Stability for quantitative photoacoustic tomography revisited

Autor: Eric Bonnetier, Mourad Choulli, Faouzi Triki

Publikováno v: Research in the Mathematical Sciences
Research in the Mathematical Sciences, 2022, 9 (24), ⟨10.1007/s40687-022-00322-6⟩

This paper is concerned with the stability issue in determining absorption and diffusion coefficients in quantitative photoacoustic imaging. Assuming that the optical wave is generated by point sources in a region where the optical coefficients are k

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab72315981074e2ba6e46f5cd7f016c
https://doi.org/10.1007/s40687-022-00322-6

Characterization of the essential spectrum of the Neumann–Poincaré operator in 2D domains with corner via Weyl sequences

Autor: Hai Zhang, Eric Bonnetier

Publikováno v: Revista Matemática Iberoamericana. 35:925-948

The Neumann–Poincare (NP) operator naturally appears in the context of metamaterials as it may be used to represent the solutions of elliptic transmission problems via potentiel theory. In particular, its spectral properties are closely related to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::debeccc7ce7698f0d9212d7712e34bbe
https://doi.org/10.4171/rmi/1075

Homogenization of the eigenvalues of the Neumann-Poincaré operator

Autor: Faouzi Triki, Eric Bonnetier, Charles Dapogny

Publikováno v: Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, 2019, 234 (2), pp.777-855
Archive for Rational Mechanics and Analysis, 2019, 234 (2), pp.777-855. ⟨10.1007/s00205-019-01402-8⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2019, 234 (2), pp.777-855. ⟨10.1007/s00205-019-01402-8⟩

In this article, we investigate the spectrum of the Neumann–Poincare operator $${{\mathcal {K}}}_\varepsilon ^*$$ (or equivalently, that of the associated Poincare variational operator $$T_\varepsilon $$ ) associated to a periodic distribution of s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b74868f0039c128847e0e8cea1177a83
https://hal.archives-ouvertes.fr/hal-01458747/document

The plasmonic resonances of a bowtie antenna

Autor: Faouzi Triki, Charles Dapogny, Eric Bonnetier, Hai Zhang

Publikováno v: Analysis in Theory and Applications
Analysis in Theory and Applications, Springer Verlag (Germany), 2019, 35 (1), pp.85-116. ⟨10.4208/ata.OA-0011⟩
Analysis in Theory and Applications, 2019, 35 (1), pp.85-116. ⟨10.4208/ata.OA-0011⟩
Analysis in Theory and Applications, Springer Verlag (Germany), In press

International audience; Metallic bowtie-shaped nanostructures are very interesting objects in optics, due to their capability of localizing and enhancing electromagnetic fields in the vicinity of their central neck. In this article, we investigate th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03dfc21df8aa765280b67f3588b005c8

Elliptic estimates in composite media with smooth inclusions: an integral equation approach

Autor: Eric Bonnetier, Faouzi Triki, Michael Vogelius, Habib Ammari

Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2014, 48 (2), pp.453-495. ⟨10.24033/asens.2249⟩

International audience; We consider a scalar elliptic equation for a composite medium consisting of homogeneous C^{1, α0} inclusions, 0< α0≤ 1, embedded in a constant matrix phase. When the inclusions are separated and are separated from the boun

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78ae46bd986ce1ea696579df39a9af6a
https://doi.org/10.24033/asens.2249