Multipole Theory and Algorithms for Target Support Estimation

Abstract EN

The inverse problem of estimating the smallest region of localization (minimum source region) of a source or scatterer that can produce a given radiation or scattered field is investigated with the help of the multipole expansion.

The results are derived in the framework of the scalar Helmholtz equation.

The proposed approach allows the estimation of possibly nonconvex minimum source regions.

The derived method is illustrated with an example relevant to inverse scattering.