Selected Publications
Below is a list of selected publications of mine. Some
recent papers can be viewed by clicking the
corresponding link.
2011
- The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion. To appear in Mathematics of Computation (with H. Kang, M. Lim, and H. Zribi).
- The generalized polarization tensors for resolved imaging. Part II: Shape and electromagnetic parameters reconstruction of an
electromagnetic inclusion from multistatic measurements. To appear in Mathematics of Computation (with H. Kang, E. Kim, and J.-Y. Lee).
- Multistatic imaging of extended targets
To appear in SIAM Journal on Imaging Sciences(with J. Garnier, H. Kang, M. Lim, and K. Solna).
- A direct algorithm for ultrasound imaging of internal corrosion SIAM Journal on Numerical Analysis (with H. Kang, E. Kim, M. Lim, and K. Louati).
- Transient elasticity imaging and time-reversal. To appear in Proceedings of the Royal Society of Edinburgh: Section A Mathematics(with L. Guadarrama Bustos, H. Kang, and H. Lee).
- Transient imaging with limited-view data.To appear in SIAM Journal on Imaging Sciences(with M. Asch, V. Jugnon, L. Guadarrama Bustos, and H. Kang).
- Effective viscosity properties of dilute suspensions of arbitrarily shaped particles. Asymptotic Analysis (under revision)(with
P. Garapon, H. Kang, and H. Lee).
- Quantitative photo-acoustic imaging of small absorbers.To appear in SIAM Journal on Applied Mathematics (with E. Bossy, V. Jugnon, and H. Kang).
- 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).
- A statistical approach to optimal target detection and localization in the presence of noise. To appear in Waves in Random and Complex Media (with J. Garnier and K. Solna).
- Time reversal in attenuating acoustic media. To appear in Contemporary Mathematics, 2011 (with J. Garnier, E. Bretin, and A. Wahab).
- Direct reconstruction methods in ultrasound imaging. Chapter in a Lecture Notes in Mathematics Volume, Springer-Verlag, 2011 (with J. Garnier, V. Jugnon, and H. Kang).
- Photo-acoustic imaging for attenuating acoustic media. Chapter in a Lecture Notes in Mathematics Volume, Springer-Verlag, 2011 (with E. Bretin, V. Jugnon, and A. Wahab).
Expansion Methods.
Handbook of Mathematical Methods in Imaging, 447-499, Springer, New York, 2011. (with H. Kang).
2010
- Mathematical modelling in photo-acoustic imaging of small absorbers. SIAM Review, 52 (2010), 677-695 (with E. Bossy, V. Jugnon, and H. Kang ).
- Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment
tensor. Journal de Mathématiques Pures et Appliquées, 94 (2010), 93-106 (with Y. Capdeboscq, H. Kang, H. Lee, G.W. Milton, and H. Zribi).
- Asymptotic imaging of perfectly conducting cracks. SIAM Journal on Scientific Computing, 32 (2010), 894-922 (with H. Kang, H. Lee, and W.K. Park ).
- Layer
potential techniques in spectral analysis. Part I: complete asymptotic
expansions for eigenvalues of the Laplacian in domains with small
inclusions. Transactions of the American Mathematical Society, 362 (2010), 2901-2922
(with H. Kang, M. Lim, and H. Zribi ).
- Conductivity
interface problems. Part I: small perturbations of an interface. Transactions of the American Mathematical Society, 362 (2010), 2435-2449 (with H. Kang, M. Lim, and H. Zribi ).
- Optimization algorithm for reconstructing interface changes of
a conductivity inclusion from modal measurements. Mathematics of Computation, 79 (2010), 1757-1777 (with E. Beretta, E. Francini, H. Kang, and M. Lim ).
- Reconstruction of small interface
changes of an inclusion from modal measurements II: The elastic case. Journal de Mathématiques Pures et Appliquées, 94 (2010), 322-339
(with E. Beretta, E. Francini, H. Kang, and M. Lim ).
- Separation of scales in elasticity imaging: a numerical study. Journal of Computational Mathematics 28 (2010), 354-370 (with P. Garapon and F. Jouve).
- 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
- Asymptotic analysis of high-contrast phononic crystals. Archive for Rational Mechanics and Analysis 193 (2009), 679-714 (with H.
Kang, and H. Lee ).
- Enhanced resolution in structured media. SIAM Journal on Applied Mathematics 70 (2009), 1428-1452
(with E. Bonnetier and Y. Capdeboscq ).
- Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. Journal of Differential Equations, 247 (2009), 2897-2912 (with H. Kang, H. Lee, M. Lim, and H. Zribi ).
- The method of small-volume expansions for medical imaging. Lecture Notes in Mathematics, Volume 1983 (2009), 99-132 (with H. Kang ).
- Vibration testing for anomaly detection Mathematical Methods in the Applied Sciences 32 (2009), 863-874 (with H. Kang, E. Kim, and H. Lee).
- Vibration testing for detecting internal corrosion. Studies in Applied Mathematics 122 (2009), 85-104. (with H. Kang, E. Kim, H. Lee, and K. Louati ).
- Asymptotic formulas for thermography
based recovery of anomalies. Numerical Mathematics: Theory, Methods and Applications 2 (2009), 18-42 (with A. Kozhemyak and D. Volkov).
- 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).
- Detection of internal corrosion. ESAIM: Proceedings, 26 (2009), 207-216 (with H. Kang and E. Kim).
Layer Potential Techniques in Spectral Analysis.
Mathematical Surveys and Monographs, Volume 153, American Mathematical Society, Providence, 2009
(with H. Kang and H. Lee).
2008
- A method of biological
tissues elasticity reconstruction using magnetic resonance
elastography measurements. Quarterly of Applied Mathematics 66 (2008), 139-175 (with P. Garapon, H.
Kang, H. Lee).
- Automatic reconstruction of functional
networks from a principal component analysis of the signals in
MEG/EEG. IEEE Transactions on Biomedical Engineering 55 (2008), 2074-2086 (with A. Dossevi, D. Cosmelli, and L. Garnero).
-
Direct elastic imaging of a small inclusion. SIAM Journal
Imaging Sciences 1 (2008), 169-187 (with P. Calmon and E. Iakovleva).
- 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 ).
- 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 ).
-
An Introduction to Mathematics of Emerging Biomedical Imaging.
Mathématiques et Applications, Volume 62, Springer-Verlag, Berlin, 2008.
2007
- Identification
of small inhomogeneities: asymptotic factorization.
Mathematics of Computation 76 (2007), 1425-1448 (with R. Griesmaier and M. Hanke).
- 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).
- 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).
- 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).
- Electrostatics in high contrast materials.
Journal of Computational Mathematics 25 (2007), 244-251 (with H. Kang and H. Zribi).
- Asymptotic
expansions for eigenvalues of the Lamé system in the presence of small
inclusions. Communications in Partial Differential
Equations 32 (2007), 1715-1736 (with H. Kang and H. Lee).
- 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).
-
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
- Effective
parameters of elastic composites. Indiana University Mathematics Journal 55 (2006),
903-922 (with H. Kang and M. Lim ).
- Generalized
polarization tensors, inverse conductivity problems, and dilute composite
materials: a review. Contemporary Mathematics, Volume 408 (2006), 1-67 (with H.
Kang).
- Reconstruction
of elastic inclusions of small volume via dynamic measurements. Applied Mathematics and Optimization 54 (2006), 223-235 (with H. Kang ).
- 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).
- Reconstruction
of thin conductivity imperfections, II. The case of multiple segments.
Applicable Analysis 85 (2006), 87-105 (with E. Beretta and E.
Francini).
- Numerical
attainability by simply connected domains of optimal bounds for the
polarization tensors. European Journal of Applied Mathematics 17 (2006), 201-219(with
Y. Capdeboscq, H. Kang, E. Kim and M. Lim).
- Scattering
of electromagnetic waves by thin dielectric structures. SIAM Journal on Mathematical Analysis 38 (2006), 1329-1342 (with H. Kang and F. Santosa).
- 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).
- 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
- Polarization
tensors and effective properties of anisotropic composite materials.
Journal of Differential Equations 215 (2005), 401-428 (with H. Kang and K. Kim).
- 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 ).
- Gradient
estimates for solutions to the conductivity problem. Mathematische Annalen 332
(2005), no.2, 277-286 (with H. Kang and M. Lim ).
- 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 ).
- 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).
- Polarization
tensors and their applications. Journal of Physics: Conference Series
12 (2005), 13-22 (with H. Kang and M. Lim).
- 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 ).
- 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).
- 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 ).
- 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
).
- 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
- Splitting
of resonant and scattering frequencies under shape deformation. Journal of Differential Equations 202 (2004), 231-255 (with F. Triki ).
- Resonances
for microstrip transmission lines. SIAM Journal on Applied Mathematics 64 (2004), no.
2, 601-636 (with F. Triki ).
- Guided waves
in photonic bandgap structure with line defect. SIAM Journal on Applied Mathematics 64
(2004), no. 6, 2018-2033
(with F. Santosa ).
- Boundary
Layer Techniques for Solving the Helmholtz Equation in the Presence of
Small Inhomogeneities. Journal of Mathematical Analysis and Applications 296 (2004), no. 1, 190-208
(with H. Kang).
- Reconstruction
of thin conductivity imperfections. Applicable Analysis 83 (2004),
63-78 (with E. Beretta and
E. Francini ).
- Reconstruction
of conductivity inhomogeneities of small diameter via boundary
measurements. Contemporary Mathematics, Volume 348 (2004), 23-32
(with H. Kang).
- Mathematical Framework and Anomaly Estimation Algorithm for Breast
Cancer Detection: Electrical Impedance Technique using TS2000
Configuration. IEEE Transactions on Biomedical Engineering 51 (2004),
no.11, 1898-1906 (with J.K. Seo, O. Kwon, and E.J. Woo ).
- Reconstruction
of the potential from partial Cauchy data for the Schrodinger equation.
Indiana University Mathematics Journal 53 (2004), no. 1, 169-184 (with G. Uhlmann).
- 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
).
- 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 ).
Reconstruction
of Small Inhomogeneities from Boundary Measurements.
Lecture Notes in
Mathematics, Volume 1846, Springer-Verlag, Berlin 2004
(with H. Kang ).
2003
- 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).
- Electromagnetic
Scattering by Small Dielectric Inhomogeneities. Journal de Mathématiques Pures et Appliquées
82 (2003), 749-842 (with A. Khelifi).
- Boundary
integral formulas for the reconstruction of electromagnetic imperfections
of small diameter. ESAIM: COCV 9 (2003), 49-66 (with S. Moskow and M. Vogelius).
- Asymptotic expansions for eigenvalues in the presence of small
inhomogeneities. Mathematical Methods in the Applied Sciences 26 (2003), 67-75 (with S.
Moskow).
- Electromagnetic
diffraction by periodic chiral structures. Mathematische Nachrichten 251 (2003),
3-18 (with G. Bao).
- A
new method for reconstructing electromagnetic inhomogeneities of small
volume. Inverse Problems 19 (2003), 63-71 (with H. Kang).
- An
inverse initial boundary value problem for the wave equation in the
presence of imperfections of small volume. SIAM Journal on Control and Optimization 41
(2003), 1194-1211.
- An
accurate formula for the reconstruction of conductivity inhomogeneities.
Advances in Applied Mathematics 30 (2003), 679-705 (with J.K. Seo).
- 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).
- Identification
of small amplitude perturbations in the electromagnetic parameters from
partial dynamic boundary measurements. Journal of Mathematical Analysis and Applications 282
(2003), 479-494.
- Properties
of the generalized polarization tensors. Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal 1 (2003), 335-348
(with H. Kang).
- Correction
of order three for the expansion of two dimensional electromagnetic fields
perturbed by the presence of inhomogeneities of small diameter. Journal of
Computational Physics 189 (2003), 371-389. (with D. Volkov ).
2002
- Complete
Asymptotic Expansions of Solutions of the System of Elastostatics in the
Presence of Inhomogeneities of Small Diameter. Journal of Elasticity 67
(2002), 97-129 (with H. Kang, G. Nakamura, and K. Tanuma).
- Asymptotic
formulas for perturbations in the eigenfrequencies of the full Maxwell
equations due to the presence of imperfections of small diameter.
Asymptotic Analysis 30 (2002), 331-350 (with D. Volkov).
- 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).
- 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).
- Analysis of thin coatings of nonlinear diffraction gratings.NonLinear Analysis 3 (2002), 485-502 (with G. Bao and K. Hamdache).
- Mathematical modeling of near field optics. Journal of Mathematical Analysis and Applications
265 (2002), 530-446 (with G. Bao).
- A cavity problem for Maxwell's equations. Methods and Applications of Analysis 9
(2002), 249-260 (with G. Bao and A. Wood).
2001
- Asymptotic
formulas for perturbations in the electromagnetic fields due to the
presence of inhomogeneities of small diameter II. The full Maxwell
equations. Journal de Mathématiques Pures et Appliquées 80 (2001), 769-814 (with M.
Vogelius and D. Volkov).
- Boundary
integral formulae for the reconstruction of imperfections of small
diameter in an elastic medium. SIAM Journal on Applied Mathematics 62 (2001), 94-106
(with C. Alves ).
- 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).
- Electromagnetic
scattering on an absorbing plane. Integral Equations and Operator Theory 39
(2001), 159-181 (with C. Latiri-Grouz).
- Analysis
of the scattering map of a linearized inverse medium problem for
electromagnetic waves. Inverse Problems 17 (2001), 219-234 (with G.
Bao).
- Analysis
of the radiation properties of a planar antenna on a photonic crystal
substrate. Mathematical Methods in the Applied Sciences 24 (2001), 1021-1042 (with N. Béreux
and E. Bonnetier).
2000
- A
justification of the eddy currents model for Maxwell's equations. SIAM Journal on Applied Mathematics 60 (2000), no. 5, 1805-1823 (with A. Buffa and J.-C. Nédélec).
- Low
frequency electromagnetic scattering. SIAM Journal on Mathematical Analysis 31 (2000),
836-861 (with J.-C. Nédélec).
- Identification of cracks by boundary measurements at low
frequencies. Inverse Problems 16 (2000), no. 1, 133-143 (with G. Bao).
- Resonances for Maxwell's equations in a periodic structure. Japan
Journal of Industrial and Applied Mathematics 17 (2000), no. 2 (with N. B?reux and J.-C.
Nédélec).
- Scattering by a subwavelength object in a periodic structure. Comptes Rendus de
l'Académie des Sciences, Paris, Série I 330 (2000), 333-338 (with G. Bao).
- 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 ).
- Asymptotic
analysis of thin ferromagnetic films. Asymptotic Analysis 24 (2000), 277-294
(with L. Halpern and K. Hamdache).
1999
- 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).
- Full low-frequency asymptotics for the reduced wave equation.
Applied Mathematical Letters 12 (1999), 127-131 (with J.-C. Nédélec).
- Effect of nonlinear coatings on second harmonic generation. Electronic
Journal of Differential Equations 1999 (1999), 1-13 (with G. Bao and K. Hamdache).
- Conditions aux limites approchées pour les couches minces périodiques.
Mathematical Modelling and Numerical Analysis 33 (1999), 673-692 (with C.
Latiri-Grouz).
- Resonant frequencies for a narrow strip grating. Mathematical Methods in the Applied Sciences 22 (1999), 1121-1152 (with N. Béreux and J.-C. Nédélec).
- Finite gratings at high frequencies. Journal of Mathematical Analysis and Applications 239
(1999), no. 1, 245-263.
- Generalized impedance boundary conditions for the Maxwell equations as
singular perturbation problems. Communications in Partial Differential Equations 24 (1999),
821-850 (J.-C. Nédélec).
- 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
- 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).
- 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).
- Time-harmonic
electromagnetic fields in thin chiral layers. SIAM Journal on Mathematical Analysis 29
(1998), 395-423 (with J.-C. Nédélec).
- 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.
- 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).
- 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).
- 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).
- 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
- 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).
- Numerical methods for the scattering by gratings at high
frequencies. Mathematical Methods in the Applied Sciences 20 (1997), 1531-1549 (with
P. Ferreira).
- Generalized effective impedance boundary conditions for an
inhomogeneous thin layer in electromagnetic scattering. J. Elect.
Waves Appl. 11 (1997), 1197-1212 (with S. He).
- Homogenization and scattering for gratings. Journal of Electromagnetic Waves and Applications
11 (1997), 1669-1683 (with S. He).
- 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
- Diffraction at a curved grating: TM and TE cases, homogenization.
Journal of Mathematical Analysis and Applications 202 (1996), 995-1026 (with T. Abboud).
- 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
- Uniqueness theorems for an inverse problem in a doubly periodic
structure. Inverse Problems 11 (1995), 823-833.
- 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).