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A 3-D inverse medium problem in the frequency domain is considered. Anothername for this problem is Coefficient Inverse Problem. The goal is toreconstruct spatially distributed dielectric constants from scattering data.Potential applications are in detection and identification of explosive-liketargets. A single incident plane wave and multiple frequencies are used. A newnumerical method is proposed. A theorem is proved, which claims that a smallneigborhood of the exact solution of that problem is reached by this methodwithout any advanced knowledge of that neighborhood. We call this property ofthat numerical method "global convergence". Results of numerical experimentsfor the case of the backscattering data are presented.

A globally convergent method for a 3-D inverse medium problem for the generalized Helmholtz equation