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An extended-DORT method and its application in a cavity configuration. (English) Zbl 1259.78024

The authors present a method for time-harmonic inverse medium scattering problems. The method is motivated by the idea that many known sampling methods only differ in the weighting coefficients applied to each of the back-propagating vectors, and that these parameters can be very difficult to determine, in particular, when dealing with real data. Thus the idea is to propose a natural weighting function, exempt from any kind of a tuning parameter. A new shape indicator based on the singular value decomposition of the multi-static transfer matrix which corresponds to the extension of the DORT (decomposition of the time reversal operator) method to the case of extended targets is proposed, and its convergence properties are studied analytically. The method is tested against real data from a microwave circular scanner (two-dimensional environment).

MSC:

78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
35R30 Inverse problems for PDEs
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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