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Description

Imaging of obscured targets in random media is a difficult and important problem. One of the central questions is that of stability which is particularly relevant to imaging in stochastic media. A main goal of the research is to develop a general criterion for multiple-frequency array imaging of multiple targets in stochastic media. An important feature of the cluttered media we considered here is that the coherent or mean signals do not vanish. It is called Rician fading medium in communication. In the talk, I will first introduce the set-up of the imaging problems, including Time-reversal. Then the stabilities of the imaging function are proved both in the passive array and active array models. Foldy-Lax formulas are used in order to find the exact wave field of the random media. Numerical simulations of the media with randomly distributed point clutter show the consistency with the analysis.