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

Lamsid/EDF/R and D
Université Paris-Saclay

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

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 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.

Translated title of the contribution	Une identification d'indice explicite au moyen de valeurs propres de transmission pour un milieu de référence artificiel
Original language	English
Pages (from-to)	626-631
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	356
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2018.04.015
Publication status	Published - 1 Jun 2018
Externally published	Yes

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10.1016/j.crma.2018.04.015

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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.",

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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.

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DO - 10.1016/j.crma.2018.04.015

M3 - Article

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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ER -

Transmission eigenvalues with artificial background for explicit material index identification

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