Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times

@article{Hoop2012RecoveringTI,
  title={Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times},
  author={M. D. Hoop and Sean F. Holman and E. Iversen and M. Lassas and B. Ursin},
  journal={arXiv: Analysis of PDEs},
  year={2012}
}
We analyze the inverse problem, originally formulated by Dix in geophysics, of reconstructing the wave speed inside a domain from boundary measurements associated with the single scattering of seismic waves. We consider a domain $\tilde M$ with a varying and possibly anisotropic wave speed which we model as a Riemannian metric $g$. For our data, we assume that $\tilde M$ contains a dense set of point scatterers and that in a subset $U\subset \tilde M$, modeling a region containing measurement… Expand
13 Citations

Figures from this paper

Reconstruction and stability in Gel'fand's inverse interior spectral problem
  • 12
  • PDF
Inverse scattering on non-compact manifolds with general metric
  • 1
  • PDF
RECONSTRUCTION OF A COMPACT MANIFOLD FROM THE SCATTERING DATA OF INTERNAL SOURCES
  • 4
  • Highly Influenced
  • PDF
An inverse problem for compact Finsler manifolds with the boundary distance map
  • 4
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 44 REFERENCES
Focusing Waves in Unknown Media by Modified Time Reversal Iteration
  • 20
  • PDF
Rigidity of broken geodesic flow and inverse problems
  • 37
  • PDF
Local lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
  • 57
  • PDF
Semiglobal boundary rigidity for Riemannian metrics
  • 68
  • PDF
Inverse Boundary Spectral Problems
  • 283
  • PDF
...
1
2
3
4
5
...