874 research outputs found
On global uniqueness for an IBVP for the time-harmonic Maxwell equations
In this paper we prove uniqueness for an inverse boundary value problem
(IBVP) arising in electrodynamics. We assume that the electromagnetic
properties of the medium, namely the magnetic permeability, the electric
permittivity and the conductivity, are described by continuously differentiable
functions
Inverse scattering for a random potential
In this paper we consider an inverse problem for the -dimensional random
Schr\"{o}dinger equation . We study the scattering of
plane waves in the presence of a potential which is assumed to be a
Gaussian random function such that its covariance is described by a
pseudodifferential operator. Our main result is as follows: given the
backscattered far field, obtained from a single realization of the random
potential , we uniquely determine the principal symbol of the covariance
operator of . Especially, for this result is obtained for the full
non-linear inverse backscattering problem. Finally, we present a physical
scaling regime where the method is of practical importance.Comment: Previous version 48 pages; Current version 51 pages, 3 figures,
several references have been adde
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