On determining a riemannian manifold from the Dirichlet-to-Neumann map
Inverse Scattering for Waveguides
We study the inverse scattering problem for a waveguide with cylindrical ends, , where each has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines up to an isometry.
Mathematics of Invisibility
We will describe recent some of the recent theoretical progress on making objects invisible to electromagnetic waves based on singular transformations.
Metric tensor estimates, geometric convergence, and inverse boundary problems.
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