. Zhao L and Dahlen F A 1995 Asymptotic normal modes of the Earth: II. Eigenfunctions Geophys. J. Int. 121 585-626
31. Zhao L and Dahlen F A 1996 Mode-sum to ray-sum transformation in aspherical and an aspherical earth Geophys. J. Int. 126 389-412
32. Zhao L-S and Harkrider D G 1992 Wave fields from an off-centre explosion in an embedded solid sphere Bull. Seismol. Soc. Am. 82 1927-55