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Waves in Random and Complex Media Volume 20, 2010 - Issue 3
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Original Articles

Singular value distribution of the propagation matrix in random scattering media

Alexandre Aubry Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Université Denis Diderot (Paris VII), Laboratoire Ondes et Acoustique, 10 rue Vauquelin, 75005 Paris, FranceCorrespondence[email protected]
&
Arnaud Derode Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Université Denis Diderot (Paris VII), Laboratoire Ondes et Acoustique, 10 rue Vauquelin, 75005 Paris, France
Pages 333-363 | Received 04 Aug 2009, Accepted 16 Nov 2009, Published online: 23 Feb 2010

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L. Borcea, G. Papanicolaou & C. Tsogka. (2017) Time and direction of arrival detection and filtering for imaging in strongly scattering random media. Waves in Random and Complex Media 27:4, pages 664-689.
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Habib Ammari, Josselin Garnier & Knut Sølna. (2012) A statistical approach to target detection and localization in the presence of noise. Waves in Random and Complex Media 22:1, pages 40-65.
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Articles from other publishers (25)

Frederic Dupont-Marillia, Joseph W. Krynicki & Pierre Bélanger. (2022) Early detection of high temperature hydrogen attack using the ultrasonic full matrix capture and advanced post-processing methods. NDT & E International 130, pages 102676.
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Thomas Fromenteze, Matthieu Davy, Okan Yurduseven, Yann Marie-Joseph & Cyril Decroze. (2022) Spatiotemporal Analysis of Electromagnetic Field Coherence in Complex Media. Physical Review Applied 17:5.
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Lu Yang, Tao Han, Jia Meng, Shuhao Qian, Chen Yang, Zhiyi Liu & Zhihua Ding. (2022) Optimized number of the primary singular values for image reconstruction in reflection matrix based optical coherence tomography. Optics Express 30:2, pages 2680.
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Hanna Bendjador, Thomas Deffieux & Mickael Tanter. (2020) The SVD Beamformer: Physical Principles and Application to Ultrafast Adaptive Ultrasound. IEEE Transactions on Medical Imaging 39:10, pages 3100-3112.
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Martin Lott, Philippe Roux, Léonard Seydoux, Benoit Tallon, Adrien Pelat, Sergey Skipetrov & Andrea Colombi. (2020) Localized modes on a metasurface through multiwave interactions. Physical Review Materials 4:6.
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Wei Rui, Zhipeng Liu, Chao Tao & Xiaojun Liu. (2019) Reconstruction of Photoacoustic Tomography Inside a Scattering Layer Using a Matrix Filtering Method. Applied Sciences 9:10, pages 2071.
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Thibaud Blondel, Julien Chaput, Arnaud Derode, Michel Campillo & Alexandre Aubry. (2018) Matrix Approach of Seismic Imaging: Application to the Erebus Volcano, Antarctica. Journal of Geophysical Research: Solid Earth 123:12, pages 10,936-10,950.
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Wei Rui, Chao Tao & Xiaojun Liu. (2018) Imaging acoustic sources through scattering media by using a correlation full-matrix filter. Scientific Reports 8:1.
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Wei Rui, Chao Tao & Xiaojun Liu. (2017) Photoacoustic imaging in scattering media by combining a correlation matrix filter with a time reversal operator. Optics Express 25:19, pages 22840.
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Olivier Thouvenin, Kate Grieve, Peng Xiao, Clement Apelian & A. Claude Boccara. (2017) En face coherence microscopy [Invited]. Biomedical Optics Express 8:2, pages 622.
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Sharfine Shahjahan, Fabienne Rupin, Alexandre Aubry & Arnaud Derode. (2017) Evaluation of a multiple scattering filter to enhance defect detection in heterogeneous media. The Journal of the Acoustical Society of America 141:1, pages 624-640.
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Chrysoula Tsogka & Michalis Apostolopoulos. (2017) A comparative study of data filtering methods for imaging in strongly scattering media. Wave Motion 68, pages 97-113.
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Amaury Badon, Dayan LiGeoffroy Lerosey, A. Claude BoccaraMathias FinkAlexandre Aubry. (2016) Smart optical coherence tomography for ultra-deep imaging through highly scattering media. Science Advances 2:11.
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Laura J. Cunningham, Anthony J. Mulholland, Katherine M. M. Tant, Anthony Gachagan, Gerry Harvey & Colin Bird. (2016) The detection of flaws in austenitic welds using the decomposition of the time-reversal operator. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472:2188, pages 20150500.
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Habib Ammari, Josselin Garnier & Vincent Jugnon. (2015) Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Discrete & Continuous Dynamical Systems - S 8:3, pages 389-417.
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S. Shahjahan, A. Aubry, F. Rupin, B. Chassignole & A. Derode. (2014) A random matrix approach to detect defects in a strongly scattering polycrystal: How the memory effect can help overcome multiple scattering. Applied Physics Letters 104:23.
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A. Aubry, L. A. Cobus, S. E. Skipetrov, B. A. van Tiggelen, A. Derode & J. H. Page. (2014) Recurrent Scattering and Memory Effect at the Anderson Localization Transition. Physical Review Letters 112:4.
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S. Shahjahan, F. Rupin, A. Aubry, B. Chassignole, T. Fouquet & A. Derode. (2014) Comparison between experimental and 2-D numerical studies of multiple scattering in Inconel600® by means of array probes. Ultrasonics 54:1, pages 358-367.
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Chun-xiao Li, Huan-cai Lu, Ming-fei Guo, Hang-fang Zhao & Jiang-ming Jin. (2012) Decomposition of the Time Reversal Operator for Target Detection. Mathematical Problems in Engineering 2012, pages 1-13.
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L. Borcea, F. González del Cueto, G. Papanicolaou & C. Tsogka. (2012) Filtering Deterministic Layer Effects in Imaging. SIAM Review 54:4, pages 757-798.
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S M Popoff, G Lerosey, M Fink, A C Boccara & S Gigan. (2011) Controlling light through optical disordered media: transmission matrix approach. New Journal of Physics 13:12, pages 123021.
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L. Borcea, G. Papanicolaou & C. Tsogka. (2011) Adaptive Time-Frequency Detection and Filtering for Imaging in Heavy Clutter. SIAM Journal on Imaging Sciences 4:3, pages 827-849.
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Habib Ammari, Josselin Garnier, Hyonbae Kang, Won-Kwang Park & Knut SØlna. (2011) Imaging Schemes for Perfectly Conducting Cracks. SIAM Journal on Applied Mathematics 71:1, pages 68-91.
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Alexandre Aubry & Arnaud Derode. (2011) Multiple scattering of ultrasound in weakly inhomogeneous media: Application to human soft tissues. The Journal of the Acoustical Society of America 129:1, pages 225-233.
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R. C. Qiu, M. C. Wicks, L. Li, Z. Hu, S. J. Hou, P. Chen & J. P. Browning. (2010) Wireless tomography, Part I: A novel approach to remote sensing. Wireless tomography, Part I: A novel approach to remote sensing.

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