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Communications in Partial Differential Equations Volume 38, 2013 - Issue 10
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Original Articles

Reconstruction of a Piecewise Smooth Absorption Coefficient by an Acousto-Optic Process

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, Paris, FranceCorrespondence[email protected]
,
Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, Paris, France
,
Loc Hoang Nguyen Department of Mathematics and Applications, Ecole Normale Supérieure, Paris, France
&
Laurent Seppecher Department of Mathematics and Applications, Ecole Normale Supérieure, Paris, France
Pages 1737-1762 | Received 08 Jun 2012, Accepted 12 Apr 2013, Published online: 06 Sep 2013

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Mourad Hrizi & Maatoug Hassine. (2021) Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach. Applicable Analysis 100:4, pages 893-922.
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Articles from other publishers (16)

Ruchi Guo, Jiahua Jiang & Yi Li. (2023) Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method. Journal of Scientific Computing 95:1.
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Mohammadreza Omidali, Ali Mardanshahi, Mariella Särestöniemi, Zuomin Zhao & Teemu Myllylä. (2023) Acousto−Optics: Recent Studies and Medical Applications. Biosensors 13:2, pages 186.
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Francis Chung, Tianyu Yang & Yang Yang. (2020) Ultrasound modulated bioluminescence tomography with a single optical measurement. Inverse Problems 37:1, pages 015004.
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Francis J Chung, Ru-Yu Lai & Qin Li. (2020) On diffusive scaling in acousto-optic imaging. Inverse Problems 36:8, pages 085011.
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Francis J Chung, Jeremy G Hoskins & John C Schotland. (2020) Radiative transport model for coherent acousto-optic tomography. Inverse Problems 36:6, pages 064004.
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Francis J. Chung, Jeremy G. Hoskins & John C. Schotland. (2020) Coherent acousto-optic tomography with diffuse light. Optics Letters 45:7, pages 1623.
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John C. Schotland. 2020. A Tribute to Emil Wolf. A Tribute to Emil Wolf 347 380 .
Mourad Choulli & Faouzi Triki. (2018) Hölder stability for an inverse medium problem with internal data. Research in the Mathematical Sciences 6:1.
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Jacqueline Gunther & Stefan Andersson-Engels. (2017) Review of current methods of acousto-optical tomography for biomedical applications. Frontiers of Optoelectronics 10:3, pages 211-238.
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Habib Ammari, Laure Giovangigli, Loc Hoang Nguyen & Jin-Keun Seo. (2017) Admittivity imaging from multi-frequency micro-electrical impedance tomography. Journal of Mathematical Analysis and Applications 449:2, pages 1601-1618.
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Jeremy G. Hoskins & John C. Schotland. (2017) Acousto-optic effect in random media. Physical Review E 95:3.
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Giovanni S. Alberti & Habib Ammari. (2017) Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging. Applied and Computational Harmonic Analysis 42:2, pages 319-349.
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Habib Ammari, Alden Waters & Hai Zhang. (2015) Stability analysis for Magnetic Resonance Elastography. Journal of Mathematical Analysis and Applications 430:2, pages 919-931.
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Mourad Choulli & Faouzi Triki. (2015) New Stability Estimates for the Inverse Medium Problem with Internal Data. SIAM Journal on Mathematical Analysis 47:3, pages 1778-1799.
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Yat Tin Chow, Kazufumi Ito, Keji Liu & Jun Zou. (2015) Direct Sampling Method for Diffusive Optical Tomography. SIAM Journal on Scientific Computing 37:4, pages A1658-A1684.
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Habib Ammari, Loc Hoang Nguyen & Laurent Seppecher. (2014) Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation. Journal of Functional Analysis 267:11, pages 4361-4398.
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