TY - JOUR

T1 - Newton-Kantorovich and modified gradient inversion algorithms applied to Ipswich data

AU - Belkebir, K.

AU - Elissalt, J.M.

AU - Geffrin, J.M.

AU - Pichot, Ch.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

U2 - 10.1109/MAP.1996.511952

DO - 10.1109/MAP.1996.511952

M3 - Article

SN - 1045-9243

VL - 38

SP - 41

EP - 44

JO - IEEE Antennas and Propagation Magazine

JF - IEEE Antennas and Propagation Magazine

IS - 3

ER -