A quasi-Newton reconstruction algorithm for a complex microwave imaging scanner environment

An iterative complex permittivity reconstruction technique for two‐dimensional near‐field imaging is presented. A particular feature of the algorithm is that it takes into account the complicated environment of a circular 434 MHz microwave imaging scanner, which was developed to conduct biomedical i...

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Bibliographic Details
Published in:Radio science 2003-04, Vol.38 (2), p.VIC 12-1-VIC 12-13
Main Authors: Franchois, A., Tijhuis, A. G.
Format: Article
Language:English
Subjects:
complex permittivity
inverse problems
microwave imaging
microwave scanner
nonlinear optimization
quasi-Newton optimization
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Summary:An iterative complex permittivity reconstruction technique for two‐dimensional near‐field imaging is presented. A particular feature of the algorithm is that it takes into account the complicated environment of a circular 434 MHz microwave imaging scanner, which was developed to conduct biomedical imaging experiments. This is accomplished in a computationally efficient way by means of an embedding technique. The reconstruction technique is further based on a quasi‐Newton optimization scheme with approximate line search, in which the Hessian matrix is iteratively updated with the Broyden–Fletcher–Goldfarb–Shanno (BFGS) formula. This way, second derivative information is exploited to a large extent. The technique is illustrated with complex permittivity reconstructions of homogeneous and inhomogeneous lossy dielectric cylinders of moderate and high contrast from simulated data.
ISSN:0048-6604
1944-799X
DOI:10.1029/2001RS002590