Uniqueness of a 3-D coefficient inverse scattering problem without the phase information

We use a new method to prove the 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 r...

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Published inInverse problems Vol. 33; no. 9; pp. 95007 - 95016
Main Authors Klibanov, Michael V, Romanov, Vladimir G
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2017
Subjects
inverse scattering problem
phaseless data
uniqueness theorem
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ISSN0266-5611
1361-6420
DOI10.1088/1361-6420/aa7a18

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Abstract We use a new method to prove the 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 interest in this problem. Applications of this problem are in imaging of nanostructures and biological cells.
AbstractList We use a new method to prove the 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 interest in this problem. Applications of this problem are in imaging of nanostructures and biological cells.
Author Klibanov, Michael V
Romanov, Vladimir G
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Snippet We use a new method to prove the uniqueness theorem for a coefficient inverse scattering problem without the phase information for the 3-D Helmholtz equation....
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SubjectTerms inverse scattering problem
phaseless data
uniqueness theorem
Title Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
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