An inexact-Newton method for short-range microwave imaging within the second-order Born approximation

• Published in: IEEE transactions on geoscience and remote sensing Vol. 43; no. 11; pp. 2593 - 2605
• Main Authors: Estatico, C., Pastorino, M., Randazzo, A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied geophysics; Approximation methods; Born approximation; Dielectrics; Earth sciences; Earth, ocean, space; Exact sciences and technology; Image reconstruction; Imaging; Inspection; Internal geophysics; Inverse problems; inverse scattering; iterative regularization; Mathematical analysis; Mathematical models; Microwave frequencies; Microwave imaging; Microwave theory and techniques; Microwaves; Multilayers; Newton methods; Scattering; Working environment noise; microwaves; models; inverse problem; wave scattering; dielectric properties; remote sensing; inverse scattering; Dielectrics; imaging; Born approximation; frequency; iterative regularization; Newton methods
• ISSN: 0196-2892; 1558-0644
• DOI: 10.1109/TGRS.2005.856631

A new approach to noninvasive inspection of dielectric targets at microwave frequencies is proposed. Cylindrical dielectric objects are reconstructed under the second-order Born approximation. A multi-illumination configuration is considered. The continuous model is discretized by the moment method and an efficient inexact-Newton method is applied. The dielectric profile is iteratively reconstructed starting from the measured scattered data, which are related to the unknown target through the inverse scattering equations written in a variational setting. Several numerical results are reported, which are aimed at assessing the capabilities of the approach in dealing with the nonlinear ill-posed inverse problem associated to the short-range microwave imaging. Single, multilayer, and separate cylinders are reconstructed in noiseless and noisy environments.