Transmission eigenvalues with artificial background for explicit material index identification

Lorenzo Audibert; Lucas Chesnel; Houssem Haddar

doi:10.1016/j.crma.2018.04.015

Transmission eigenvalues with artificial background for explicit material index identification

Titre traduit de la contribution: Une identification d'indice explicite au moyen de valeurs propres de transmission pour un milieu de référence artificiel

Lamsid/EDF/R and D
Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We are interested in the problem of retrieving information on the refractive index n of a penetrable inclusion embedded in a reference medium from farfield data associated with incident plane waves. Our approach relies on the use of transmission eigenvalues (TEs) that carry information on n and that can be determined from the knowledge of the farfield operator F. In this note, we explain how to modify F into a farfield operator F^art=F−F˜ where F˜ is computed numerically, corresponding to well-chosen artificial background and for which the associated TEs provide more accessible information on n.

Titre traduit de la contribution	Une identification d'indice explicite au moyen de valeurs propres de transmission pour un milieu de référence artificiel
langue originale	Anglais
Pages (de - à)	626-631
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	356
Numéro de publication	6
Les DOIs	https://doi.org/10.1016/j.crma.2018.04.015
état	Publié - 1 juin 2018
Modification externe	Oui

Accès au document

10.1016/j.crma.2018.04.015

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{ff1e894c7c47483086a2a50e9904ddca,

title = "Transmission eigenvalues with artificial background for explicit material index identification",

abstract = "We are interested in the problem of retrieving information on the refractive index n of a penetrable inclusion embedded in a reference medium from farfield data associated with incident plane waves. Our approach relies on the use of transmission eigenvalues (TEs) that carry information on n and that can be determined from the knowledge of the farfield operator F. In this note, we explain how to modify F into a farfield operator Fart=F−F˜ where F˜ is computed numerically, corresponding to well-chosen artificial background and for which the associated TEs provide more accessible information on n.",

author = "Lorenzo Audibert and Lucas Chesnel and Houssem Haddar",

note = "Publisher Copyright: {\textcopyright} 2018 Acad{\'e}mie des sciences",

year = "2018",

month = jun,

day = "1",

doi = "10.1016/j.crma.2018.04.015",

language = "English",

volume = "356",

pages = "626--631",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "6",

}

TY - JOUR

T1 - Transmission eigenvalues with artificial background for explicit material index identification

AU - Audibert, Lorenzo

AU - Chesnel, Lucas

AU - Haddar, Houssem

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We are interested in the problem of retrieving information on the refractive index n of a penetrable inclusion embedded in a reference medium from farfield data associated with incident plane waves. Our approach relies on the use of transmission eigenvalues (TEs) that carry information on n and that can be determined from the knowledge of the farfield operator F. In this note, we explain how to modify F into a farfield operator Fart=F−F˜ where F˜ is computed numerically, corresponding to well-chosen artificial background and for which the associated TEs provide more accessible information on n.

AB - We are interested in the problem of retrieving information on the refractive index n of a penetrable inclusion embedded in a reference medium from farfield data associated with incident plane waves. Our approach relies on the use of transmission eigenvalues (TEs) that carry information on n and that can be determined from the knowledge of the farfield operator F. In this note, we explain how to modify F into a farfield operator Fart=F−F˜ where F˜ is computed numerically, corresponding to well-chosen artificial background and for which the associated TEs provide more accessible information on n.

UR - https://www.scopus.com/pages/publications/85046134003

U2 - 10.1016/j.crma.2018.04.015

DO - 10.1016/j.crma.2018.04.015

M3 - Article

AN - SCOPUS:85046134003

SN - 1631-073X

VL - 356

SP - 626

EP - 631

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

Transmission eigenvalues with artificial background for explicit material index identification

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation