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

        2024

      1. Anderson localization in the subwavelength regime. Communications in Mathematical Physics, (2024) 405:1 (with B. Davies and E.O. Hiltunen).
      2. Mathematical foundations of the non-Hermitian skin effect. Archive for Rational Mechanics and Analysis, (2024), 248:33, (with S. Barandun, J. Cao, B. Davies, and E.O. Hiltunen).
      3. Quantum integral systems and concentration of plasmon resonance. Journal of the European Mathematical Society, (2024), 1-39, DOI 10.4171/JEMS/1437 (with Y. Chow, H. Liu and M. Sunkula).
      4. Topological phenomena in honeycomb Floquet metamaterials. Mathematische Annalen, 388 (2024), 2755-2785 (with T. Kosche).
      5. Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array. Foundations of Computational Mathematics, DOI 10.1007/s10208-023-09618-7 (with P. Liu).
      6. Fano resonances in all-dielectric electromagnetic metasurfaces, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 22 (2024), no. 1, 476-526 (with B. Li, H. Li, and J. Zou).
      7. A mathematical theory of super-resolution and diffraction limit. In revision for Forum of Mathematics, Sigma (with P. Liu).
      8. Subwavelength resonant acoustic scattering in fast time-modulated media. To appear in Journal de Mathématiques Pures et Appliquées (with F. Feppon).
      9. Scattering from time-modulated subwavelength resonators. To appear in Proceedings of the Royal Society A (with J. Cao, E.O. Hiltunen, and L. Rueff).
      10. Stability of the non-Hermitian skin effect. In revision for SIAM Journal on Applied Mathematics (with S. Barandun, B. Davies, E.O. Hiltunen, and P. Liu).
      11. Functional analytic methods for discrete approximation of subwavelength resonator systems. In revision for Pure and Applied Analysis (with B. Davies and E.O. Hiltunen).
      12. Mathematical foundation of sparsity-based multi-illumination super-resolution. In revision for Journal of Applied and Computational Harmonic Analysis (with P. Liu, S. Yu, O. Sabet, and L. Pelkmans).

        2023

      13. Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices. Transactions of the American Mathematical Society, 376 (2023), no. 1, 39-90 (with B. Li and J. Zou).
      14. Quantum ergodicity and localization of plasmon resonances. Journal of Functional Analysis, 285 (2023), no.4, Paper No. 109976 (with Y.T. Chow and H. Liu).
      15. Spectral convergence of defect modes in large finite resonator arrays. SIAM Journal on Mathematical Analysis, 55 (2023), no. 6, 7616-7634 (with B. Davies and E.O. Hiltunen).
      16. Design of defected non-Hermitian chains of resonator dimers for spatial and spatio-temporal localizations. SIAM Journal on Applied Mathematics, 83 (2023), no. 6, 2443-2468 (with E.O. Hiltunen and T. Kosche).
      17. Transmission properties of time-dependent one-dimensional metamaterials.Journal of Mathematical Physics, 64, 121502 (2023) (with J. Cao, E.O. Hiltunen, and L. Rueff).
      18. An operator theory for analyzing the resolution of multi-illumination imaging modalities. SIAM Journal on Imaging Sciences, 16 (2023), no. 4, 2105-2143 (with P. Liu).
      19. Dynamic super-resolution in particle tracking problems. Journal of Applied and Computational Harmonic Analysis, 64 (2023), 143-193 (with P. Liu).
      20. Super-resolution of positive near-colliding point sources. Information and Inference: a Journal of the IMA, 12 (2023), 1-25 (with P. Liu).
      21. Transmission properties of space-time modulated metamaterials. Studies in Applied Mathematics, 150 (2023), no. 2, 558-581 (with J. Cao and X. Zeng).
      22. Edge modes in subwavelength resonators in one dimension. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 21 (2023), no. 3, 964-992 (with S. Barandun, J. Cao, and F. Feppon).
      23. Subwavelength resonances in one-dimensional high-contrast acoustic media. SIAM Journal on Applied Mathematics, 83 (2023), no. 2, 625-665 (with F. Feppon and Z. Cheng).
      24. Homogenization of sound-absorbing and high-contrast acoustic metamaterials in subcritical regimes. ESAIM: Mathematical Modelling and Numerical Analysis, 57 (2023), no. 2, 491-543 (with F. Feppon).
      25. Asymptotic links between signal processing, acoustic metamaterials and biology. SIAM Journal on Imaging Sciences, 16 (2023), no. 1, 64-88 (with B. Davies).
      26. Quantitative estimates for stress concentration of the Stokes flow between adjacent circular cylinders. SIAM Journal on Mathematical Analysis, 55 (2023), no. 4, 3755-3806 (with H. Kang, D. Kim and S. Yu).

      27. Metamaterial Analysis and Design. De Gruyter Series in Applied and Numerical Mathematics, Volume 9, 2023 (with B. Davies).

        2022

      28. Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect. Journal of the European Mathematical Society, 24 (2022), no. 7, 2279-2313 (with E.O. Hiltunen and S. Yu).
      29. Robust edge modes in dislocated systems of subwavelength resonators. Journal of the London Mathematical Society, 106 (2022), 2075-2135 (with B. Davies and E.O. Hiltunen).
      30. Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials. Journal of Differential Equations, 319 (2022), 227-287 (with E.O. Hiltunen and T. Kosche).
      31. Exceptional points in parity-time-symmetric subwavelength metamaterials. SIAM Journal on Mathematical Analysis, 54 (2022), no. 6, 6223-6253 (with B. Davies, E.O. Hiltunen, H. Lee and S. Yu).
      32. Analysis of Monte-Carlo Nystrom method. SIAM Journal on Numerical Analysis, 60 (2022), no. 3, 1226-1250 (with F. Feppon).
      33. Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies. Studies in Applied Mathematics, 149 (2022), 164-229 (with F. Feppon).
      34. Non-reciprocal wave propagation in space-time modulated media. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 20 (2022), no. 4, 1228-1250 (with J. Cao and E.O. Hiltunen).
      35. Unidirectional edge modes in time-modulated metamaterials Proceedings of the Royal Society A, 478: 20220395 (with J. Cao).
      36. High order topological asymptotics: reconciling layer potentials and matched asymptotic expansions. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 20 (2022), no. 3, 957-1001 (with F. Feppon).
      37. On the validity of the tight-binding method for describing systems of subwavelength resonators. SIAM Journal on Applied Mathematics, 82 (2022), no. 4, 1611-1634 (with F. Fiorani and E.O. Hiltunen).
      38. Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations. Journal of Differential Equations, 309 (2022), 676-703 (with P. Millien and A. Vanel).
      39. Mathematical modelling of plasmonic strain sensors. Journal of Inverse and Ill-Posed Problems, 30 (2022), no. 1, 117-126 (with P. Millien and A. Vanel).
      40. Bernhard Riemann, the ear, and an atom of consciousness. Foundations of Science, 27 (2022), no. 3, 855-873 (with A. Bell and B. Davies).
      41. Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. SIAM Journal on Mathematical Analysis, 54 (2022), no. 2, 1543-1592 (with Y.T. Chow and H. Liu).
      42. Wave interaction with subwavelength resonators. In Applied Mathematical Problems in Geophysics, Lecture Notes in Mathematics, M. Chiappini, V. Vespri (eds.), Applied Mathematical Problems in Geophysics, C.I.M.E. Foundation Subseries, 2308, 23-83, Springer (with B. Davies, E.O. Hiltunen, H. Lee, S. Yu).

        2021

      43. A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only. Numerische Mathematik, 147 (2021), no. 1, 189-226 (with E. Bretin, P. Millien, and L. Seppecher).
      44. Bound states in the continuum and Fano resonances in subwavelength resonator arrays. Journal of Mathematical Physics, 62 (2021), 101506 (with B. Davies, E.O. Hiltunen, H. Lee, and S. Yu).
      45. High-order exceptional points and enhanced sensing in subwavelength resonator arrays. Studies in Applied Mathematics, 146 (2021), 440-462 (with B. Davies, E.O. Hiltunen, H. Lee and S. Yu).
      46. Time-dependent high-contrast subwavelength resonators. Journal of Computational Physics, 445 (2021), Paper No. 110594. (with E.O. Hiltunen).
      47. Perturbations of the scattering resonances of an open cavity by small particles. Part II: The transverse electric polarization case. Zeitschrift für angewandte Mathematik und Physik, 72 (2021), no. 2, 80 (with A. Dabrowski, B. Fitzpatrick, and P. Millien).

        2020

      48. A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals. Archive on Rational Mechanics and Analysis, 238 (2020) 1559-1583 (with E. Orvehed Hiltunen and S. Yu).
      49. Honeycomb-lattice Minnaert bubbles. SIAM Journal on Mathematical Analysis, 52 (2020), no. 6, 5441-5466 (with B. Fitzpatrick, H. Lee, E. Orvehed Hiltunen, and S. Yu).
      50. Topologically protected edge modes in one-dimensional chains of subwavelength resonators. Journal de Mathématiques Pures et Appliquées, 144 (2020), 17-49 (with B. Davies, E.O. Hiltunen and S. Yu).
      51. Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Proceedings of the Royal Society A, 476 (2020), 20190870 (with B. Davies).
      52. Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up. SIAM Journal on Multiscale Modeling and Simulation, 18 (2020), no. 3, 1299-1317 (with B. Davies and S. Yu).
      53. Wave enhancement through optimization of boundary conditions. SIAM Journal on Scientific Computing, 42 (2020), no. 1, B207-B224 (with O. Bruno, K. Imeri, and N. Nigam).
      54. Super-resolution in recovering embedded electromagnetic sources in high contrast media. SIAM Journal on Imaging Sciences, 13 (2020), 1467-1510 (with B. Li and J. Zou ).
      55. Mathematical analysis of electromagnetic plasmonic metasurfaces. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2020), no. 2, 758-797 (with B. Li and J. Zou).
      56. A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators. Wave Motion, 97 (2020), 102614 (with K. Imeri).
      57. Optimal mesh size for inverse medium scattering problems. SIAM Journal on Numerical Analysis, 58 (2020), no. 1, 733-756 (with Y.T. Chow and K. Liu).
      58. Robust electromagnetic pose estimation for robotic applications. IEEE Transactions on Instrumentation & Measurement, 69 (2020), no. 7, 4258-4269 (Gietler and H. Zangl).
      59. Perturbations of the scattering resonances of an open cavity by small particles. Part I: The transverse magnetic polarization case. Zeitschrift für angewandte Mathematik und Physik, (2020) 71: 102 (with A. Dabrowski, B. Fitzpatrick, and P. Millien).
      60. Robust reconstruction of fluorescence molecular tomography with an optimized illumination pattern. Inverse Problems and Imaging, 14 (2020), 535-568 (with Y. Liu and W. Ren).
      61. The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2020), no. 1, 240-293 (with D.P. Challa, Choudhury, and M. Sini).
      62. Optimization of Steklov-Neumann eigenvalues. Journal of Computational Physics, 406 (2020), 109211 (with K. Imeri and N. Nigam).

        2019

      63. Hybridization of singular plasmons via transformation optics. Proceedings of the National Academy of Sciences of the United States of America, 116 (2019), 13785-13790 (with S. Yu).
      64. A fully coupled subwavelength resonance approach to filtering auditory signals. Proceedings of the Royal Society A, 475 (2019), 20190049 (with B. Davies).
      65. Bloch waves in bubbly crystal near the first band gap: a high-frequency homogenization approach. SIAM Journal on Mathematical Analysis, 51 (2019), no. 1, 45-59 (with H. Lee and H. Zhang).
      66. Double-negative acoustic metamaterials. Quarterly of Applied Mathematics, 77 (2019), no. 4, 767-791 (with B. Fitzpatrick, H. Lee, S. Yu, and H. Zhang).
      67. Subwavelength resonances of encapsulated bubbles. Journal of Differential Equations, 267 (2019), 4719-4744 (with B. Fitzpatrick, E.O. Hiltunen, H. Lee, and S. Yu).
      68. Dynamic Spike Super-resolution and Applications to Ultrafast Ultrasound Imaging. SIAM Journal on Imaging Sciences, 12 (2019), no. 3, 1501-1527 (with G. Alberti, F. Romero, and T. Wintz).
      69. Reconstruction of domains with algebraic boundaries from generalized polarization tensors. SIAM Journal on Imaging Sciences, 12-4 (2019), 2097-2118 (with M. Putinar, A. Steenkamp and F. Triki).
      70. Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors. Mathematische Annalen, 375 (2019), 1337-1354 (with M. Putinar, A. Steenkamp, and F. Triki).
      71. Shape reconstruction of nanoparticles from their associated plasmonic resonances. Journal de Mathématiques Pures et Appliquées, 122 (2019), 23-48 (with M. Putinar, M. Ruiz, S. Yu, and H. Zhang).
      72. Shape and size dependence of dipolar plasmonic resonance of nanoparticles. Journal de Mathématiques Pures et Appliquées, 129 (2019), 242-265 (with P. Millien).
      73. Double-negative electromagnetic metamaterials due to chirality. Quarterly of Applied Mathematics, 77 (2019), no. 1, 105-130 (with W. Wu and S. Yu).
      74. Numerical determination of anomalies in multifrequency electrical impedance tomography. European Journal of Applied Mathematics, 30 (2019), no. 3, 481-504 (with F. Triki and C.H. Tsou).
      75. Linearized reconstruction for diffuse optical spectroscopic imaging. Proceedings of the Royal Society A, 475 (2019), 20180592 (with B. Jin and W. Zhang).
      76. Subwavelength resonant dielectric nanoparticules with high refractive indices. Mathematical Methods in the Applied Sciences, 42 (2019), 6567-6579 (with A. Dabrowski, B. Fitzpatrick, P. Millien, and M. Sini).
      77. A mathematical framework for tunable metasurfaces. Part I. Asymptotic Analysis, 114 (2019), no. 3-4, 129-179 (with K. Imeri and W. Wu).
      78. A mathematical framework for tunable metasurfaces. Part II. Asymptotic Analysis, 114 (2019), no. 3-4, 181-209 (with K. Imeri and W. Wu).
      79. The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies. Journal of Differential Equations, 267 (2019), 2104-2191 (with D.P. Challa, Choudhury, and M. Sini).

        2018

      80. Plasmonic interaction between nanospheres. SIAM Review, 60 (2018), no. 2, 356-385 (with S. Yu).
      81. Subwavelength localized modes for acoustic waves in bubbly crystals with a defect. SIAM Journal on Applied Mathematics, 78 (2018), no. 6, 3316-3335 (with B. Fitzpatrick, E. Orvehed Hiltunen, and S. Yu).
      82. Field expansions for systems of strongly coupled plasmonic nanoparticle. SIAM Journal on Numerical Analysis, 56 (2018), no. 4, 2029-2044. (with M. Ruiz, S. Yu, and H. Zhang).
      83. Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime. SIAM Journal on Imaging Sciences, 11 (2018), no. 3, 1931-1953 (with M. Ruiz, S. Yu, and H. Zhang).
      84. A mathematical and numerical framework for near-field optics. Proceedings of the Royal Society A, 474 (2018), 20180150 (with D. Choi and S. Yu).
      85. Minnaert resonances for acoustic waves in bubbly media. Annales de l'Institut Henri Poincaré: Analyse Nonlinéaire, 35 (2018), 1975-1998 (with B. Fitzpatrick, D. Gontier, H. Lee, and H. Zhang).
      86. Heat generation with plasmonic nanoparticles. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 16 (2018), 356-384 (with F. Romero and M. Ruiz).
      87. Reconstructing fine details of small objects by using plasmonic spectroscopic data. SIAM Journal on Imaging Sciences, 11 (2018), 1-23 (with M. Ruiz, S. Yu, and H. Zhang).
      88. Super-resolution in highly contrasted media from the perspective of scattering coefficients. Journal de Mathématiques Pures et Appliquées, 111 (2018), 191-226 (with Y.T. Chow and J. Zou).

      89. Mathematical and Computational Methods in Photonics and Phononics. Mathematical Surveys and Monographs, Volume 235, American Mathematical Society, Providence, 2018, 509 pages (with B. Fitzpatrick, H. Kang, M. Ruiz, S. Yu, and H. Zhang).

        2017

      90. Mathematical analysis of plasmonic nanoparticles: the scalar case. Archive on Rational Mechanics and Analysis, 224 (2017), 597-658 (with P. Millien, M. Ruiz, and H. Zhang).
      91. Sub-wavelength 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).
      92. Identification of an inclusion in multifrequency electric impedance tomography. Communications in Partial Differential Equations, 42 (2017), 159-177 (with F. Triki).
      93. Subwavelength phononic bandgap opening in bubbly media. Journal of Differential Equations, 263 (2017), 5610-5629 (with B. Fitzpatrick, H. Lee, S. Yu, and H. Zhang).
      94. Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency. SIAM Journal on Mathematical Analysis, 49 (2017), 3252-3276 (with H. Zhang).
      95. A signal separation technique for sub-cellular imaging using dynamic optical coherence tomography. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 15 (2017), 1155-1175 (with F. Romero and C. Shi).
      96. A mathematical and numerical framework for bubble meta-screens. SIAM Journal on Applied Mathematics, 77 (2017), 1827-1850 (with B. Fitzpatrick, D. Gontier, H. Lee, and H. Zhang).
      97. Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging. Journal of Applied and Computational Harmonic Analysis, 42 (2017), 319-349 (with G.S. Alberti).
      98. Admittivity imaging from multi-frequency micro-electrical impedance tomography. Journal of Mathematical Analysis and Applications, 449 (2017), 1601-1618 (with L. Giovangigli, L. Nguyen, and J.K. Seo).
      99. Mathematical analysis of ultrafast ultrasound imaging. SIAM Journal on Applied Mathematics, 77 (2017), 1-25 (with G.S. Alberti, F. Romero, and T. Wintz).
      100. 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).
      101. Mathematical framework for abdominal electrical impedance tomography to assess fatness. SIAM Journal on Imaging Sciences, 10 (2017), 900-919 (with H. Kwon, S. Lee, and J.K. Seo).
      102. 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).
      103. Towards monitoring critical microscopic parameters for electropermeabilization. Quarterly of Applied Mathematics, 75 (2017), 1-17 (with T. Widlak and W. Zhang).
      104. Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction. Inverse Problems, 33 (2017), 125006 (with L. Qiu, F. Santosa, and W. Zhang).
      105. Robust cardiac motion estimation using ultrafast ultrasound data: A low-rank-topology-preserving approach. Physics in Medicine and Biology, 62 (2017), 4831-4851 (with A. I. Aviles, T. Widlak, A. Casals, and M. M. Nillesen).
      106. 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).

      107. Multi-Wave 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

      108. Surface plasmon resonance of nanoparticles and applications in imaging. Archive on Rational Mechanics and Analysis, 220 (2016), 109-153 (with Y. Deng and P. Millien).
      109. Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations. Journal of Differential Equations, 261 (2016), 3615-3669 (with M. Ruiz, S. Yu, and H. Zhang).
      110. Spectroscopic conductivity imaging of a cell culture. Asymptotic Analysis, 100 (2016), 87-109 (with L. Giovangigli, H . Kwon, J.K. Seo, and T. Wintz).
      111. 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).
      112. The Linearized inverse problem in multifrequency electrical impedance tomography. SIAM Journal on Imaging Sciences, 9 (2016), 1525-1551 (with G.S. Alberti, B. Jin, J.-K. Seo, and W. Zhang).
      113. Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities. Inverse Problems, 32 (2016), 105001 (with J.K. Seo and T. Zhang).
      114. Phased and phaseless domain reconstructions in the inverse scattering problem via scattering coefficients. SIAM Journal on Applied Mathematics, 76 (2016), 1000-1030 (with Y.T. Chow and J. Zou).
      115. Spectroscopic imaging of a dilute cell suspension.Journal de Mathématiques Pures et Appliquées, 105 (2016), 603-661 (with J. Garnier, L. Giovangigli, W. Jing, and J.K. Seo).
      116. Well-posedness of a pulsed electric field model in biological media and its finite element approximation. Mathematical Models and Methods in the Applied Sciences, 26 (2016), 601-625 (with D. Chen and J. Zou).
      117. Multi-frequency acousto-electromagnetic tomography. Contemporary Mathematics, 658 (2016), 67-79 (with G. Alberti and K. Ruan).
      118. Time-domain multiscale shape identification in electro-sensing using pulse-type sources. Contemporary Mathematics, 660 (2016), 23-45 (with H. Wang).
      119. Wavelet methods in electro-sensing. Contemporary Mathematics, 660 (2016), 1-21 (with S. Mallat, I. Waldspurger, and H. Wang).

        2015

      120. A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators. Communications in Mathematical Physics, 337 (2015), issue 1, 379-428 (with H. Zhang).
      121. Elliptic estimates in composite media with smooth inclusions: an integral equation approach. Annales Scientifiques de l'Ecole Normale Supérieure, 48 (2015), 453-495 (with E. Bonnetier, F. Triki, and M. Vogelius).
      122. A mathematical and numerical framework for ultrasonically-induced Lorentz force electrical impedance tomography. Journal de Mathématiques Pures et Appliquées, 103 (2015), 1390-1409 (with P. Grasland-Mongrain, P. Millien, J.K. Seo, and L. Seppecher).
      123. Super-resolution in high contrast media. Proceedings of the Royal Society A, 2015 (471) 20140946 (with H. Zhang).
      124. Mathematical modeling in full-field optical coherence elastography. SIAM Journal on Applied Mathematics, 75 (2015), 1015-1030 (with E. Bretin, P. Millien, J.K. Seo, and L. Seppecher).
      125. Mathematical modeling of mechanical vibration assisted conductivity imaging. SIAM Journal on Applied Mathematics, 75 (2015), 1031-1046 (with H. Kwon, E. Lee, J.K. Seo, and E.J. Woo).
      126. Electrical impedance tomography-based pressure sensing using conductive membrane. SIAM Journal on Applied Mathematics, 75 (2015), 1493-1512 (with K. Lee, K. Kang, and J.K. Seo).
      127. A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction. Journal of Differential Equations, 259 (2015),5379-5405 (with S. Boulmier and P. Millien).
      128. Magnetic resonance-based 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).
      129. Detection and classification from electromagnetic induction data. Journal of Computational Physics, 301 (2015), 201-217 (with J. Chen, Z. Chen, D. Volkov, and H. Wang).
      130. Stability analysis for magnetic resonance elastography. Journal of Mathematical Analysis and Applications, 430 (2015), 919-931 (with A. Waters and H. Zhang).
      131. On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media. International Mathematics Research Notices, 22 (2015), 12105-12113 (with H. Dong, H. Kang, and S. Kim).
      132. Optimal shape design by partial spectral data. SIAM Journal on Scientific Computing, 37 (2015), B855-B883 (with Y.T. Chow, K. Liu, and J. Zou).
      133. Viscoelastic modulus reconstruction using time harmonic vibrations. Mathematical Modeling and Analysis, 20 (2015), 836-851 (with J.K. Seo and L. Zhou).
      134. Electrical impedance spectroscopy-based defect sensing technique in estimating cracks. Sensors 2015, 15, 10909-10922 (with T. Zhang, J.K. Seo, and L. Zhou).
      135. Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions. Applied and Computational Harmonic Analysis, 38 (2015), 140-147 (with D. Chung, H. Kang, and H. Wang).
      136. Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Discrete and Continuous Dynamical Systems-Series S, 8:3 (2015), 389-417 (with J. Garnier and V. Jugnon).

      137. 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

      138. Shape identification and classification in electrolocation. Proceedings of the National Academy of Sciences of the United States of America, 111 (2014), 11652-11657 (with T. Boulier, J. Garnier, and H. Wang).
      139. Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation. Journal of Functional Analysis, 267 (2014), 4361-4398 (with L. Nguyen and L. Seppecher).
      140. Generalized polarization tensors for shape description. Numerische Mathematik, 126 (2014), 199-224 (with J. Garnier, H. Kang, M. Lim, and S. Yu ).
      141. Shape identification and classification in echolocation. SIAM Journal on Imaging Sciences, 7, 1883-1905 (with M.P. Tran and H. Wang).
      142. The concept of heterogeneous scattering coefficients and its application in inverse medium scattering. SIAM Journal on Mathematical Analysis, 46 (2014), 2905-2935 (with Y.T. Chow and J. Zou).
      143. Medium induced resolution enhancement. Inverse Problems, 30 (2014), 085006 (25pp) (with J. Garnier, J. de Rosny, and K. Solna).
      144. Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors. Annales de l'Institut Henri Poincaré: Analyse Nonlinéaire, 31 (2014), 877-897 (with Y. Deng, H. Kang, and H. Lee).
      145. 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).
      146. 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).
      147. 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).
      148. 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).
      149. 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).
      150. 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).

        2013

      151. 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).
      152. 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).
      153. 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).
      154. 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).
      155. 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).
      156. 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).
      157. 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).
      158. 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).
      159. 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).
      160. 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).
      161. Correlation-based imaging in a weakly random waveguide. SIAM Multiscale Modeling and Simulations, 11 (2013), 656-681 (with J. Garnier and W. Jing).
      162. 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).
      163. 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).
      164. Time-reversal in visco-elastic media. European Journal of Applied Mathematics, 24 (2013), 565-600 (with E. Bretin, J. Garnier and A. Wahab).
      165. 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).
      166. 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).
      167. 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).
      168. 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).
      169. Modeling active electrolocation in weakly electric fish. SIAM Journal on Imaging Sciences, 5 (2013), 285-321 (with T. Boulier and J. Garnier).
      170. 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).
      171. Differential Electromagnetic Imaging, Direct and Inverse Problems in Wave Propagation and Applications, Radon Series on Computational and Applied Mathematics, Volume 14, 1-50, 2013.

      172. 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

      173. Acousto-electromagnetic tomography. SIAM Journal on Applied Mathematics, 72 (2012), 1592-1617 (with E. Bossy, J. Garnier, and L. Seppecher).
      174. Resolution and stability analysis in acousto-electric imaging. Inverse Problems, 28 (2012), 084005 (with J. Garnier and W. Jing).
      175. 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).
      176. 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).
      177. 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).
      178. 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).
      179. Coherent interferometry algorithms for photoacoustic imaging. SIAM Journal on Numerical Analysis, 50 (2012), 2259-2280 (with E. Bretin, J. Garnier, and V. Jugnon).
      180. Noise source localization in an attenuating medium. SIAM Journal on Applied Mathematics, 72 (2012), 317-336 (with E. Bretin, J. Garnier, and A. Wahab).
      181. 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).
      182. 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).
      183. Multistatic imaging of extended targets. SIAM Journal on Imaging Sciences, 5 (2012), 564-600 (with J. Garnier, H. Kang, M. Lim, and K. Solna).
      184. 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).
      185. 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

      186. 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).
      187. 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).
      188. 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).
      189. 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).
      190. 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).
      191. 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).
      192. 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).
      193. Time reversal in attenuating acoustic media.Contemporary Mathematics, Volume 548, 151-163, 2011 (with E. Bretin, J. Garnier, and A. Wahab).
      194. 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).
      195. 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).

      196. Expansion Methods. Handbook of Mathematical Methods in Imaging, 447-499, Springer, New York, 2011. (with H. Kang).

        2010

      197. Mathematical modelling in photo-acoustic imaging of small absorbers. SIAM Review, 52 (2010), 677-695 (with E. Bossy, V. Jugnon, and H. Kang ).
      198. 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).
      199. Asymptotic imaging of perfectly conducting cracks. SIAM Journal on Scientific Computing, 32 (2010), 894-922 (with H. Kang, H. Lee, and W.K. Park ).
      200. 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 ).
      201. 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 ).
      202. 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 ).
      203. 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 ).
      204. Separation of scales in elasticity imaging: a numerical study. Journal of Computational Mathematics 28 (2010), 354-370 (with P. Garapon and F. Jouve).
      205. 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

      206. Asymptotic analysis of high-contrast phononic crystals. Archive for Rational Mechanics and Analysis 193 (2009), 679-714 (with H. Kang, and H. Lee ).
      207. Enhanced resolution in structured media. SIAM Journal on Applied Mathematics 70 (2009), 1428-1452 (with E. Bonnetier and Y. Capdeboscq ).
      208. 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 ).
      209. The method of small-volume expansions for medical imaging. Lecture Notes in Mathematics, Volume 1983 (2009), 99-132 (with H. Kang ).
      210. Vibration testing for anomaly detection Mathematical Methods in the Applied Sciences 32 (2009), 863-874 (with H. Kang, E. Kim, and H. Lee).
      211. Vibration testing for detecting internal corrosion. Studies in Applied Mathematics 122 (2009), 85-104. (with H. Kang, E. Kim, H. Lee, and K. Louati ).
      212. Asymptotic formulas for thermography based recovery of anomalies. Numerical Mathematics: Theory, Methods and Applications 2 (2009), 18-42 (with A. Kozhemyak and D. Volkov).
      213. 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).
      214. Detection of internal corrosion. ESAIM: Proceedings, 26 (2009), 207-216 (with H. Kang and E. Kim).

      215. Layer Potential Techniques in Spectral Analysis. Mathematical Surveys and Monographs, Volume 153, American Mathematical Society, Providence, 2009 (with H. Kang and H. Lee).

        2008

      216. 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).
      217. 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).
      218. Direct elastic imaging of a small inclusion. SIAM Journal Imaging Sciences 1 (2008), 169-187 (with P. Calmon and E. Iakovleva).
      219. 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 ).
      220. 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 ).

      221. An Introduction to Mathematics of Emerging Biomedical Imaging. Mathématiques et Applications, Volume 62, Springer-Verlag, Berlin, 2008.

        2007

      222. Identification of small inhomogeneities: asymptotic factorization. Mathematics of Computation 76 (2007), 1425-1448 (with R. Griesmaier and M. Hanke).
      223. 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).
      224. 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).
      225. 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).
      226. Electrostatics in high contrast materials. Journal of Computational Mathematics 25 (2007), 244-251 (with H. Kang and H. Zribi).
      227. 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).
      228. 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).

      229. 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

      230. Effective parameters of elastic composites. Indiana University Mathematics Journal 55 (2006), 903-922 (with H. Kang and M. Lim ).
      231. Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review. Contemporary Mathematics, Volume 408 (2006), 1-67 (with H. Kang).
      232. Reconstruction of elastic inclusions of small volume via dynamic measurements. Applied Mathematics and Optimization 54 (2006), 223-235 (with H. Kang ).
      233. 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).
      234. Reconstruction of thin conductivity imperfections, II. The case of multiple segments. Applicable Analysis 85 (2006), 87-105 (with E. Beretta and E. Francini).
      235. 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).
      236. Scattering of electromagnetic waves by thin dielectric structures. SIAM Journal on Mathematical Analysis 38 (2006), 1329-1342 (with H. Kang and F. Santosa).
      237. 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).
      238. 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

      239. Polarization tensors and effective properties of anisotropic composite materials. Journal of Differential Equations 215 (2005), 401-428 (with H. Kang and K. Kim).
      240. 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 ).
      241. Gradient estimates for solutions to the conductivity problem. Mathematische Annalen 332 (2005), no.2, 277-286 (with H. Kang and M. Lim ).
      242. 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 ).
      243. 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).
      244. Polarization tensors and their applications. Journal of Physics: Conference Series 12 (2005), 13-22 (with H. Kang and M. Lim).
      245. 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 ).
      246. 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).
      247. 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 ).
      248. 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 ).
      249. 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

      250. Splitting of resonant and scattering frequencies under shape deformation. Journal of Differential Equations 202 (2004), 231-255 (with F. Triki ).
      251. Resonances for microstrip transmission lines. SIAM Journal on Applied Mathematics 64 (2004), no. 2, 601-636 (with F. Triki ).
      252. Guided waves in photonic bandgap structure with line defect. SIAM Journal on Applied Mathematics 64 (2004), no. 6, 2018-2033
        (with F. Santosa ).
      253. 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).
      254. Reconstruction of thin conductivity imperfections. Applicable Analysis 83 (2004), 63-78 (with E. Beretta and E. Francini ).
      255. Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements. Contemporary Mathematics, Volume 348 (2004), 23-32 (with H. Kang).
      256. 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 ).
      257. 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).
      258. 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 ).
      259. 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 ).

      260. Reconstruction of Small Inhomogeneities from Boundary Measurements. Lecture Notes in Mathematics, Volume 1846, Springer-Verlag, Berlin 2004 (with H. Kang ).

        2003

      261. 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).
      262. Electromagnetic Scattering by Small Dielectric Inhomogeneities. Journal de Mathématiques Pures et Appliquées 82 (2003), 749-842 (with A. Khelifi).
      263. Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter. ESAIM: COCV 9 (2003), 49-66 (with S. Moskow and M. Vogelius).
      264. Asymptotic expansions for eigenvalues in the presence of small inhomogeneities. Mathematical Methods in the Applied Sciences 26 (2003), 67-75 (with S. Moskow).
      265. Electromagnetic diffraction by periodic chiral structures. Mathematische Nachrichten 251 (2003), 3-18 (with G. Bao).
      266. A new method for reconstructing electromagnetic inhomogeneities of small volume. Inverse Problems 19 (2003), 63-71 (with H. Kang).
      267. 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.
      268. An accurate formula for the reconstruction of conductivity inhomogeneities. Advances in Applied Mathematics 30 (2003), 679-705 (with J.K. Seo).
      269. 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).
      270. Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements. Journal of Mathematical Analysis and Applications 282 (2003), 479-494.
      271. Properties of the generalized polarization tensors. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 1 (2003), 335-348 (with H. Kang).
      272. 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

      273. 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).
      274. 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).
      275. 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).
      276. 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).
      277. Analysis of thin coatings of nonlinear diffraction gratings.NonLinear Analysis 3 (2002), 485-502 (with G. Bao and K. Hamdache).
      278. Mathematical modeling of near field optics. Journal of Mathematical Analysis and Applications 265 (2002), 530-446 (with G. Bao).
      279. A cavity problem for Maxwell's equations. Methods and Applications of Analysis 9 (2002), 249-260 (with G. Bao and A. Wood).

        2001

      280. 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).
      281. 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 ).
      282. 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).
      283. Electromagnetic scattering on an absorbing plane. Integral Equations and Operator Theory 39 (2001), 159-181 (with C. Latiri-Grouz).
      284. Analysis of the scattering map of a linearized inverse medium problem for electromagnetic waves. Inverse Problems 17 (2001), 219-234 (with G. Bao).
      285. 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

      286. 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).
      287. Low frequency electromagnetic scattering. SIAM Journal on Mathematical Analysis 31 (2000), 836-861 (with J.-C. Nédélec).
      288. Identification of cracks by boundary measurements at low frequencies. Inverse Problems 16 (2000), no. 1, 133-143 (with G. Bao).
      289. Resonances for Maxwell's equations in a periodic structure. Japan Journal of Industrial and Applied Mathematics 17 (2000), no. 2 (with N. Bèreux and J.-C. Nédélec).
      290. 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).
      291. 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 ).
      292. Asymptotic analysis of thin ferromagnetic films. Asymptotic Analysis 24 (2000), 277-294 (with L. Halpern and K. Hamdache).

        1999

      293. 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).
      294. Full low-frequency asymptotics for the reduced wave equation. Applied Mathematical Letters 12 (1999), 127-131 (with J.-C. Nédélec).
      295. Effect of nonlinear coatings on second harmonic generation. Electronic Journal of Differential Equations 1999 (1999), 1-13 (with G. Bao and K. Hamdache).
      296. Conditions aux limites approchées pour les couches minces périodiques. Mathematical Modelling and Numerical Analysis 33 (1999), 673-692 (with C. Latiri-Grouz).
      297. Resonant frequencies for a narrow strip grating. Mathematical Methods in the Applied Sciences 22 (1999), 1121-1152 (with N. Béreux and J.-C. Nédélec).
      298. Finite gratings at high frequencies. Journal of Mathematical Analysis and Applications 239 (1999), no. 1, 245-263.
      299. Generalized impedance boundary conditions for the Maxwell equations as singular perturbation problems. Communications in Partial Differential Equations 24 (1999), 821-850 (J.-C. Nédélec).
      300. 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

      301. 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).
      302. 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).
      303. Time-harmonic electromagnetic fields in thin chiral layers. SIAM Journal on Mathematical Analysis 29 (1998), 395-423 (with J.-C. Nédélec).
      304. 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.
      305. 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).
      306. 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).
      307. 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).
      308. 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

      309. 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).
      310. Numerical methods for the scattering by gratings at high frequencies. Mathematical Methods in the Applied Sciences 20 (1997), 1531-1549 (with P. Ferreira).
      311. Generalized effective impedance boundary conditions for an inhomogeneous thin layer in electromagnetic scattering. J. Elect. Waves Appl. 11 (1997), 1197-1212 (with S. He).
      312. Homogenization and scattering for gratings. Journal of Electromagnetic Waves and Applications 11 (1997), 1669-1683 (with S. He).
      313. 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

      314. Diffraction at a curved grating: TM and TE cases, homogenization. Journal of Mathematical Analysis and Applications 202 (1996), 995-1026 (with T. Abboud).
      315. 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

      316. Uniqueness theorems for an inverse problem in a doubly periodic structure. Inverse Problems 11 (1995), 823-833.
      317. 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).