Microlocal analysis of the scattering angle transform

Communications in Partial Differential Equations

Volumn 27, Issue 9-10, 2002, Pages 1879-1900

  Stolk, Christiaan C ^a  

^a Rice University   (United States)

Author keywords

Inverse problem; Microlocal analysis; Seismology

Indexed keywords

EID: 0036913561     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120016131     Document Type: Article

References (17)

1. Beylkin, G. Imaging of Discontinuities in the Inverse Scattering Problem by Inversion of a Causal Generalized Radon Transform. J. Math. Phys. 1985, 26(1), 99-108.
2. Kroode, A.P.E. ten; Smit, D.J.; Verdel, A.R. A Microlocal Analysis of Migration. Wave Motion 1998, 28, 149-172.
3. Duistermaat, J.J. Fourier Integral Operators; Birkhäuser: Boston, 1996.
4. Hörmander, L. The Analysis of Linear Partial Differential Operators; Springer-Verlag: Berlin, 1985; Vol. 4.
5. François Treves. Introduction to Pseudodifferential and Fourier Integral Operators; Plenum Press: New York, 1980; Vol. 2.
6. Stolk, C.C. Microlocal Analysis of a Seismic Linearized Inverse Problem. Wave Motion 2000, 32, 267-290.
7. Nolan, C.J.; Symes, W.W. Global Solution of a Linearized Inverse Problem for the Wave Equation. Commun. Part. Diff. Eq. 1997, 22(5-6), 919-952.
8. Xu, S.; Chauris, H.; Lambaré, G.; Noble, M. Common Angle Migration: A Strategy for Imaging Complex Media. Geophysics 2001, 66(6), 1877-1894.
9. Brandsberg-Dahl, S.; Hoop, M. de; Ursin, B. Velocity Analysis in the Common Scattering-Angle/Azimuth Domain. In 69th Ann. Internat. Mtg.; Soc. of Expl. Geophys.: Tulsa, Oklahoma, 1999; 1715-1718.
10. Prucha, M.; Biondi, B.; Symes, W. Angle-Domain Common Image Gathers by Wave-Equation Migration. In 69th Ann. Internat. Mtg.; Soc. Of Expl. Geophys.: Tulsa, Oklahoma, 1999; 824-827.
11. Hoop, M.V. de; Symes, W.W.; Brandsberg-Dahl, S.; Ursin, B. Tomographic Migration Velocity Analysis by Differential Semblance Optimization with Respect to Scattering-Angle/Azimuth in Anisotropic Elastic Media. Technical Report CWP-374, Center for Wave Phenomena, Colorado School of Mines: Golden, Colorado, 2001.
12. Sava, P.; Biondi, B.; Fomel, S. Amplitude-Preserved Common Image Gathers by Wave-Equation Migration. In 71st Ann. Internat. Mtg.; Soc. of Expl. Geophys.: Tulsa, Oklahoma, 2001; 296-299.
13. Stolk, C.C.; De Hoop, M.V. Microlocal Analysis of Seismic inverse Scattering in Anisotropic Elastic Media. Comm. Pure Appl. Math. 2002, 55(3), 261-301.
14. Hörmander, L. The Analysis of Linear Partial Differential Operators; Springer-Verlag: Berlin, 1985; Vol. 3.
15. Rakesh. A linearized Inverse Problem for the Wave Equation. Commun. Part. Diff. Eq. 1988, 13(5), 573-601.
16. Hörmander, L. Linear Partial Differential Operators; Academic Press Inc.: New York, 1963.
17. Burridge, R.; Beylkin, G. On Double Integrals over Spheres. Inverse Problems 1988, 4(1), 1-10.