A Banach Space Regularization Approach for Multifrequency Microwave Imaging

Claudio Estatico,Matteo Pastorino,Alessandro Fedeli,Andrea Randazzo

doi:10.1155/2016/9304371

Claudio Estatico, Matteo Pastorino + Show 2 more

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https://doi.org/10.1155/2016/9304371

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Abstract

A method for microwave imaging of dielectric targets is proposed. It is based on a tomographic approach in which the field scattered by an unknown target (and collected in a proper observation domain) is inverted by using an inexact-Newton method developed inLpBanach spaces. In particular, the extension of the approach to multifrequency data processing is reported. The mathematical formulation of the new method is described and the results of numerical simulations are reported and discussed, analyzing the behavior of the multifrequency processing technique combined with the Banach spaces reconstruction method.

Highlights

The regularization of ill-posed problems in Lp Banach spaces exhibits several advantages over the corresponding classical regularization in Hilbert spaces [1,2,3]
The above formulation is extended to multifrequency imaging, in which the use of more than one incident radiation results in an improved processing, due to the additional information included in the input data
The scattered field data are computed by a numerical code based on the method of moments [22] and corrupted by a Gaussian noise with zero mean value and variance corresponding to a fixed signal-to-noise ratio (SNR)

Summary

A Banach Space Regularization Approach for Multifrequency Microwave Imaging

A method for microwave imaging of dielectric targets is proposed. It is based on a tomographic approach in which the field scattered by an unknown target (and collected in a proper observation domain) is inverted by using an inexact-Newton method developed in Lp Banach spaces. The extension of the approach to multifrequency data processing is reported. The mathematical formulation of the new method is described and the results of numerical simulations are reported and discussed, analyzing the behavior of the multifrequency processing technique combined with the Banach spaces reconstruction method

Introduction

Mathematical Formulation

Numerical Results

Conclusions