Abstract
We consider the inverse problem of determining a Riemannian metric in R n which is euclidean outside a ball from scattering information. This is a basic inverse scattering problem in anisotropic media. By looking at the wave front set of the scattering operator we are led to consider the “classical” problem of determining a Riemannian metric by measuring the travel times of geodesics passing through the domain. We survey some recent developments on this problem.
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Uhlmann, G. (2000). Inverse Scattering in Anisotropic Media. In: Colton, D., Engl, H.W., Louis, A.K., McLaughlin, J.R., Rundell, W. (eds) Surveys on Solution Methods for Inverse Problems. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6296-5_12
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DOI: https://doi.org/10.1007/978-3-7091-6296-5_12
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