Selected Publications
Below is a list of selected publications of mine. Some
recent papers can be viewed by clicking the
corresponding link.
2018
 Plasmonic interaction between nanospheres. SIAM Review, 60 (2018), no. 2, 356385 (with S. Yu).
 Field expansions for systems of strongly coupled plasmonic nanoparticle.
SIAM Journal on Numerical Analysis, 56 (2018), no. 4, 20292044. (with M. Ruiz, S. Yu, and H. Zhang).
 Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime. To appear in
SIAM Journal on Imaging Sciences (with M. Ruiz, S. Yu, and H. Zhang).
 Shape and size dependence of dipolar plasmonic resonance of nanoparticles. To appear in Journal de
Mathématiques Pures et Appliquées (with P. Millien).
 Doublenegative electromagnetic metamaterials due to chirality. To appear in Quarterly of Applied Mathematics (with W. Wu and S. Yu).
 Minnaert resonances for acoustic waves in bubbly media.
Annales de l'Institut Henri Poincaré:
Analyse Nonlinéaire, DOI: https://doi.org/10.1016/j.anihpc.2018.03.007 (with B. Fitzpatrick, D. Gontier, H. Lee, and H. Zhang).
 Heat generation with plasmonic nanoparticles.
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 16 (2018), 356–384 (with F. Romero and M. Ruiz).
 Shape reconstruction of nanoparticles from their associated plasmonic resonances. Journal de
Mathématiques Pures et Appliquées, DOI: https://doi.org/10.1016/j.matpur.2017.09.003 (with M. Putinar, M. Ruiz, S. Yu, and H. Zhang).
 Reconstructing fine details of small objects by using plasmonic spectroscopic data. SIAM Journal on Imaging Sciences, 11 (2018), 123 (with M. Ruiz, S. Yu, and H. Zhang).
 Superresolution in highly contrasted media from the perspective of scattering coefficients. Journal de
Mathématiques Pures et Appliquées, 111 (2018), 191226 (with Y.T. Chow and J. Zou).
 Numerical determination of anomalies in multifrequency electrical impedance tomography.
European Journal of Applied Mathematics, DOI: https://doi.org/10.1017/S0956792518000244 (with F. Triki and C.H. Tsou).
 A mathematical and numerical framework for nearfield optics. In revision for Proceedings of the Royal Society A (with D. Choi and S. Yu).
Mathematical and Computational Methods in Photonics and Phononics.
Mathematical Surveys and
Monographs, Volume 235, American Mathematical Society, Providence, 2018, to appear, 513 pages (with B. Fitzpatrick, H. Kang, M. Ruiz, S. Yu, and H. Zhang).
2017
 Mathematical analysis of plasmonic nanoparticles: the scalar
case. Archive on Rational Mechanics and Analysis, 224 (2017), 597658 (with P. Millien, M. Ruiz, and H. Zhang).
 Subwavelength focusing of acoustic waves in bubbly media. Proceedings of the Royal Society A, 473 (2017), 20170469 (with B. Fitzpatrick, D. Gontier, H. Lee, and H. Zhang).
 Identification of an inclusion in multifrequency electric impedance tomography. Communications in Partial Differential Equations,
42 (2017), 159177 (with F. Triki).
 Subwavelength phononic bandgap opening in bubbly media. Journal of Differential Equations, 263 (2017), 56105629 (with B. Fitzpatrick, H. Lee, S. Yu, and H. Zhang).
 Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency. SIAM Journal on Mathematical Analysis, 49 (2017), 32523276 (with H. Zhang).
 A signal separation technique for subcellular imaging
using dynamic optical coherence tomography. Multiscale Modeling and Simulation:
A SIAM Interdisciplinary Journal, 15 (2017), 11551175 (with F. Romero and C. Shi).
 A mathematical and numerical framework for bubble metascreens. SIAM Journal on Applied Mathematics, 77 (2017), 18271850 (with B. Fitzpatrick, D. Gontier, H. Lee, and H. Zhang).

Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging. Journal of Applied and Computational Harmonic Analysis, 42 (2017), 319349 (with G.S. Alberti).
 Admittivity imaging from multifrequency microelectrical impedance tomography. Journal of Mathematical Analysis and Applications, 449 (2017), 1601–1618 (with L. Giovangigli, L. Nguyen, and J.K. Seo).
 Mathematical analysis of ultrafast ultrasound imaging.
SIAM Journal on Applied Mathematics, 77 (2017), 125 (with G.S. Alberti, F. Romero, and T. Wintz).
 Fast Magnetic resonance electrical impedance tomography with highly undersampled data. SIAM Journal on Imaging Sciences, 10 (2017), 558–577 (with Y. Song and J.K. Seo).
 Mathematical framework for abdominal electrical impedance tomography to assess fatness. SIAM Journal on Imaging Sciences, 10 (2017), 900919 (with H. Kwon, S. Lee, and J.K. Seo).
 Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking. Journal of Elasticity, 128 (2017), 203–243 (with T. Abbas, G. Hu, A. Wahab, and J.C. Ye).
 Towards monitoring critical microscopic parameters for electropermeabilization. Quarterly of Applied Mathematics, 75 (2017), 117 (with T. Widlak and W. Zhang).
 Determining anisotropic conductivity using diffusion tensor imaging data in magnetoacoustic tomography with magnetic induction.
Inverse Problems, 33 (2017), 125006 (with
L. Qiu, F. Santosa, and W. Zhang).
 Robust cardiac motion estimation using ultrafast ultrasound data: A lowranktopologypreserving approach. Physics in Medicine and Biology, 62 (2017), 48314851 (with
A. I. Aviles, T. Widlak, A. Casals, and M. M. Nillesen).

Mathematical modelling of the electric sense of fish: the role of multifrequency measurements and movement.
Bioinspiration & Biomimetics, 12 (2017), 025002
(with T. Boulier, J. Garnier, and H. Wang).
MultiWave Medical Imaging. Modelling and Simulation in Medical Imaging, Volume 2, World Scientific, London, 2017 (with J. Garnier, H. Kang, L. Nguyen, and L. Seppecher).
2016
 Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations.
Journal of Differential Equations, 261 (2016), 36153669 (with M. Ruiz, S. Yu, and H. Zhang).
 Spectroscopic conductivity imaging of a cell culture.
Asymptotic Analysis, 100 (2016), 87109
(with L. Giovangigli, H . Kwon, J.K. Seo, and T. Wintz).
 Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles. Proceedings of the Royal Society A, 472 (2016), 20160445 (with M. Ruiz, W. Wu, S. Yu, and H. Zhang).
 The Linearized inverse problem in multifrequency electrical impedance tomography. SIAM Journal on Imaging Sciences, 9 (2016), 15251551 (with G.S. Alberti, B. Jin, J.K. Seo, and W. Zhang).
 Mathematical framework for multifrequency identification of thin insulating and small conductive inhomogeneities. Inverse Problems, 32 (2016), 105001 (with J.K. Seo and T. Zhang).
 Phased and phaseless domain reconstructions in the inverse scattering problem via scattering coefficients. SIAM Journal on Applied Mathematics, 76 (2016), 10001030 (with Y.T. Chow and J. Zou).

Spectroscopic imaging of a dilute cell suspension.Journal de
Mathématiques Pures et Appliquées, 105 (2016), 603661
(with J. Garnier, L. Giovangigli, W. Jing, and J.K. Seo).
 Surface plasmon resonance of nanoparticles and applications in imaging. Archive on Rational Mechanics and Analysis, 220 (2016), 109153 (with Y. Deng and P. Millien).
 Wellposedness of a pulsed electric field model in biological media and its finite element approximation. Mathematical Models and Methods in the Applied Sciences, 26 (2016), 601625 (with D. Chen and J. Zou).
 Multifrequency acoustoelectromagnetic tomography. Contemporary Mathematics, 658 (2016), 6779 (with G. Alberti and K. Ruan).
 Timedomain multiscale shape identification in electrosensing using pulsetype sources. Contemporary Mathematics, 660 (2016), 2345 (with H. Wang).
 Wavelet methods in electrosensing. Contemporary Mathematics, 660 (2016), 121 (with S. Mallat, I. Waldspurger, and H. Wang).
2015
 A mathematical theory of superresolution by using a system of subwavelength Helmholtz resonators. Communications in Mathematical Physics, 337 (2015), issue 1, 379428 (with H. Zhang).
 Elliptic estimates in composite media with smooth inclusions:
an integral equation approach. Annales Scientifiques de l'Ecole Normale Supérieure, 48 (2015), 453495 (with E. Bonnetier, F. Triki,
and M. Vogelius).
 A mathematical and numerical framework for ultrasonicallyinduced Lorentz force electrical impedance tomography. Journal de
Mathématiques Pures et Appliquées, 103 (2015), 13901409 (with P. GraslandMongrain, P. Millien, J.K. Seo, and L. Seppecher).
 Superresolution in high contrast media. Proceedings of the Royal Society A, 2015 (471) 20140946 (with H. Zhang).
 Mathematical modeling in fullfield optical coherence elastography. SIAM Journal on Applied Mathematics, 75 (2015), 10151030 (with E. Bretin, P. Millien, J.K. Seo, and L. Seppecher).
 Mathematical modeling of mechanical vibration assisted conductivity imaging. SIAM Journal on Applied Mathematics, 75 (2015), 10311046 (with H. Kwon, E. Lee, J.K. Seo, and E.J. Woo).
 Electrical impedance tomographybased pressure sensing using
conductive membrane. SIAM Journal on Applied Mathematics, 75 (2015), 14931512 (with K. Lee, K. Kang, and J.K. Seo).
 A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction. Journal of Differential Equations, 259 (2015),53795405 (with S. Boulmier and P. Millien).
 Magnetic resonancebased reconstruction method of conductivity and permittivity distributions at the Larmor frequency. Inverse Problems, 31 (2015) 105001 (24pp) (with H. Kwon, Y. Lee, K. Kang, and J.K. Seo).
 Detection and classification from electromagnetic induction data. Journal of Computational Physics, 301 (2015), 201217
(with J. Chen, Z. Chen, D. Volkov, and H. Wang).
 Stability analysis for magnetic resonance elastography. Journal of Mathematical Analysis and Applications, 430 (2015), 919931 (with A. Waters and H. Zhang).
 On an elliptic equation arising from photoacoustic imaging in inhomogeneous media. International Mathematics Research Notices, 22 (2015), 1210512113 (with H. Dong, H. Kang, and S. Kim).
 Optimal shape design by partial spectral data. SIAM Journal on Scientific Computing, 37 (2015), B855B883 (with Y.T. Chow, K. Liu, and J. Zou).
 Viscoelastic modulus reconstruction using time harmonic vibrations.
Mathematical Modeling and Analysis, 20 (2015), 836851 (with J.K. Seo and L. Zhou).
 Electrical impedance spectroscopybased defect sensing
technique in estimating cracks. Sensors 2015, 15, 1090910922
(with T. Zhang, J.K. Seo, and L. Zhou).
 Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions. Applied and Computational Harmonic Analysis, 38 (2015), 140147
(with D. Chung, H. Kang, and H. Wang).
 Detection,
reconstruction, and characterization algorithms from noisy data in
multistatic wave imaging. Discrete and Continuous Dynamical SystemsSeries S, 8:3 (2015), 389417
(with J. Garnier and V. Jugnon).
Mathematical Methods in Elasticity Imaging. Princeton Series in Applied Mathematics, Princeton University Press, 2015 (with E. Bretin, J. Garnier, H. Kang, H. Lee, and A. Wahab).
2014
 Reconstruction and stability in acoustooptic imaging for absorption maps with bounded variation. Journal of Functional Analysis, 267 (2014), 43614398 (with L. Nguyen and L. Seppecher).
 Shape
identification and classification in electrolocation. Proceedings of the National Academy of Sciences of the United States of America, 111 (2014), 1165211657 (with T.
Boulier, J. Garnier, and H. Wang).
 Shape identification and classification in echolocation. SIAM Journal on Imaging Sciences, 7, 18831905 (with M.P. Tran and H. Wang).
 The concept of heterogeneous scattering coefficients and its application in inverse medium scattering. SIAM Journal on Mathematical Analysis, 46 (2014), 29052935 (with Y.T. Chow and J. Zou).
 Medium induced resolution enhancement. Inverse Problems, 30 (2014), 085006 (25pp) (with J. Garnier,
J. de Rosny, and K. Solna).
 Reconstruction
of inhomogeneous conductivities via the concept of generalized
polarization tensors. Annales de l'Institut Henri Poincaré: Analyse Nonlinéaire, 31 (2014), 877897 (with Y. Deng, H. Kang, and H.
Lee).
 Target identification using dictionary matching
of generalized polarization tensors. Foundations
of Computational Mathematics, 14 (2014), 2762 (with T. Boulier, J. Garnier, W.
Jing, H. Kang, and H. Wang).
 Target detection and
characterization from electromagnetic induction data. Journal de
Mathématiques Pures et Appliquées, 101 (2014),
5475 (with J. Chen, Z.
Chen, J. Garnier, and D. Volkov).

Backpropagation imaging in nonlinear harmonic holography in the presence of
measurement and medium noises. SIAM Journal on Imaging Sciences, 7 (2014), 239276
(with J. Garnier and P. Millien).
 Spectral
analysis of a NeumannPoincarétype operator and analysis
of cloaking due to anomalous localized resonance II. Contemporary Mathematics, 615 (2014), 114 (with G.
Ciraolo, H. Kang, H. Lee, and G. Milton).
 Mathematical
modeling of fluorescence diffuse optical imaging of cell membrane
potential changes. Quarterly of Applied
Mathematics, 72 (2014), 137176 (with J. Garnier and L. Giovangigli).
 Generalized polarization tensors for shape description. Numerische Mathematik, 126 (2014), 199224 (with J. Garnier, H. Kang, M. Lim, and S. Yu ).
 A reconstruction algorithm for ultrasoundmodulated diffuse optical tomography. Proceedings of the American Mathematical Society, 142 (2014), 32213236
(with E. Bossy, J. Garnier, L.H. Nguyen, and L. Seppecher).
2013
 Localization, stability,
and resolution of topological derivative based imaging functionals
in elasticity. SIAM Journal on Imaging Sciences, 6 (2013), 21742212
(with E. Bretin, J. Garnier, W. Jing, H. Kang, and A.
Wahab).
 Enhancement of near
cloaking for the full Maxwell equations.SIAM Journal on Applied Mathematics, 73 (2013), 20552076 (with H. Kang, H. Lee, M. Lim, and S. Yu).
 Reconstruction
of piecewise smooth absorption map by an acoustooptic
process. Communications in Partial Differential
Equations, 38 (2013), 17371762 (with J. Garnier, L.H. Nguyen, and L.
Seppecher).
 Tracking
of a mobile target using generalized polarization tensors.
SIAM Journal on Imaging Sciences, 6 (2013), 14771498 (with T. Boulier,
J. Garnier, H. Kang, and H. Wang).
 Anomalous localized resonance using a folded geometry in three dimensions. Proceedings of the Royal Society A, 469 (2013), 20130048
(with G. Ciraolo, H. Kang, H. Lee, and G. Milton).
 Strong
convergence of the solutions of the linear elasticity and
uniformity of asymptotic expansions in the presence of small
inclusions. Journal of Differential Equations, 254 (2013), 44464464
(with H. Kang, K. Kim, and H. Lee).
 Correlationbased
imaging in a weakly random waveguide. SIAM
Multiscale Modeling and Simulations, 11 (2013), 656681 (with J. Garnier and W.
Jing).
 Spectral
analysis of a NeumannPoincarétype operator and analysis
of cloaking due to anomalous localized resonance.
Archive for Rational Mechanics and Analysis, 208 (2013), 667692 (with G. Ciraolo, H.
Kang, H. Lee, and G. Milton).
 Spectral analysis of the NeumannPoincaré operator and characterization of the stress
blowup in antiplane elasticity. Archive for Rational Mechanics and Analysis, 208 (2013), 275304
(with G. Ciraolo, H. Kang, H. Lee, and K. Yun).
 Enhancement
of nearcloaking using generalized polarization tensors vanishing
structures. Part I: The conductivity problem. Communications in Mathematical Physics,
317 (2013), 253266 (with H. Kang, H. Lee, and
M. Lim).
 Enhancement
of near cloaking. Part II: the Helmholtz equation. Communications in Mathematical Physics, 317 (2013), 485502 (with H. Kang, H. Lee,
and M. Lim).
 Resolution
and stability analysis in fullaperture, linearized conductivity
and wave imaging. Proceedings of the American
Mathematical Society, 141 (2013), 34313446 (with J. Garnier and K. Solna).
 Quantitative thermoacoustic imaging: An exact reconstruction formula. Journal of Differential Equations, 254 (2013), 13751395 (with J. Garnier, W. Jing, and L.H. Nguyen).

Timereversal in viscoelastic media. European
Journal of Applied Mathematics, 24 (2013), 565600 (with E. Bretin, J. Garnier and A.
Wahab).
 Radiative
transfer and diffusion limits for wave fields correlations in
locally shifted random media. Journal of
Mathematical Physics, 54 (2013), 021501 (with E. Bossy, J. Garnier, W. Jing, and L.
Seppecher).
 Stability estimates for an inverse scattering problem at high frequencies. Journal of Mathematical Analysis and Applications, 400 (2013), 525540 (with H. Bahouri, D. Dos Santos Ferreira, and I. Gallagher).
 Boundary perturbations due to the presence of small linear cracks in an elastic body. Journal of Elasticity, 113 (2013), 7591 (with H. Kang, H. Lee, and J. Lim).
 Limited view resolving power of linearized conductivity imaging from boundary measurements. SIAM Journal on Mathematical Analysis, 45 (2013), 17041722 (with J. Garnier and K. Solna).
 Modeling
active electrolocation in weakly electric fish.
SIAM Journal on Imaging Sciences, 5 (2013), 285321 (with T. Boulier and J.
Garnier).
 A
new optimal control approach for the reconstruction of extended
inclusions. SIAM Journal on Control and Optimization, 51 (2013), 13721394 (with P. Garapon, F. Jouve, H. Kang, M. Lim, and S.
Yu).
 Differential Electromagnetic Imaging,
Direct and Inverse Problems in Wave Propagation and Applications, Radon Series on Computational and Applied Mathematics, Volume 14, 150, 2013.

Mathematical
and Statistical Methods for Multistatic Imaging. Lecture Notes
in Mathematics, Volume 2098, Springer, Cham, Switzerland, 2013 (with J. Garnier, W. Jing, H. Kang, M. Lim, K. Solna, and H.
Wang).
2012
 Acoustoelectromagnetic
tomography. SIAM Journal on Applied Mathematics, 72 (2012), 15921617 (with E. Bossy, J. Garnier, and L. Seppecher).
 Resolution
and stability analysis in acoustoelectric imaging. Inverse Problems, 28 (2012), 084005 (with J. Garnier and W.
Jing).
 Sharp estimates for Neumann
functions and applications to quantitative photoacoustic imaging in inhomogeneous media.
Journal of Differential
Equations, 253 (2012), 4172 (with H. Kang and S.
Kim).
 Enhancement
of nearcloaking. Part III: numerical simulations, statistical
stability, and related questions. Contemporary Mathematics,
577 (2012), 124 (with J. Garnier, V. Jugnon, H. Kang, H. Lee, and
M. Lim).
 Stability
and resolution analysis for a topological derivative based imaging
functional. SIAM Journal on Control and Optimization, 50
(2012), 4876 (with J. Garnier, V. Jugnon, and H.
Kang).
 Layer
potential techniques for the narrow escape problem. Journal de
Mathématiques Pures et Appliquées, 97 (2012), 6684
(with K. Kalimeris, H. Kang, and H. Lee).
 Coherent
interferometry algorithms for photoacoustic imaging. SIAM Journal on Numerical Analysis, 50 (2012), 22592280 (with E. Bretin,
J. Garnier, and V. Jugnon).
 Noise source localization in an attenuating
medium. SIAM Journal on Applied Mathematics, 72 (2012), 317336 (with E. Bretin, J. Garnier, and A. Wahab).
 The generalized
polarization tensors for resolved imaging. Part I: Shape reconstruction of a
conductivity inclusion. Mathematics of Computation, 81 (2012), 367386 (with H. Kang, M. Lim, and H. Zribi).
 The generalized polarization tensors for resolved imaging. Part II: Shape and electromagnetic parameters reconstruction of an
electromagnetic inclusion from multistatic measurements.
Mathematics of Computation, 81 (2012), 839860 (with H. Kang,
E. Kim, and J.Y. Lee).
 Multistatic
imaging of extended targets. SIAM Journal on Imaging Sciences,
5 (2012), 564600 (with J. Garnier, H. Kang, M. Lim, and K.
Solna).
 A
statistical approach to optimal target detection and localization
in the presence of noise. Waves in Random and Complex Media,
22 (2012), 4065 (with J. Garnier and K. Solna).
 Effective viscosity properties of
dilute suspensions of arbitrarily shaped particles. Asymptotic Analysis, 80 (2012) 189211
(with
P. Garapon, H. Kang, and H. Lee).
2011
 Microwave
imaging by elastic perturbation. SIAM Journal on Applied
Mathematics, 71 (2011), 21122130 (with Y. Capdeboscq, F. de
Gournay, A. Rozanova, and F. Triki).
 The mean
escape time for a narrow escape problem with multiple switching
gates. Multiscale Modeling and Simulation: A SIAM
Interdisciplinary Journal, 9 (2011), 817833 (with J.
Garnier, H. Kang, H. Lee, and K. Solna).
 A direct
algorithm for ultrasound imaging of internal corrosion SIAM
Journal on Numerical Analysis, 49 (2011), 11771193 (with H.
Kang, E. Kim, M. Lim, and K. Louati).
 Transient
elasticity imaging and timereversal. Proceedings of the Royal
Society of Edinburgh: Section A Mathematics, 141 (2011), 11211140
(with L. Guadarrama Bustos, H. Kang, and H. Lee).
 Transient
imaging with limitedview data. SIAM Journal on Imaging
Sciences, 4 (2011), 10971121 (with M. Asch, V. Jugnon, L.
Guadarrama Bustos, and H. Kang).

Reconstruction of the optical absorption coefficient of a small
absorber from the absorbed energy density.SIAM Journal on
Applied Mathematics, 71 (2011), 676693 (with E. Bossy, V.
Jugnon, and H. Kang).
 Imaging
schemes for perfectly conducting cracks.SIAM Journal on
Applied Mathematics, 71 (2011), 6891. (with J. Garnier, H.
Kang, W.K. Park, and K. Solna).
 Time
reversal in attenuating acoustic media.Contemporary
Mathematics, Volume 548, 151163, 2011 (with E. Bretin, J.
Garnier, and A. Wahab).
 Direct
reconstruction methods in ultrasound imaging of small
anomalies. Lecture Notes in Mathematics, Volume 2035, 3156,
SpringerVerlag, 2011 (with J. Garnier, V. Jugnon, and H.
Kang).
 Photoacoustic
imaging for attenuating acoustic media.Lecture Notes in
Mathematics, Volume 2035, 5784, SpringerVerlag, 2011 (with E.
Bretin, V. Jugnon, and A. Wahab).

2010
 Mathematical modelling in photoacoustic imaging of small absorbers. SIAM Review, 52 (2010), 677695 (with E. Bossy, V. Jugnon, and H. Kang ).
 Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment
tensor. Journal de Mathématiques Pures et Appliquées, 94 (2010), 93106 (with Y. Capdeboscq, H. Kang, H. Lee, G.W. Milton, and H. Zribi).
 Asymptotic imaging of perfectly conducting cracks. SIAM Journal on Scientific Computing, 32 (2010), 894922 (with H. Kang, H. Lee, and W.K. Park ).
 Layer
potential techniques in spectral analysis. Part I: complete asymptotic
expansions for eigenvalues of the Laplacian in domains with small
inclusions. Transactions of the American Mathematical Society, 362 (2010), 29012922
(with H. Kang, M. Lim, and H. Zribi ).
 Conductivity
interface problems. Part I: small perturbations of an interface. Transactions of the American Mathematical Society, 362 (2010), 24352449 (with H. Kang, M. Lim, and H. Zribi ).
 Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements. Mathematics of Computation, 79 (2010), 17571777 (with E. Beretta, E. Francini, H. Kang, and M. Lim ).
 Reconstruction of small interface
changes of an inclusion from modal measurements II: The elastic case. Journal de Mathématiques Pures et Appliquées, 94 (2010), 322339
(with E. Beretta, E. Francini, H. Kang, and M. Lim ).
 Separation of scales in elasticity imaging: a numerical study. Journal
of Computational Mathematics 28 (2010), 354370 (with P. Garapon and F. Jouve).
 Transient anomaly imaging by the acoustic radiation force. Journal of Differential Equations 249 (2010), 15791595 (with
L. Guadarrama Bustos, P. Garapon, and H. Kang).
2009
 Asymptotic analysis of highcontrast phononic crystals. Archive for Rational Mechanics and Analysis 193 (2009), 679714 (with H.
Kang, and H. Lee ).
 Enhanced resolution in structured media. SIAM Journal on Applied Mathematics 70 (2009), 14281452
(with E. Bonnetier and Y. Capdeboscq ).
 Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. Journal of Differential Equations, 247 (2009), 28972912 (with H. Kang, H. Lee, M. Lim, and H. Zribi ).
 The method of smallvolume expansions for medical imaging. Lecture Notes in Mathematics, Volume 1983 (2009), 99132 (with H. Kang ).
 Vibration testing for anomaly detection Mathematical Methods in the Applied Sciences 32 (2009), 863874 (with H. Kang, E. Kim, and H. Lee).
 Vibration testing for detecting internal corrosion. Studies in Applied Mathematics 122 (2009), 85104. (with H. Kang, E. Kim, H. Lee, and K. Louati ).
 Asymptotic formulas for thermography
based recovery of anomalies. Numerical Mathematics: Theory, Methods and Applications 2 (2009), 1842 (with A. Kozhemyak and D. Volkov).
 Mathematical models and
reconstruction methods in magnetoacoustic imaging. European Journal of Applied Mathematics 20 (2009), 303317 (with Y. Capdeboscq, H. Kang, and A. Kozhemyak).
 Detection of internal corrosion. ESAIM: Proceedings, 26 (2009), 207216 (with H. Kang and E. Kim).
Layer Potential Techniques in Spectral Analysis. Mathematical Surveys and Monographs, Volume 153, American Mathematical Society, Providence, 2009
(with H. Kang and H. Lee).
2008
 A method of biological
tissues elasticity reconstruction using magnetic resonance
elastography measurements. Quarterly of Applied Mathematics 66 (2008), 139175 (with P. Garapon, H.
Kang, H. Lee).
 Automatic reconstruction of functional
networks from a principal component analysis of the signals in
MEG/EEG. IEEE Transactions on Biomedical Engineering 55 (2008), 20742086 (with A. Dossevi, D. Cosmelli, and L. Garnero).

Direct elastic imaging of a small inclusion. SIAM Journal
Imaging Sciences 1 (2008), 169187 (with P. Calmon and E. Iakovleva).
 Electrical impedance tomography by elastic deformation. SIAM Journal on Applied Mathematics 68 (2008), 15571573 (with E. Bonnetier,
Y. Capdeboscq, M. Tanter, and M. Fink ).
 A MUSICtype algorithm for detecting internal corrosion from electrostatic
boundary measurements. Numerische Mathematik 108 (2008), 501528 (with H.
Kang, E. Kim, K. Louati, and M. Vogelius ).

2007
 Identification
of small inhomogeneities: asymptotic factorization.
Mathematics of Computation 76 (2007), 14251448 (with R. Griesmaier and M. Hanke).
 MUSICtype
electromagnetic imaging of a collection of small threedimensional
inclusions. SIAM Journal on Scientific Computing 29 (2007), 674709 (with E. Iakovleva,
D. Lesselier, and G. Perrusson).
 Estimates
for the electric field in the presence of adjacent perfectly conducting
spheres. Quarterly of Applied Mathematics 65 (2007), 339355 (with G.
Dassios, H. Kang and M. Lim).
 A
boundary integral method for computing elastic moment tensors for ellipses
and ellipsoids. Journal of Computational Mathematics 25 (2007), 212
(with H. Kang and H. Lee).
 Electrostatics in high contrast materials.
Journal of Computational Mathematics 25 (2007), 244251 (with H. Kang and H. Zribi).
 Asymptotic
expansions for eigenvalues of the Lamé system in the presence of small
inclusions. Communications in Partial Differential
Equations 32 (2007), 17151736 (with H. Kang and H. Lee).
 Optimal estimates for the electric field in twodimensions. Journal de Mathématiques Pures et Appliquées 88 (2007), 307324 (with H.
Kang, H. Lee, J. Lee, and M. Lim).

2006
 Effective
parameters of elastic composites. Indiana University Mathematics Journal 55 (2006),
903922 (with H. Kang and M. Lim ).
 Generalized
polarization tensors, inverse conductivity problems, and dilute composite
materials: a review. Contemporary Mathematics, Volume 408 (2006), 167 (with H.
Kang).
 Reconstruction
of elastic inclusions of small volume via dynamic measurements. Applied Mathematics and Optimization 54 (2006), 223235 (with H. Kang ).
 Approximation of a conductivity inclusion close to a planar
surface. Applied Mathematics and Physics (ZAMP) 57 (2006), 234243
(with H. Kang and K. Touibi).
 Reconstruction
of thin conductivity imperfections, II. The case of multiple segments.
Applicable Analysis 85 (2006), 87105 (with E. Beretta and E.
Francini).
 Numerical
attainability by simply connected domains of optimal bounds for the
polarization tensors. European Journal of Applied Mathematics 17 (2006), 201219(with
Y. Capdeboscq, H. Kang, E. Kim and M. Lim).
 Scattering
of electromagnetic waves by thin dielectric structures. SIAM Journal on Mathematical Analysis 38 (2006), 13291342 (with H. Kang and F. Santosa).
 Layer
potential techniques in spectral analysis. Part II: sensitivity analysis
of spectral properties of highcontrast bandgap materials Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal 5 (2006), 646663 (with H. Kang, S. Soussi, and H. Zribi).
 Approximate
boundary conditions for patch antennas mounted on thin dielectric
layers. Communications in Computational Physics 1 (2006), 10761095 (with
H. Kang and E. Kim).
2005
 Polarization
tensors and effective properties of anisotropic composite materials.
Journal of Differential Equations 215 (2005), 401428 (with H. Kang and K. Kim).
 Reconstruction
of closely spaced small inclusions. SIAM Journal on Numerical Analysis 42 (2005),
no. 6, 24082428 (with H. Kang, E. Kim, and M. Lim ).
 Gradient
estimates for solutions to the conductivity problem. Mathematische Annalen 332
(2005), no.2, 277286 (with H. Kang and M. Lim ).
 Boundary
layer techniques for deriving the effective properties of composite
materials. Asymptotic Analysis 41 (2005), no. 2, 119140 (with H. Kang
and K. Touibi ).
 The leading order term in the asymptotic expansion of the scattering
amplitude of a collection of finite number of dielectric inhomogeneities
of small diameter. Multiscale Computational Engineering 3 (2005),
149160 (with D. Volkov).
 Polarization
tensors and their applications. Journal of Physics: Conference Series
12 (2005), 1322 (with H. Kang and M. Lim).
 Boundary
voltage perturbations caused by small conductivity inhomogeneities nearly
touching the boundary. Advances in Applied Mathematics 35 (2005), 368391 (with
M. Asch and H. Kang ).
 A
MUSIC algorithm for locating small inclusions buried in a halfspace from
the scattering amplitude at a fixed frequency. Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal 3 (2005),
no.3, 597628 (with E. Iakovleva and D. Lesselier).
 Two
numerical methods for recovering small electromagnetic inclusions from
scattering amplitude at a fixed frequency. SIAM Journal on Scientific Computing 27
(2005), 130158 (with E. Iakovleva and D. Lesselier ).
 Reconstruction
of a small inclusion in a twodimensional open waveguide. SIAM Journal on Applied Mathematics 65 (2005), no.6, 21072127 (with E. Iakovleva and H. Kang
).
 Direct
algorithms for thermal imaging of small inclusions. Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal 4 (2005),
11161136 (with E. Iakovleva, H. Kang, and K. Kim ).
2004
 Splitting
of resonant and scattering frequencies under shape deformation. Journal of Differential Equations 202 (2004), 231255 (with F. Triki ).
 Resonances
for microstrip transmission lines. SIAM Journal on Applied Mathematics 64 (2004), no.
2, 601636 (with F. Triki ).
 Guided waves
in photonic bandgap structure with line defect. SIAM Journal on Applied Mathematics 64
(2004), no. 6, 20182033
(with F. Santosa ).
 Boundary
Layer Techniques for Solving the Helmholtz Equation in the Presence of
Small Inhomogeneities. Journal of Mathematical Analysis and Applications 296 (2004), no. 1, 190208
(with H. Kang).
 Reconstruction
of thin conductivity imperfections. Applicable Analysis 83 (2004),
6378 (with E. Beretta and
E. Francini ).
 Reconstruction
of conductivity inhomogeneities of small diameter via boundary
measurements. Contemporary Mathematics, Volume 348 (2004), 2332
(with H. Kang).
 Mathematical Framework and Anomaly Estimation Algorithm for Breast
Cancer Detection: Electrical Impedance Technique using TS2000
Configuration. IEEE Transactions on Biomedical Engineering 51 (2004),
no.11, 18981906 (with J.K. Seo, O. Kwon, and E.J. Woo ).
 Reconstruction
of the potential from partial Cauchy data for the Schrodinger equation.
Indiana University Mathematics Journal 53 (2004), no. 1, 169184 (with G. Uhlmann).
 Anomaly
detection in TScan transadmittance imaging system. SIAM Journal on Applied Mathematics 65 (2004/2005), no.1, 252266 (with O. Kwon, J.K. Seo, E.J. Woo
).
 Sur
le probleme de conductivité inverse. Séminaires Equations aux Dérivées
Partielles, Exposé no. XIII, 20032004, Centre de Mathématiques, Ecole
Polytechnique, Palaiseau (with H. Kang ).

2003
 Highorder
terms in the asymptotic expansions of the steadystate voltage potentials
in the presence of inhomogeneities of small diameter. SIAM Journal on Mathematical
Analysis 34 (2003), no.5, 11521166 (with H. Kang).
 Electromagnetic
Scattering by Small Dielectric Inhomogeneities. Journal de Mathématiques Pures et Appliquées
82 (2003), 749842 (with A. Khelifi).
 Boundary
integral formulas for the reconstruction of electromagnetic imperfections
of small diameter. ESAIM: COCV 9 (2003), 4966 (with S. Moskow and M. Vogelius).
 Asymptotic expansions for eigenvalues in the presence of small
inhomogeneities. Mathematical Methods in the Applied Sciences 26 (2003), 6775 (with S.
Moskow).
 Electromagnetic
diffraction by periodic chiral structures. Mathematische Nachrichten 251 (2003),
318 (with G. Bao).
 A
new method for reconstructing electromagnetic inhomogeneities of small
volume. Inverse Problems 19 (2003), 6371 (with H. Kang).
 An
inverse initial boundary value problem for the wave equation in the
presence of imperfections of small volume. SIAM Journal on Control and Optimization 41
(2003), 11941211.
 An
accurate formula for the reconstruction of conductivity inhomogeneities.
Advances in Applied Mathematics 30 (2003), 679705 (with J.K. Seo).
 Recovery of
small inhomogeneities from the scattering amplitude at a fixed frequency.
SIAM Journal on Mathematical Analysis 34 (2003), 882900 (with E. Iakovleva
and S. Moskow).
 Identification
of small amplitude perturbations in the electromagnetic parameters from
partial dynamic boundary measurements. Journal of Mathematical Analysis and Applications 282
(2003), 479494.
 Properties
of the generalized polarization tensors. Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal 1 (2003), 335348
(with H. Kang).
 Correction
of order three for the expansion of two dimensional electromagnetic fields
perturbed by the presence of inhomogeneities of small diameter. Journal of
Computational Physics 189 (2003), 371389. (with D. Volkov ).
2002
 Complete
Asymptotic Expansions of Solutions of the System of Elastostatics in the
Presence of Inhomogeneities of Small Diameter. Journal of Elasticity 67
(2002), 97129 (with H. Kang, G. Nakamura, and K. Tanuma).
 Asymptotic
formulas for perturbations in the eigenfrequencies of the full Maxwell
equations due to the presence of imperfections of small diameter.
Asymptotic Analysis 30 (2002), 331350 (with D. Volkov).
 An inverse source problem for Maxwell's equations in
magnetoencephalography. SIAM Journal on Applied Mathematics 62 (2002), 13691382
(with G. Bao and L. Fleming).
 Recovery of small electromagnetic inhomogeneities from partial
boundary measurements. Comptes Rendus de
l'Académie des Sciences, Paris, Série II 330 (2002), 199205 (with A. Ramm).
 Analysis of thin coatings of nonlinear diffraction gratings.NonLinear Analysis 3 (2002), 485502 (with G. Bao and K. Hamdache).
 Mathematical modeling of near field optics. Journal of Mathematical Analysis and Applications
265 (2002), 530446 (with G. Bao).
 A cavity problem for Maxwell's equations. Methods and Applications of Analysis 9
(2002), 249260 (with G. Bao and A. Wood).
2001
 Asymptotic
formulas for perturbations in the electromagnetic fields due to the
presence of inhomogeneities of small diameter II. The full Maxwell
equations. Journal de Mathématiques Pures et Appliquées 80 (2001), 769814 (with M.
Vogelius and D. Volkov).
 Boundary
integral formulae for the reconstruction of imperfections of small
diameter in an elastic medium. SIAM Journal on Applied Mathematics 62 (2001), 94106
(with C. Alves ).
 Analysis of the diffraction from chiral gratings. Book Chapter,
Mathematical Modelling in Optical Science, SIAM Frontiers in Applied
Mathematics 22 (2001), 179206 (with J.C. Nédélec).
 Electromagnetic
scattering on an absorbing plane. Integral Equations and Operator Theory 39
(2001), 159181 (with C. LatiriGrouz).
 Analysis
of the scattering map of a linearized inverse medium problem for
electromagnetic waves. Inverse Problems 17 (2001), 219234 (with G.
Bao).
 Analysis
of the radiation properties of a planar antenna on a photonic crystal
substrate. Mathematical Methods in the Applied Sciences 24 (2001), 10211042 (with N. Béreux
and E. Bonnetier).
2000
 A
justification of the eddy currents model for Maxwell's equations. SIAM Journal on Applied Mathematics 60 (2000), no. 5, 18051823 (with A. Buffa and J.C. Nédélec).
 Low
frequency electromagnetic scattering. SIAM Journal on Mathematical Analysis 31 (2000),
836861 (with J.C. Nédélec).
 Identification of cracks by boundary measurements at low
frequencies. Inverse Problems 16 (2000), no. 1, 133143 (with G. Bao).
 Resonances for Maxwell's equations in a periodic structure. Japan
Journal of Industrial and Applied Mathematics 17 (2000), no. 2 (with N. Béreux and J.C.
Nédélec).
 Scattering by a subwavelength object in a periodic structure. Comptes Rendus de
l'Académie des Sciences, Paris, Série I 330 (2000), 333338 (with G. Bao).
 An integral equation method for the electromagnetic scattering from
open cavities. Mathematical Methods in the Applied Sciences 23 (2000), 10571072 (with G.
Bao and A.
Wood ).
 Asymptotic
analysis of thin ferromagnetic films. Asymptotic Analysis 24 (2000), 277294
(with L. Halpern and K. Hamdache).
1999
 Chirality in
the Maxwell equations by the dipole approximation. SIAM Journal on Applied Mathematics
59 (1999), 20452059 (with K. Hamdache and J.C. Nédélec).
 Full lowfrequency asymptotics for the reduced wave equation.
Applied Mathematical Letters 12 (1999), 127131 (with J.C. Nédélec).
 Effect of nonlinear coatings on second harmonic generation. Electronic
Journal of Differential Equations 1999 (1999), 113 (with G. Bao and K. Hamdache).
 Conditions aux limites approchées pour les couches minces périodiques.
Mathematical Modelling and Numerical Analysis 33 (1999), 673692 (with C.
LatiriGrouz).
 Resonant frequencies for a narrow strip grating. Mathematical Methods in the Applied Sciences 22 (1999), 11211152 (with N. Béreux and J.C. Nédélec).
 Finite gratings at high frequencies. Journal of Mathematical Analysis and Applications 239
(1999), no. 1, 245263.
 Generalized impedance boundary conditions for the Maxwell equations as
singular perturbation problems. Communications in Partial Differential Equations 24 (1999),
821850 (J.C. Nédélec).
 The
Leontovich boundary value problem for the timeharmonic Maxwell equations
in an inhomogeneous medium: a singular perturbation problem. SIAM Journal on Applied Mathematics 59 (1999), 13221334 (with C. LatiriGrouz and J.C.
Nédélec).
1998
 Effective impedance boundary conditions for an inhomogeneous thin
layer on a curved metallic surface. IEEE Transactions on Antennas and Propagation 46 (1998),
710715 (with S. He).
 Small chirality behavior of solutions to electromagnetic scattering
problems in chiral media. Mathematical Methods in the Applied Sciences 21 (1998),
327359 (with J.C. Nédélec).
 Timeharmonic
electromagnetic fields in thin chiral layers. SIAM Journal on Mathematical Analysis 29
(1998), 395423 (with J.C. Nédélec).
 Scattering of waves by thin periodic layers at high frequencies using
the onsurface radiation condition method. IMA J. Appl. Math. 60
(1998), 199214.
 Analysis of the diffraction from periodic chiral structures. Comptes Rendus de
l'Académie des Sciences, Paris, Série I 326 (1998), 13711376 (with G. Bao).
 Couplage éléments finiséquations intégrales pour les équations de
Maxwell hétérogène. Book Chapter in Equations aux Dérivées Partielles
et Applications, Elsevier, 1998, 1934 (with J.C. Nédélec).
 The Leontovich boundary value problem for the timeharmonic Maxwell
equations. Asymptotic Analysis 18 (1998), 3348 (with C.
LatiriGrouz and J.C. Nédélec).
 Low
frequency behavior of solutions to electromagnetic scattering problems in
chiral media. SIAM Journal on Applied Mathematics 58 (1998), 10221042 (with M.
Laouadi and J.C. Nédélec).
1997
 Timeharmonic electromagnetic fields in chiral media. Book Chapter
in Modern Mathematical Methods in Diffraction Theory and its Applications
in Engineering, 174202, Methoden und Verfahen der Mathematischen Physik,
42, Lang, Frankfurt am Main, 1997 (with J.C. Nédélec).
 Numerical methods for the scattering by gratings at high
frequencies. Mathematical Methods in the Applied Sciences 20 (1997), 15311549 (with
P. Ferreira).
 Generalized effective impedance boundary conditions for an
inhomogeneous thin layer in electromagnetic scattering. J. Elect.
Waves Appl. 11 (1997), 11971212 (with S. He).
 Homogenization and scattering for gratings. Journal of Electromagnetic Waves and Applications
11 (1997), 16691683 (with S. He).
 Resonance for Maxwell's equations in a periodic structure. Comptes Rendus de
l'Académie des Sciences, Paris, Série I 325 (1997), 211215 (with N. Béreux and
J.C. Nédélec).
1996
 Diffraction at a curved grating: TM and TE cases, homogenization.
Journal of Mathematical Analysis and Applications 202 (1996), 9951026 (with T. Abboud).
 Diffraction at a curved grating: Approximation by an infinite plane
grating. Journal of Mathematical Analysis and Applications 202 (1996), 10761100 (with T.
Abboud).
1995
 Uniqueness theorems for an inverse problem in a doubly periodic
structure. Inverse Problems 11 (1995), 823833.
 Analyse asymptotique de la diffraction par un réseau courbe. Comptes Rendus de
l'Académie des Sciences, Paris, Série I 320 (1995), 10851090 (with T. Abboud and
G. Lebeau).