A Sparsity Regularization Approach to the Electromagnetic Inverse Scattering Problem

A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering

We present a computational framework for the inverse medium problem in scattering, i. e. we look at discretization, reconstruction and numerical performance. The Helmholtz equation in two and three dimensions is used as a physical model of scattering. Point sources as well as plane waves are taken into account as incident fields. Further, near and far field measurements are considered. For the ...

The Inverse Electromagnetic Scattering Problem for Screens

We consider the inverse electromagnetic scattering problem for perfectly conducting screens. We solve this problem by modifying the linear sampling method formulated in [3] for the case of scattering obstacles with nonempty interior. Numerical examples are given for screens in R.

A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization

In this paper, we propose an algorithm for numerical solving an inverse non-linear diusion problem. In additional, the least-squares method is adopted tond the solution. To regularize the resultant ill-conditioned linear system ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con-rm the utility of th...

An inverse electromagnetic scattering problem for cavity

We consider the inverse electromagnetic scattering problem of determining the shape of a perfectly conducting cavity from measurement of scattered electric field due to electric dipole sources on a surface inside the cavity. We prove a reciprocity relation for the scattered electric field and a uniqueness theorem for the inverse problem. Then the near field linear sampling method is employed to...

Sparsity regularization in inverse problems