Computational Mathematics and Scientific Computing Seminar

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Inverse medium scattering with multiple frequency data and multiple angles of incidence

Speaker: Carlos Borges, CIMS

Location: Warren Weaver Hall 1302

Date: March 4, 2016, 10 a.m.

Synopsis:

We consider the problem of reconstructing the medium from scattering measurements. The input data is assumed to be the far-field generated when a plane wave impinges on an unknown medium from multiple directions and at multiple frequencies. It is well known that this inverse scattering problem is both ill posed and nonlinear. We will use the recursive linearization algorithm of Chen to turn this problem in a sequence of well-posed problems. During the course of solving the inverse problem, we need to compute the solution to a large number of forward scattering problems. For this, we use high-order accurate PDE solver coupled with a fast direct solver.