Selected Publications

      Below is a list of selected publications of mine. Some recent papers can be viewed by clicking the corresponding link.


        2014

      1. Shape identification and classification in electrolocation. To appear in Proceedings of the National Academy of Sciences of the United States of America (with T. Boulier, J. Garnier, and H. Wang).
      2. Shape identification and classification in echolocation. To appear in SIAM Journal on Imaging Sciences (with M.P. Tran and H. Wang).
      3. Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions. To appear in Applied and Computational Harmonic Analysis (with D. Chung, H. Kang, and H. Wang).
      4. The concept of heterogeneous scattering coefficients and its application in inverse medium scattering. To appear in SIAM Journal on Mathematical Analysis (with Y.T. Chow and J. Zou).
      5. Medium induced resolution enhancement. To appear in Inverse Problems (with J. Garnier, J. de Rosny, and K. Solna).
      6. Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors. To appear in Annales de l'Institut Henri Poincaré: Analyse Nonlinéaire (with Y. Deng, H. Kang, and H. Lee).
      7. Target identification using dictionary matching of generalized polarization tensors. Foundations of Computational Mathematics, 14 (2014), 27-62 (with T. Boulier, J. Garnier, W. Jing, H. Kang, and H. Wang).
      8. Elliptic estimates in composite media with smooth inclusions: an integral equation approach. Annales Scientifiques de l'Ecole Normale Supérieure, 47 (2014), fascicule 6 (with E. Bonnetier, F. Triki, and M. Vogelius).
      9. Target detection and characterization from electromagnetic induction data. Journal de Mathématiques Pures et Appliquées, 101 (2014), 54-75 (with J. Chen, Z. Chen, J. Garnier, and D. Volkov).
      10. Backpropagation imaging in nonlinear harmonic holography in the presence of measurement and medium noises. SIAM Journal on Imaging Sciences, 7 (2014), 239-276 (with J. Garnier and P. Millien).
      11. Spectral analysis of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance II. Contemporary Mathematics, 615 (2014), 1-14 (with G. Ciraolo, H. Kang, H. Lee, and G. Milton).
      12. Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes. Quarterly of Applied Mathematics, 72 (2014), 137-176 (with J. Garnier and L. Giovangigli).
      13. Generalized polarization tensors for shape description. Numerische Mathematik, 126 (2014), 199-224 (with J. Garnier, H. Kang, M. Lim, and S. Yu ).
      14. A reconstruction algorithm for ultrasound-modulated diffuse optical tomography. Proceedings of the American Mathematical Society, 142 (2014), 3221-3236 (with E. Bossy, J. Garnier, L.H. Nguyen, and L. Seppecher).
      15. Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. To appear in Discrete and Continuous Dynamical Systems-Series S (with J. Garnier and V. Jugnon).

        2013

      16. Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. SIAM Journal on Imaging Sciences, 6 (2013), 2174-2212 (with E. Bretin, J. Garnier, W. Jing, H. Kang, and A. Wahab).
      17. Enhancement of near cloaking for the full Maxwell equations.SIAM Journal on Applied Mathematics, 73 (2013), 2055-2076 (with H. Kang, H. Lee, M. Lim, and S. Yu).
      18. Reconstruction of piecewise smooth absorption map by an acousto-optic process. Communications in Partial Differential Equations, 38 (2013), 1737-1762 (with J. Garnier, L.H. Nguyen, and L. Seppecher).
      19. Tracking of a mobile target using generalized polarization tensors. SIAM Journal on Imaging Sciences, 6 (2013), 1477-1498 (with T. Boulier, J. Garnier, H. Kang, and H. Wang).
      20. 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).
      21. 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), 4446-4464 (with H. Kang, K. Kim, and H. Lee).
      22. Correlation-based imaging in a weakly random waveguide. SIAM Multiscale Modeling and Simulations, 11 (2013), 656-681 (with J. Garnier and W. Jing).
      23. Spectral analysis of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Archive for Rational Mechanics and Analysis, 208 (2013), 667-692 (with G. Ciraolo, H. Kang, H. Lee, and G. Milton).
      24. Spectral analysis of the Neumann-Poincaré operator and characterization of the stress blow-up in anti-plane elasticity. Archive for Rational Mechanics and Analysis, 208 (2013), 275-304 (with G. Ciraolo, H. Kang, H. Lee, and K. Yun).
      25. Enhancement of near-cloaking using generalized polarization tensors vanishing structures. Part I: The conductivity problem. Communications in Mathematical Physics, 317 (2013), 253-266 (with H. Kang, H. Lee, and M. Lim).
      26. Enhancement of near cloaking. Part II: the Helmholtz equation. Communications in Mathematical Physics, 317 (2013), 485-502 (with H. Kang, H. Lee, and M. Lim).
      27. Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging. Proceedings of the American Mathematical Society, 141 (2013), 3431-3446 (with J. Garnier and K. Solna).
      28. Quantitative thermo-acoustic imaging: An exact reconstruction formula. Journal of Differential Equations, 254 (2013), 1375-1395 (with J. Garnier, W. Jing, and L.H. Nguyen).
      29. Time-reversal in visco-elastic media. European Journal of Applied Mathematics, 24 (2013), 565-600 (with E. Bretin, J. Garnier and A. Wahab).
      30. 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).
      31. Stability estimates for an inverse scattering problem at high frequencies. Journal of Mathematical Analysis and Applications, 400 (2013), 525-540 (with H. Bahouri, D. Dos Santos Ferreira, and I. Gallagher).
      32. Boundary perturbations due to the presence of small linear cracks in an elastic body. Journal of Elasticity, 113 (2013), 75-91 (with H. Kang, H. Lee, and J. Lim).
      33. Limited view resolving power of linearized conductivity imaging from boundary measurements. SIAM Journal on Mathematical Analysis, 45 (2013), 1704-1722 (with J. Garnier and K. Solna).
      34. Modeling active electrolocation in weakly electric fish. SIAM Journal on Imaging Sciences, 5 (2013), 285-321 (with T. Boulier and J. Garnier).
      35. A new optimal control approach for the reconstruction of extended inclusions. SIAM Journal on Control and Optimization, 51 (2013), 1372-1394 (with P. Garapon, F. Jouve, H. Kang, M. Lim, and S. Yu).
      36. Differential Electromagnetic Imaging, Direct and Inverse Problems in Wave Propagation and Applications, Radon Series on Computational and Applied Mathematics, Volume 14, 1-50, 2013.
      37. Mathematical and Statistical Methods for Multistatic Imaging. Lecture Notes in Mathematics, Volume 2098, Springer-Verlag, Berlin (with J. Garnier, W. Jing, H. Kang, M. Lim, K. Solna, and H. Wang).


        2012

      38. Acousto-electromagnetic tomography. SIAM Journal on Applied Mathematics, 72 (2012), 1592-1617 (with E. Bossy, J. Garnier, and L. Seppecher).
      39. Resolution and stability analysis in acousto-electric imaging. Inverse Problems, 28 (2012), 084005 (with J. Garnier and W. Jing).
      40. Sharp estimates for Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media. Journal of Differential Equations, 253 (2012), 41-72 (with H. Kang and S. Kim).
      41. Enhancement of near-cloaking. Part III: numerical simulations, statistical stability, and related questions. Contemporary Mathematics, 577 (2012), 1-24 (with J. Garnier, V. Jugnon, H. Kang, H. Lee, and M. Lim).
      42. Stability and resolution analysis for a topological derivative based imaging functional. SIAM Journal on Control and Optimization, 50 (2012), 48-76 (with J. Garnier, V. Jugnon, and H. Kang).
      43. Layer potential techniques for the narrow escape problem. Journal de Mathématiques Pures et Appliquées, 97 (2012), 66-84 (with K. Kalimeris, H. Kang, and H. Lee).
      44. Coherent interferometry algorithms for photoacoustic imaging. SIAM Journal on Numerical Analysis, 50 (2012), 2259-2280 (with E. Bretin, J. Garnier, and V. Jugnon).
      45. Noise source localization in an attenuating medium. SIAM Journal on Applied Mathematics, 72 (2012), 317-336 (with E. Bretin, J. Garnier, and A. Wahab).
      46. The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion. Mathematics of Computation, 81 (2012), 367-386 (with H. Kang, M. Lim, and H. Zribi).
      47. 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), 839-860 (with H. Kang, E. Kim, and J.-Y. Lee).
      48. Multistatic imaging of extended targets. SIAM Journal on Imaging Sciences, 5 (2012), 564-600 (with J. Garnier, H. Kang, M. Lim, and K. Solna).
      49. A statistical approach to optimal target detection and localization in the presence of noise. Waves in Random and Complex Media, 22 (2012), 40-65 (with J. Garnier and K. Solna).
      50. Effective viscosity properties of dilute suspensions of arbitrarily shaped particles. Asymptotic Analysis, 80 (2012) 189-211 (with P. Garapon, H. Kang, and H. Lee).

        2011

      51. Microwave imaging by elastic perturbation. SIAM Journal on Applied Mathematics, 71 (2011), 2112-2130 (with Y. Capdeboscq, F. de Gournay, A. Rozanova, and F. Triki).
      52. The mean escape time for a narrow escape problem with multiple switching gates. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 9 (2011), 817-833 (with J. Garnier, H. Kang, H. Lee, and K. Solna).
      53. A direct algorithm for ultrasound imaging of internal corrosion SIAM Journal on Numerical Analysis, 49 (2011), 1177-1193 (with H. Kang, E. Kim, M. Lim, and K. Louati).
      54. Transient elasticity imaging and time-reversal. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (2011), 1121-1140 (with L. Guadarrama Bustos, H. Kang, and H. Lee).
      55. Transient imaging with limited-view data. SIAM Journal on Imaging Sciences, 4 (2011), 1097-1121 (with M. Asch, V. Jugnon, L. Guadarrama Bustos, and H. Kang).
      56. Reconstruction of the optical absorption coefficient of a small absorber from the absorbed energy density.SIAM Journal on Applied Mathematics, 71 (2011), 676-693 (with E. Bossy, V. Jugnon, and H. Kang).
      57. Imaging schemes for perfectly conducting cracks.SIAM Journal on Applied Mathematics, 71 (2011), 68-91. (with J. Garnier, H. Kang, W.K. Park, and K. Solna).
      58. Time reversal in attenuating acoustic media.Contemporary Mathematics, Volume 548, 151-163, 2011 (with E. Bretin, J. Garnier, and A. Wahab).
      59. Direct reconstruction methods in ultrasound imaging of small anomalies. Lecture Notes in Mathematics, Volume 2035, 31-56, Springer-Verlag, 2011 (with J. Garnier, V. Jugnon, and H. Kang).
      60. Photo-acoustic imaging for attenuating acoustic media.Lecture Notes in Mathematics, Volume 2035, 57-84, Springer-Verlag, 2011 (with E. Bretin, V. Jugnon, and A. Wahab).
      61. Expansion Methods. Handbook of Mathematical Methods in Imaging, 447-499, Springer, New York, 2011. (with H. Kang).


        2010

      62. Mathematical modelling in photo-acoustic imaging of small absorbers. SIAM Review, 52 (2010), 677-695 (with E. Bossy, V. Jugnon, and H. Kang ).
      63. Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment tensor. Journal de Mathématiques Pures et Appliquées, 94 (2010), 93-106 (with Y. Capdeboscq, H. Kang, H. Lee, G.W. Milton, and H. Zribi).
      64. Asymptotic imaging of perfectly conducting cracks. SIAM Journal on Scientific Computing, 32 (2010), 894-922 (with H. Kang, H. Lee, and W.K. Park ).
      65. 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), 2901-2922 (with H. Kang, M. Lim, and H. Zribi ).
      66. Conductivity interface problems. Part I: small perturbations of an interface. Transactions of the American Mathematical Society, 362 (2010), 2435-2449 (with H. Kang, M. Lim, and H. Zribi ).
      67. Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements. Mathematics of Computation, 79 (2010), 1757-1777 (with E. Beretta, E. Francini, H. Kang, and M. Lim ).
      68. Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case. Journal de Mathématiques Pures et Appliquées, 94 (2010), 322-339 (with E. Beretta, E. Francini, H. Kang, and M. Lim ).
      69. Separation of scales in elasticity imaging: a numerical study. Journal of Computational Mathematics 28 (2010), 354-370 (with P. Garapon and F. Jouve).
      70. Transient anomaly imaging by the acoustic radiation force. Journal of Differential Equations 249 (2010), 1579-1595 (with L. Guadarrama Bustos, P. Garapon, and H. Kang).

        2009

      71. Asymptotic analysis of high-contrast phononic crystals. Archive for Rational Mechanics and Analysis 193 (2009), 679-714 (with H. Kang, and H. Lee ).
      72. Enhanced resolution in structured media. SIAM Journal on Applied Mathematics 70 (2009), 1428-1452 (with E. Bonnetier and Y. Capdeboscq ).
      73. Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. Journal of Differential Equations, 247 (2009), 2897-2912 (with H. Kang, H. Lee, M. Lim, and H. Zribi ).
      74. The method of small-volume expansions for medical imaging. Lecture Notes in Mathematics, Volume 1983 (2009), 99-132 (with H. Kang ).
      75. Vibration testing for anomaly detection Mathematical Methods in the Applied Sciences 32 (2009), 863-874 (with H. Kang, E. Kim, and H. Lee).
      76. Vibration testing for detecting internal corrosion. Studies in Applied Mathematics 122 (2009), 85-104. (with H. Kang, E. Kim, H. Lee, and K. Louati ).
      77. Asymptotic formulas for thermography based recovery of anomalies. Numerical Mathematics: Theory, Methods and Applications 2 (2009), 18-42 (with A. Kozhemyak and D. Volkov).
      78. Mathematical models and reconstruction methods in magneto-acoustic imaging. European Journal of Applied Mathematics 20 (2009), 303-317 (with Y. Capdeboscq, H. Kang, and A. Kozhemyak).
      79. Detection of internal corrosion. ESAIM: Proceedings, 26 (2009), 207-216 (with H. Kang and E. Kim).
      80. Layer Potential Techniques in Spectral Analysis. Mathematical Surveys and Monographs, Volume 153, American Mathematical Society, Providence, 2009 (with H. Kang and H. Lee).


        2008

      81. A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements. Quarterly of Applied Mathematics 66 (2008), 139-175 (with P. Garapon, H. Kang, H. Lee).
      82. Automatic reconstruction of functional networks from a principal component analysis of the signals in MEG/EEG. IEEE Transactions on Biomedical Engineering 55 (2008), 2074-2086 (with A. Dossevi, D. Cosmelli, and L. Garnero).
      83. Direct elastic imaging of a small inclusion. SIAM Journal Imaging Sciences 1 (2008), 169-187 (with P. Calmon and E. Iakovleva).
      84. Electrical impedance tomography by elastic deformation. SIAM Journal on Applied Mathematics 68 (2008), 1557-1573 (with E. Bonnetier, Y. Capdeboscq, M. Tanter, and M. Fink ).
      85. A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements. Numerische Mathematik 108 (2008), 501-528 (with H. Kang, E. Kim, K. Louati, and M. Vogelius ).
      86. An Introduction to Mathematics of Emerging Biomedical Imaging. Mathématiques et Applications, Volume 62, Springer-Verlag, Berlin, 2008.


        2007

      87. Identification of small inhomogeneities: asymptotic factorization. Mathematics of Computation 76 (2007), 1425-1448 (with R. Griesmaier and M. Hanke).
      88. MUSIC-type electromagnetic imaging of a collection of small three-dimensional inclusions. SIAM Journal on Scientific Computing 29 (2007), 674-709 (with E. Iakovleva, D. Lesselier, and G. Perrusson).
      89. Estimates for the electric field in the presence of adjacent perfectly conducting spheres. Quarterly of Applied Mathematics 65 (2007), 339-355 (with G. Dassios, H. Kang and M. Lim).
      90. A boundary integral method for computing elastic moment tensors for ellipses and ellipsoids. Journal of Computational Mathematics 25 (2007), 2-12 (with H. Kang and H. Lee).
      91. Electrostatics in high contrast materials. Journal of Computational Mathematics 25 (2007), 244-251 (with H. Kang and H. Zribi).
      92. Asymptotic expansions for eigenvalues of the Lamé system in the presence of small inclusions. Communications in Partial Differential Equations 32 (2007), 1715-1736 (with H. Kang and H. Lee).
      93. Optimal estimates for the electric field in two-dimensions. Journal de Mathématiques Pures et Appliquées 88 (2007), 307-324 (with H. Kang, H. Lee, J. Lee, and M. Lim).
      94. Polarization and Moment Tensors: with Applications to Inverse Problems and Effective Medium Theory. Applied Mathematical Sciences Series, Volume 162, Springer-Verlag, New York, 2007 (with H. Kang).


        2006

      95. Effective parameters of elastic composites. Indiana University Mathematics Journal 55 (2006), 903-922 (with H. Kang and M. Lim ).
      96. Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review. Contemporary Mathematics, Volume 408 (2006), 1-67 (with H. Kang).
      97. Reconstruction of elastic inclusions of small volume via dynamic measurements. Applied Mathematics and Optimization 54 (2006), 223-235 (with H. Kang ).
      98. Approximation of a conductivity inclusion close to a planar surface. Applied Mathematics and Physics (ZAMP) 57 (2006), 234-243 (with H. Kang and K. Touibi).
      99. Reconstruction of thin conductivity imperfections, II. The case of multiple segments. Applicable Analysis 85 (2006), 87-105 (with E. Beretta and E. Francini).
      100. Numerical attainability by simply connected domains of optimal bounds for the polarization tensors. European Journal of Applied Mathematics 17 (2006), 201-219(with Y. Capdeboscq, H. Kang, E. Kim and M. Lim).
      101. Scattering of electromagnetic waves by thin dielectric structures. SIAM Journal on Mathematical Analysis 38 (2006), 1329-1342 (with H. Kang and F. Santosa).
      102. Layer potential techniques in spectral analysis. Part II: sensitivity analysis of spectral properties of high-contrast band-gap materials Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 5 (2006), 646-663 (with H. Kang, S. Soussi, and H. Zribi).
      103. Approximate boundary conditions for patch antennas mounted on thin dielectric layers. Communications in Computational Physics 1 (2006), 1076-1095 (with H. Kang and E. Kim).


        2005

      104. Polarization tensors and effective properties of anisotropic composite materials. Journal of Differential Equations 215 (2005), 401-428 (with H. Kang and K. Kim).
      105. Reconstruction of closely spaced small inclusions. SIAM Journal on Numerical Analysis 42 (2005), no. 6, 2408-2428 (with H. Kang, E. Kim, and M. Lim ).
      106. Gradient estimates for solutions to the conductivity problem. Mathematische Annalen 332 (2005), no.2, 277-286 (with H. Kang and M. Lim ).
      107. Boundary layer techniques for deriving the effective properties of composite materials. Asymptotic Analysis 41 (2005), no. 2, 119-140 (with H. Kang and K. Touibi ).
      108. 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), 149-160 (with D. Volkov).
      109. Polarization tensors and their applications. Journal of Physics: Conference Series 12 (2005), 13-22 (with H. Kang and M. Lim).
      110. Boundary voltage perturbations caused by small conductivity inhomogeneities nearly touching the boundary. Advances in Applied Mathematics 35 (2005), 368-391 (with M. Asch and H. Kang ).
      111. A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 3 (2005), no.3, 597-628 (with E. Iakovleva and D. Lesselier).
      112. Two numerical methods for recovering small electromagnetic inclusions from scattering amplitude at a fixed frequency. SIAM Journal on Scientific Computing 27 (2005), 130-158 (with E. Iakovleva and D. Lesselier ).
      113. Reconstruction of a small inclusion in a two-dimensional open waveguide. SIAM Journal on Applied Mathematics 65 (2005), no.6, 2107-2127 (with E. Iakovleva and H. Kang ).
      114. Direct algorithms for thermal imaging of small inclusions. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 4 (2005), 1116-1136 (with E. Iakovleva, H. Kang, and K. Kim ).


        2004

      115. Splitting of resonant and scattering frequencies under shape deformation. Journal of Differential Equations 202 (2004), 231-255 (with F. Triki ).
      116. Resonances for microstrip transmission lines. SIAM Journal on Applied Mathematics 64 (2004), no. 2, 601-636 (with F. Triki ).
      117. Guided waves in photonic bandgap structure with line defect. SIAM Journal on Applied Mathematics 64 (2004), no. 6, 2018-2033
        (with F. Santosa ).
      118. Boundary Layer Techniques for Solving the Helmholtz Equation in the Presence of Small Inhomogeneities. Journal of Mathematical Analysis and Applications 296 (2004), no. 1, 190-208 (with H. Kang).
      119. Reconstruction of thin conductivity imperfections. Applicable Analysis 83 (2004), 63-78 (with E. Beretta and E. Francini ).
      120. Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements. Contemporary Mathematics, Volume 348 (2004), 23-32 (with H. Kang).
      121. 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, 1898-1906 (with J.K. Seo, O. Kwon, and E.J. Woo ).
      122. Reconstruction of the potential from partial Cauchy data for the Schrodinger equation. Indiana University Mathematics Journal 53 (2004), no. 1, 169-184 (with G. Uhlmann).
      123. Anomaly detection in T-Scan trans-admittance imaging system. SIAM Journal on Applied Mathematics 65 (2004/2005), no.1, 252-266 (with O. Kwon, J.K. Seo, E.J. Woo ).
      124. Sur le probleme de conductivité inverse. Séminaires Equations aux Dérivées Partielles, Exposé no. XIII, 2003-2004, Centre de Mathématiques, Ecole Polytechnique, Palaiseau (with H. Kang ).
      125. Reconstruction of Small Inhomogeneities from Boundary Measurements. Lecture Notes in Mathematics, Volume 1846, Springer-Verlag, Berlin 2004 (with H. Kang ).


        2003

      126. High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of inhomogeneities of small diameter. SIAM Journal on Mathematical Analysis 34 (2003), no.5, 1152-1166 (with H. Kang).
      127. Electromagnetic Scattering by Small Dielectric Inhomogeneities. Journal de Mathématiques Pures et Appliquées 82 (2003), 749-842 (with A. Khelifi).
      128. Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter. ESAIM: COCV 9 (2003), 49-66 (with S. Moskow and M. Vogelius).
      129. Asymptotic expansions for eigenvalues in the presence of small inhomogeneities. Mathematical Methods in the Applied Sciences 26 (2003), 67-75 (with S. Moskow).
      130. Electromagnetic diffraction by periodic chiral structures. Mathematische Nachrichten 251 (2003), 3-18 (with G. Bao).
      131. A new method for reconstructing electromagnetic inhomogeneities of small volume. Inverse Problems 19 (2003), 63-71 (with H. Kang).
      132. 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), 1194-1211.
      133. An accurate formula for the reconstruction of conductivity inhomogeneities. Advances in Applied Mathematics 30 (2003), 679-705 (with J.K. Seo).
      134. Recovery of small inhomogeneities from the scattering amplitude at a fixed frequency. SIAM Journal on Mathematical Analysis 34 (2003), 882-900 (with E. Iakovleva and S. Moskow).
      135. Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements. Journal of Mathematical Analysis and Applications 282 (2003), 479-494.
      136. Properties of the generalized polarization tensors. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 1 (2003), 335-348 (with H. Kang).
      137. 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), 371-389. (with D. Volkov ).


        2002

      138. Complete Asymptotic Expansions of Solutions of the System of Elastostatics in the Presence of Inhomogeneities of Small Diameter. Journal of Elasticity 67 (2002), 97-129 (with H. Kang, G. Nakamura, and K. Tanuma).
      139. 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), 331-350 (with D. Volkov).
      140. An inverse source problem for Maxwell's equations in magnetoencephalography. SIAM Journal on Applied Mathematics 62 (2002), 1369-1382 (with G. Bao and L. Fleming).
      141. Recovery of small electromagnetic inhomogeneities from partial boundary measurements. Comptes Rendus de l'Académie des Sciences, Paris, Série II 330 (2002), 199-205 (with A. Ramm).
      142. Analysis of thin coatings of nonlinear diffraction gratings.NonLinear Analysis 3 (2002), 485-502 (with G. Bao and K. Hamdache).
      143. Mathematical modeling of near field optics. Journal of Mathematical Analysis and Applications 265 (2002), 530-446 (with G. Bao).
      144. A cavity problem for Maxwell's equations. Methods and Applications of Analysis 9 (2002), 249-260 (with G. Bao and A. Wood).


        2001

      145. 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), 769-814 (with M. Vogelius and D. Volkov).
      146. Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium. SIAM Journal on Applied Mathematics 62 (2001), 94-106 (with C. Alves ).
      147. Analysis of the diffraction from chiral gratings. Book Chapter, Mathematical Modelling in Optical Science, SIAM Frontiers in Applied Mathematics 22 (2001), 179-206 (with J.-C. Nédélec).
      148. Electromagnetic scattering on an absorbing plane. Integral Equations and Operator Theory 39 (2001), 159-181 (with C. Latiri-Grouz).
      149. Analysis of the scattering map of a linearized inverse medium problem for electromagnetic waves. Inverse Problems 17 (2001), 219-234 (with G. Bao).
      150. Analysis of the radiation properties of a planar antenna on a photonic crystal substrate. Mathematical Methods in the Applied Sciences 24 (2001), 1021-1042 (with N. Béreux and E. Bonnetier).


        2000

      151. A justification of the eddy currents model for Maxwell's equations. SIAM Journal on Applied Mathematics 60 (2000), no. 5, 1805-1823 (with A. Buffa and J.-C. Nédélec).
      152. Low frequency electromagnetic scattering. SIAM Journal on Mathematical Analysis 31 (2000), 836-861 (with J.-C. Nédélec).
      153. Identification of cracks by boundary measurements at low frequencies. Inverse Problems 16 (2000), no. 1, 133-143 (with G. Bao).
      154. 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).
      155. Scattering by a subwavelength object in a periodic structure. Comptes Rendus de l'Académie des Sciences, Paris, Série I 330 (2000), 333-338 (with G. Bao).
      156. An integral equation method for the electromagnetic scattering from open cavities. Mathematical Methods in the Applied Sciences 23 (2000), 1057-1072 (with G. Bao and A. Wood ).
      157. Asymptotic analysis of thin ferromagnetic films. Asymptotic Analysis 24 (2000), 277-294 (with L. Halpern and K. Hamdache).


        1999

      158. Chirality in the Maxwell equations by the dipole approximation. SIAM Journal on Applied Mathematics 59 (1999), 2045-2059 (with K. Hamdache and J.-C. Nédélec).
      159. Full low-frequency asymptotics for the reduced wave equation. Applied Mathematical Letters 12 (1999), 127-131 (with J.-C. Nédélec).
      160. Effect of nonlinear coatings on second harmonic generation. Electronic Journal of Differential Equations 1999 (1999), 1-13 (with G. Bao and K. Hamdache).
      161. Conditions aux limites approchées pour les couches minces périodiques. Mathematical Modelling and Numerical Analysis 33 (1999), 673-692 (with C. Latiri-Grouz).
      162. Resonant frequencies for a narrow strip grating. Mathematical Methods in the Applied Sciences 22 (1999), 1121-1152 (with N. Béreux and J.-C. Nédélec).
      163. Finite gratings at high frequencies. Journal of Mathematical Analysis and Applications 239 (1999), no. 1, 245-263.
      164. Generalized impedance boundary conditions for the Maxwell equations as singular perturbation problems. Communications in Partial Differential Equations 24 (1999), 821-850 (J.-C. Nédélec).
      165. The Leontovich boundary value problem for the time-harmonic Maxwell equations in an inhomogeneous medium: a singular perturbation problem. SIAM Journal on Applied Mathematics 59 (1999), 1322-1334 (with C. Latiri-Grouz and J.-C. Nédélec).


        1998

      166. Effective impedance boundary conditions for an inhomogeneous thin layer on a curved metallic surface. IEEE Transactions on Antennas and Propagation 46 (1998), 710-715 (with S. He).
      167. Small chirality behavior of solutions to electromagnetic scattering problems in chiral media. Mathematical Methods in the Applied Sciences 21 (1998), 327-359 (with J.-C. Nédélec).
      168. Time-harmonic electromagnetic fields in thin chiral layers. SIAM Journal on Mathematical Analysis 29 (1998), 395-423 (with J.-C. Nédélec).
      169. Scattering of waves by thin periodic layers at high frequencies using the on-surface radiation condition method. IMA J. Appl. Math. 60 (1998), 199-214.
      170. Analysis of the diffraction from periodic chiral structures. Comptes Rendus de l'Académie des Sciences, Paris, Série I 326 (1998), 1371-1376 (with G. Bao).
      171. Couplage éléments finis-équations intégrales pour les équations de Maxwell hétérogène. Book Chapter in Equations aux Dérivées Partielles et Applications, Elsevier, 1998, 19-34 (with J.-C. Nédélec).
      172. The Leontovich boundary value problem for the time-harmonic Maxwell equations. Asymptotic Analysis 18 (1998), 33-48 (with C. Latiri-Grouz and J.-C. Nédélec).
      173. Low frequency behavior of solutions to electromagnetic scattering problems in chiral media. SIAM Journal on Applied Mathematics 58 (1998), 1022-1042 (with M. Laouadi and J.-C. Nédélec).


        1997

      174. Time-harmonic electromagnetic fields in chiral media. Book Chapter in Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering, 174-202, Methoden und Verfahen der Mathematischen Physik, 42, Lang, Frankfurt am Main, 1997 (with J.-C. Nédélec).
      175. Numerical methods for the scattering by gratings at high frequencies. Mathematical Methods in the Applied Sciences 20 (1997), 1531-1549 (with P. Ferreira).
      176. Generalized effective impedance boundary conditions for an inhomogeneous thin layer in electromagnetic scattering. J. Elect. Waves Appl. 11 (1997), 1197-1212 (with S. He).
      177. Homogenization and scattering for gratings. Journal of Electromagnetic Waves and Applications 11 (1997), 1669-1683 (with S. He).
      178. Resonance for Maxwell's equations in a periodic structure. Comptes Rendus de l'Académie des Sciences, Paris, Série I 325 (1997), 211-215 (with N. Béreux and J.-C. Nédélec).


        1996

      179. Diffraction at a curved grating: TM and TE cases, homogenization. Journal of Mathematical Analysis and Applications 202 (1996), 995-1026 (with T. Abboud).
      180. Diffraction at a curved grating: Approximation by an infinite plane grating. Journal of Mathematical Analysis and Applications 202 (1996), 1076-1100 (with T. Abboud).


        1995

      181. Uniqueness theorems for an inverse problem in a doubly periodic structure. Inverse Problems 11 (1995), 823-833.
      182. Analyse asymptotique de la diffraction par un réseau courbe. Comptes Rendus de l'Académie des Sciences, Paris, Série I 320 (1995), 1085-1090 (with T. Abboud and G. Lebeau).