Journal
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
Volume 71, Issue 9, Pages 4064-4079Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMTT.2023.3251573
Keywords
Nonhomogeneous media; Imaging; Green's function methods; Scattering; Permittivity; Microwave theory and techniques; Microwave imaging; Difference contraction integral equation (DCIE); inhomogeneous media; inverse scattering (IS); microwave imaging; multiscaling (MS)
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In this article, a novel inversion strategy is proposed to solve inverse scattering problems with inhomogeneous backgrounds. The strategy combines the multiscaling regularization scheme and the difference contraction integral equation formulation, which mitigates nonlinearity and ill-posedness to obtain reliable high-resolution reconstructions.
Practical applications of microwave imaging often require the solution of inverse scattering problems with inhomogeneous backgrounds. Toward this end, a novel inversion strategy, which combines the multiscaling (MS) regularization scheme and the difference contraction integral equation (DCIE) formulation, is proposed. Such an integrated approach mitigates the nonlinearity and the ill-posedness of the problem to obtain reliable high-resolution reconstructions of the unknown scattering profiles. The arising algorithmic implementation, denoted as MS-DCIE, does not require the computation of Green's function of the inhomogeneous background, and thus, it provides an efficient and effective way to deal with complex scenarios. The performance of the MS-DCIE is assessed by means of numerical and experimental tests in comparison with competitive state-of-the-art inversion strategies as well.
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