Newton-Kantorovich and modified gradient inversion algorithms applied to Ipswich data

K. Belkebir, J.M. Elissalt, J.M. Geffrin, Ch. Pichot

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Abstract

The present paper considers the application of the Newton- Kantorovich and modified-gradient methods to the Ipswich data. The object is assumed to be an inhomogeneous lossy dielectric cylinder of arbitrary cross section. Both inverse-scattering methods are based on electric-field integral representations. The Newton- Kantorovich technique builds up the solution by solving successively the forward problem and a linear inverse problem. This method needs regularization, and we use either the identity operator or a gradient operator for regularization. The modified-gradient method is iterative, as is the Newton algorithm, but does not involve a linearization at each step of the nonlinear inverse problem. Results of inversions with both methods, on two known impenetrable targets, are discussed.
Original languageEnglish
Pages (from-to)41-44
Number of pages4
JournalIEEE Antennas and Propagation Magazine
Volume38
Issue number3
DOIs
Publication statusPublished - 1996

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