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Register a new userUniqueness of a 3-D coefficient inverse scattering problem without the phase information
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Added by
Michael Klibanov V.
Publication date
2017
fields
Physics
and research's language is
English
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We use a new method to prove uniqueness theorem for a coefficient inverse scattering problem without the phase information for the 3-D Helmholtz equation. We consider the case when only the modulus of the scattered wave field is measured and the phase is not measured. The spatially distributed refractive index is the subject of the interest in this problem. Applications of this problem are in imaging of nanostructures and biological cells.
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This paper gives a new and short proof of existence and uniqueness of the Polubarinova-Galin equation. The existence proof is an application of the main theorem in Lins paper. Furthermore, we can conclude that every strong solution can be approximated by many strong polynomial solutions locally in time.
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