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

Журнал Inverse Problems
ISSN: 0266-5611
Вых. Данные Год: 2017, Страницы: 095007 Страниц : 1 DOI: 10.1088/1361-6420/aa7a18
Ключевые слова phaseless data, inverse scattering problem, uniqueness theorem
Авторы Klibanov Michael V. 2 , Romanov Vladimir G. 1
Организации
1 Sobolev Institute of Mathematics SB RAS
2 University of North Carolina at Charlotte

Реферат: 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.
Библиографическая ссылка: Klibanov M.V. , Romanov V.G.
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
Inverse Problems. 2017. P.095007. DOI: 10.1088/1361-6420/aa7a18 WOS Scopus OpenAlex
Даты:
Поступила в редакцию: 2 мар. 2017 г.
Принята к публикации: 8 июн. 2017 г.
Опубликована online: 18 авг. 2017 г.
Идентификаторы БД:
Web of science: WOS:000407979500003
Scopus: 2-s2.0-85028422502
OpenAlex: W2594185299
Цитирование в БД:
БД Цитирований
Scopus 34
OpenAlex 20
Web of science 33
Альметрики: