The local-minima question that arises in the framework of a quadratic approach to inverse-scattering problems is investigated. In particular, a sufficient condition for the absence of local minima is given, and some guidelines to ensure the reliability of the algorithm are outlined for the case of data not belonging to the range of the relevant quadratic operator. This is relevant also when an iterated solution procedure based on a quadratic approximation of the electromagnetic scattering at each step is considered.
© 2002 Optical Society of America
Original Manuscript: March 27, 2002
Revised Manuscript: July 2, 2002
Manuscript Accepted: July 2, 2002
Published: December 1, 2002
Raffaele Persico, Francesco Soldovieri, and Rocco Pierri, "Convergence properties of a quadratic approach to the inverse-scattering problem," J. Opt. Soc. Am. A 19, 2424-2428 (2002)