Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions

R. G. Novikov

doi:10.1007/s12220-014-9553-7

Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions

R. G. Novikov

Research output: Contribution to journal › Article › peer-review

Abstract

We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension d≥2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.

Original language	English
Pages (from-to)	346-359
Number of pages	14
Journal	Journal of Geometric Analysis
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/s12220-014-9553-7
Publication status	Published - 1 Jan 2016

Keywords

Phaseless inverse scattering
Scattering amplitude
Schrödinger equation

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10.1007/s12220-014-9553-7

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title = "Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions",

abstract = "We consider phaseless inverse scattering for the Schr{\"o}dinger equation with compactly supported potential in dimension d≥2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.",

keywords = "Phaseless inverse scattering, Scattering amplitude, Schr{\"o}dinger equation",

author = "Novikov, \{R. G.\}",

note = "Publisher Copyright: {\textcopyright} 2015, Mathematica Josephina, Inc.",

year = "2016",

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AB - We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension d≥2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.

KW - Phaseless inverse scattering

KW - Scattering amplitude

KW - Schrödinger equation

UR - https://www.scopus.com/pages/publications/84953639618

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DO - 10.1007/s12220-014-9553-7

M3 - Article

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JO - Journal of Geometric Analysis

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ER -

Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions

Abstract

Keywords

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