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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 14, Issue 4 (Jul 2006)


Wave field continuation with multiple coverage systems

G. M. Tsibulchik
  • Institute of Computational Mathematics and Mathematical Geophysics, Acad. Lavrent'ev prosp., 6, Novosibirsk, 630090, Russia. E-mail:

The inverse problem of wave scattering for a system of data collected at the observation surface with multiple coverage of sources and receivers is considered. It is shown that this redundant data system is equivalent to the configuration studied previously, in which the receiver point coincides with the source point: in both cases the wave field continuation back in time reduces the scattering problem considered in a linearized approximation to the Cauchy problem (that with instantaneously actuated secondary field sources represented by sought-for inhomogeneities) in the reference medium with a "half" value of wave velocity.

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Published in Print: 2006-07-01

Citation Information: Journal of Inverse and Ill-posed Problems jiip, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939406777571030. Export Citation

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