Formulas for phase recovering from phaseless scattering data at fixed frequency

R. G. Novikov

doi:10.1016/j.bulsci.2015.04.005

Formulas for phase recovering from phaseless scattering data at fixed frequency

R. G. Novikov

IEPT RAS

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

Abstract

We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥. 2. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.

Original language	English
Pages (from-to)	923-936
Number of pages	14
Journal	Bulletin des Sciences Mathematiques
Volume	139
Issue number	8
DOIs	https://doi.org/10.1016/j.bulsci.2015.04.005
Publication status	Published - 1 Dec 2015

Keywords

Monochromatic scattering data
Phase recovering
Phaseless inverse scattering
Schrödinger equation

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10.1016/j.bulsci.2015.04.005

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title = "Formulas for phase recovering from phaseless scattering data at fixed frequency",

abstract = "We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥. 2. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.",

keywords = "Monochromatic scattering data, Phase recovering, Phaseless inverse scattering, Schr{\"o}dinger equation",

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

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Masson SAS.",

year = "2015",

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AB - We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥. 2. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.

KW - Monochromatic scattering data

KW - Phase recovering

KW - Phaseless inverse scattering

KW - Schrödinger equation

U2 - 10.1016/j.bulsci.2015.04.005

DO - 10.1016/j.bulsci.2015.04.005

M3 - Article

AN - SCOPUS:84949624992

SN - 0007-4497

VL - 139

SP - 923

EP - 936

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 8

ER -

Formulas for phase recovering from phaseless scattering data at fixed frequency

Abstract

Keywords

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