### 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 language | English |
---|---|

Pages (from-to) | 41-44 |

Number of pages | 4 |

Journal | IEEE Antennas and Propagation Magazine |

Volume | 38 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1996 |

## Fingerprint Dive into the research topics of 'Newton-Kantorovich and modified gradient inversion algorithms applied to Ipswich data'. Together they form a unique fingerprint.

## Cite this

Belkebir, K., Elissalt, J. M., Geffrin, J. M., & Pichot, C. (1996). Newton-Kantorovich and modified gradient inversion algorithms applied to Ipswich data.

*IEEE Antennas and Propagation Magazine*,*38*(3), 41-44. https://doi.org/10.1109/MAP.1996.511952