
Modified sampling method with near field measurements
This paper investigates the inverse scattering problems using sampling m...
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Reduced Order Model Approach to Inverse Scattering
We study an inverse scattering problem for a generic hyperbolic system o...
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Inverse scattering by a random periodic structure
This paper develops an efficient numerical method for the inverse scatte...
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Numerical reconstruction of radiative sources in an absorbing and nondiffusing scattering medium in two dimensions
We consider the two dimensional quantitative imaging problem of recoveri...
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Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
We study the numerical solution of forward and inverse acoustic scatteri...
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Asymptotics for metamaterial cavities and their effect on scattering
It is wellknown that optical cavities can exhibit localized phenomena r...
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A mathematical and numerical framework for gradient metasurfaces built upon periodically repeating arrays of Helmholtz resonators
In this paper a mathematical model is given for the scattering of an inc...
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The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity
In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such scattered wave fields are due to sources emitted on the same surface. We first prove that the measurements uniquely determine the shape of the cavity, where we make use of a boundary value problem called the exterior transmission problem. We then complete the inverse scattering problem by designing the linear sampling method to reconstruct the cavity. Numerical examples are further provided to illustrate the viability of our algorithm.
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