Signal subspace-based non-iterative exact inverse scattering of point targets

This work investigates, within exact scattering theory, signal subspace approaches for the inverse scattering in a known but rather arbitrary embedding background medium of an unknown total scatterer composed of a collection of M small (point-like) scattering centers (targets) that are located at unknown positions X_m,m = 1,2,... ,M and have unknown scattering strengths. This problem is investigated within the context of source-field systems describable in the frequency domain by the inhomogeneous Helmholtz equation. Multiple scattering between the targets is modeled in this research within exact scattering theory which for point targets takes the form of the Foldy-Lax equations. Envisaged applications of this nonlinear signal processing include target detection in clutter