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FMSP Lectures
Seminar information archive ～04/15｜Next seminar｜Future seminars 04/16～
2016/01/18
14:45-15:25 Room #126 (Graduate School of Math. Sci. Bldg.)
Tapio Helin (University of Helsinki)
Inverse scattering from random potential (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Helin.pdf
Tapio Helin (University of Helsinki)
Inverse scattering from random potential (ENGLISH)
[ Abstract ]
We consider an inverse scattering problem with a random potential. We assume that our far-field data at multiple angles and all frequencies are generated by a single realization of the potential. From the frequency-correlated data our aim is to demonstrate that one can recover statistical properties of the potential. More precisely, the potential is assumed to be Gaussian with a covariance operator that can be modelled by a classical pseudodifferential operator. Our main result is to show that the principal symbol of this
covariance operator can be determined uniquely. What is important, our method does not require any approximation and we can analyse also the multiple scattering. This is joint work with Matti Lassas and Pedro Caro.
[ Reference URL ]We consider an inverse scattering problem with a random potential. We assume that our far-field data at multiple angles and all frequencies are generated by a single realization of the potential. From the frequency-correlated data our aim is to demonstrate that one can recover statistical properties of the potential. More precisely, the potential is assumed to be Gaussian with a covariance operator that can be modelled by a classical pseudodifferential operator. Our main result is to show that the principal symbol of this
covariance operator can be determined uniquely. What is important, our method does not require any approximation and we can analyse also the multiple scattering. This is joint work with Matti Lassas and Pedro Caro.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Helin.pdf
