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

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.
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https://hal.archives-ouvertes.fr/hal-00438193
Contributor : Jean-Michel Geffrin <>
Submitted on : Wednesday, December 2, 2009 - 6:40:05 PM
Last modification on : Thursday, April 5, 2018 - 12:30:04 PM

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Kamal Belkebir, Jean-Manuel Elissalt, Jean-Michel Geffrin, Christian Pichot. Newton-Kantorovich and modified gradient-inversion algorithms applied to Ipswich data. IEEE antennas & propagation magazine, 1996, 38 (3), pp. 41-44. ⟨hal-00438193⟩

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