Inverse Scattering in Inhomogeneous Background Media
Abstract
The inverse scattering problem is solved within the distorted wave Born approximation (DWBA) using a generalized time reversal based formulation. The theory is applicable to arbitrary (non-point) N(sub alpha) element transmitter arrays and N(sub beta) element receiver arrays and to scattering systems characterized by scattering potentials interrogated in a set of scattering experiments employing single or multiple temporal frequencies. The inversion scheme generates a pseudo-inverse reconstruction of the scattering potential based on the SVD of the N(sub beta) x N(sub alpha) multistatic data matrix considered as a mapping from the Hilbert space of scattering potentials to the vector space of N(sub beta) x N(sub alpha) x N(sub omega) complex N-tuples, where N(sub omega) is equal to the number of discrete temporal frequencies employed in the set of scattering experiments. The theory and results in this report have been previously published and appear in: 1. A. J. Devaney and M. Dennison, "Inverse Scattering in Inhomogeneous Background Media," Inverse Problems 19, No. 4 (August 2003), p855-870; 2. M. Dennison and A. J. Devaney, "Inverse Scattering in Inhomogeneous Background Media: Part II, SVD analysis and multiple frequency case," Inverse Problems 20 (2004), p1307-1324.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 2005
- Accession Number
- ADA441340
Entities
People
- Anthony J. Devaney