Fioralba
Cakoni Google
Scholar
Books
- (with David Colton) "Qualitative Methods in Inverse Scattering Theory'', Springer, Series on Interaction of Mathematics and Mechanics (2006).
- (with David Colton and Peter Monk) "The linear Sampling Method in Inverse Electromagnetic Scattering", CBMS Series, SIAM Publications 80, (2011).
- (with David Colton) " A Qualitative Approach to Inverse Scattering Theory'', Applied Mathematical Sciences, Vol 188, Springer, (2014).
- (with David Colton and Houssem Haddar) "Inverse Scattering Theory and Transmission Eigenvalues'', CBMS Series, SIAM Publications 88, (2016).
- (with David Colton and Houssem Haddar) "Inverse Scattering Theory and Transmission Eigenvalues'', CBMS Series, SIAM Publications, 2nd Edition 98, (2023).
Editor
- F. Cakoni, H. Haddar - Guest Editors of the
Special Issue of Inverse Problems on Transmission Eigenvalues
-
F. Cakoni, H. Haddar, A. Kirsch - Guest Editors of
the Special Issue of Inverse Problems in
Memory
of Professor Armin Lechleiter, 1982-2018.
- F. Cakoni, H. Haddar - Guest Editors of the Special Issue of Research in the Mathematical Sciences on Transmission Eigenvalues and Related Spectral Problems in Scattering Theory.
1. (with George
Dassios) `The coated thermoelastic
body within a low-frequency elastodynamic
field', Int. J. Ingng. Sci., 36,
1815-1838, (1998).
2. (with George Dassios) `The Atkinson-Wilcox theorem
in thermoelasticity', Quart.
Appl. Math., Vol. LVII, N.4, 711-795 (1999).
3. `Boundary integral
method for thermoelastic screen scattering problem in R^3', , Math. Meth. Appl. Sci., 23, 441-466
(2000).
4. (with David Colton
and Peter Monk) `The direct and
inverse scattering problems for partially coated obstacles', Inverse
Problems, 17, 1997-2015, (2001). Corrigendum,
Inverse Problems, 29, 029501, (2013).
5. (with Marius Bochniak) `Domain
sensitivity analysis of the acoustic far-field pattern ,
Math. Meth. Appl. Sci., 25, 595-613 (2002).
6. (with David Colton and Houssem
Haddar) `The
linear sampling method for anisotropic media' , J.Comput.
Appl. Math., 146, 285-299 (2002).
7. (with Marius Bochniak)`Domain
sensitivity analysis of the elastic far-field patterns in
scattering from nonsmooth
obstacles' , J. Math. Anal. Appl. Vol. 272, No.1, 318-334 (2002).
8. (with David Colton) 'The
linear sampling method for cracks',
Inverse Problems, 19, 279-295 (2003).
9. (with David
Colton) `Combined far field
operators in electromagnetic inverse scattering theory'
, Math. Meth. Appl. Sci., 26, No. 5, 413-429 (2003).
10. (with David Colton) `On
the mathematical basis of the linear sampling method' ,
Georgian Mathematical Journal, Kupradze's
special issue, 10, No 3, 411-425 (2003)
11. (with David
Colton) `A uniqueness theorem for
an inverse electromagnetic scattering problem in
inhomogeneous anisotropic media' Proc. Edinburgh Math.
Soc. 46, 293-314 (2003).
12. (with David Colton and Eric Darrigrand ) `The
inverse electromagnetic scattering problem for screens',
Inverse Problems, 19, 627-642 (2003).
13. (with David Colton) ' The determination of the surface
impedance of a partially coated obstacle from far field data'
SIAM J. Appl. Math. 64,
709-723 (2004).
14. (with David
Colton) ' A target signature for
distinguishing perfect conductors from anisotropic media of
finite conductivity', Math. Comp. Sim. 66/4-5, 325-335
(2004).
15 .(with David Colton and Peter Monk) `The electromganetic
inverse scattering problem for partially coated Lipschitz
Domains' Proc. Royal Society of Edinburgh 134A, 661-682
(2004).
16. (with Eric Darrigrand)
' The inverse electromagnetic
scattering problem for a mixed boundary value problem for
screens' J.Comput.
Appl. Math., 174, 251-269 (2005).
17. (with David
Colton and Peter Monk) 'The
determination of the surface conductivity of a partially
coated dielectric' SIAM J. Appl. Math. 65, 767-789
(2005).
18. (with David Colton) 'Open
problems in the
qualitative approach to inverse electromagnetic scattering
theory' European Jour. Appl. Math. 16, 411-425
(2005).
19. (with George Hsiao and Wolfgang Wendland) ' On the boundary integral equations method
for a mixed boundary value problem of the biharmonic
equation' Complex Var. Theory Appl. 50, 681-696 (2005) .
20. (with M'Barek Fares and Houssem Haddar)
'Analysis of tow linear sampling
methods applied to electromagnetic imagining of buried
objects' Inverse Problems 22, 845-867 (2006).
21. (with David Colton)
'Target identification of buried
coated objects' Computational and Applied
Mathematics 25, No 2-3, 269-288 (2006).
22. (with David Colton
and P. Monk) 'On the use of
transmission eigenvalues to estimate the index of
refraction from far field data' Inverse Problems, 23
507-522 (2007).
23. (with Rainer Kress) 'Integral equations for inverse
problems in corrosion detection from partial Cauchy data'
Inverse Problems and Imaging, 1, No 2,
229 - 245 (2007).
24. `Recent
developments in the qualitative approach to electromagnetic
scattering theory' J. Comput. Appl. Math., 204, 242 -255
(2007).
25. (with David Colton
and Peter Monk)'The inverse
electromagnetic scattering problem for a partially coated
dielectric' J. Comput.
Appl. Math. 204, 256 -267 (2007).
26. (with Houssem Haddar)
'A variational approach for the solution of
electromagnetic interior transmission problem for
anisotropic media' Inverse Problems and Imaging, 1, No
3, 443-456 (2007).
27. (with Houssem Haddar) 'Identification
of partially coated anisotropic
buried objects using electromagnetic Cauchy data'
J. Int. Eqns. Appl. 19, No 3, 361-391 (2007).
28. (with David Colton) 'Inequalities in Inverse Scattering
Theory' J. Inverse and Ill-Posed Problems,
15, 483-491 (2007).
29. (with David
Colton and Mehmet Cayoren) 'Transmission eigenvalues and the
nondestructive testing of dielectrics' Inverse Problems,
26, paper 065016 (2008)
30. (with Noam Zeev)
'The identification of thin dielectric
objects from far field and
near field scattering data' SIAM J. Appl. Math. 69, no
4, 1024-1042 (2009).
31. (with David
Colton and Houssem Haddar) 'The
computation of lower bounds for the norm of the index of
refraction in an anisotropic madia'
J. Int. Eqns Appl, Vol 21, No 2,
203-227 (2009).
32. (with Houssem Haddar)
"On the existence of transmission
eigenvalues in an inhomogenous
medium" Applicable Analysis 88, no 4, 475-493 (2009).
33. (with Gen Nakamura,
Mourad Sini and Noam Zeev)
'The identification of a partially coated
dielectric medium from far field measurments'
Applicable Analysis, 89 no 1, 29-47 (2010).
34. (with Drossos Gintides)
"New results on transmission
eigenvalues" Inverse Problems and Imaging, 4 no 1, 39-48
(2010).
35. (with David Colton and Houssem
Haddar) 'The
interior transmission problem for
regions with cavities' SIAM J. Math. Analysis 42, no 1,
145-162 (2010).
36. (with Drossos Gintides
and Houssem Haddar)
"The existence of an infinite discrete
set of transmission eigenvalues" SIAM J. Math. Analysis,
42, no 1, 237-255 (2010).
37. (with David
Colton and Houssem Haddar) 'On the determination of Dirichlet
and transmission eigenvalues from far field data' C. R.
Math. Acad. Sci. Paris, Ser. I, 348,
no 7-8, 379-383, (2010).
38. (with David
Colton, Peter Monk and Jiguang
Sun) "The inverse electromagnetic
scattering problem for anisotropic media" Inverse
Problems, 26, No 7, 074004, (2010).
39. (with David Colton
and Peter Monk) 'The determination of
boundary coefficients from far field measurements' J.
Int. Eqns Appl. 42, no 2,
167-191, (2010).
40. (with Andreas
Kirsch) "On the interior transmission
eigenvalue problem" Int. Jour. Comp. Sci. Math. 3, no
1-2, 142-167, (2010).
41. (with Rainer Kress
and Christian Schuft) "Integral
equations for shape and impedance reconstruction in
corrosion detection" Inverse Problems, 26, No 9, paper
095012 (2010).
42. (with Bojan Guzina and Cedric Bellis) "On multi-frequency obstacle
reconstruction via linear sampling method" Inverse
Problems, 26, No 12, 125005, (2010).
43. (with David Colton
and Drossos Gintides)
"The interior transmission
eigenvalue problem" SIAM J. Math. Analysis, 42, no 6,
2912-2921, (2010).
44. (with Rainer Kress and Christian Schuft) "Simultaneous reconstruction
of shape and impedance in corrosion detection" J.
Methods and Applications of Analysis ,
17, no 4, 357-378, (2010).
45. (with Peter Monk)
"The determination of anisotropic
surface impedance in electromagnetic scattering" J.
Methods and Applications of Analysis, 17, no 4, 379-394
(2010).
46. (with Hai-Hua Qin)
"Nonlinear integral equations for
shape reconstruction in the inverse interior scattering
problem" Inverse Problems, 27, No 3, 035005, (2011).
47. (with Fang Zheng
and Jiguang Sun) "An inverse electromagnetic scattering problem
for cavity" Inverse Problems, 27, No 12, 125002, (2011).
48. (with Michele Di
Cristo and Jiguang Sun) "A multistep reciprocity gap functional method
for the inverse problem in a multi-layered medium"
Complex Variables and Elliptic Equations, 57, Nos 2-4,
261-276, (2012).
49. (with David
Colton and Houssem Haddar) "The interior transmission
eigenvalue problem for absorbing media, Inverse
Problems, 28, No 4, 045005, (2012).
50. (with Houssem Haddar), "Transmission
Eigenvalues
in Inverse Scattering Theory", Inside Out II, G. Uhlmann
editor, MSRI Publications, Volume 60,
527-578, (2012).
51. (with Anne Cossonniere and Houssem
Haddar) "Transmission eigenvalues for
inhomogeneous media containing obstacles" Inverse
Problems and Imaging, 6, no 3, 373-398 (2012).
52. (with Cedric Bellis and Bojan Guzina) "Nature
of the transmission eigenvalue spectrum for elstic bodies" IMA J. Appl.
Math., 78 No 5, 895-923, (2013).
53. (with Rainer Kress) "Integral equation methods for the
inverse obstacle problem with generalized impedance boundary
condition" Inverse
Problems, 29, 015005, (2013).
54. (with Cedric
Bellis and Marc Bonnet) "Acoustic
inverse scattering using topological derivative of far-field
measurements-based $L^2$ cost functionals", Inverse
Problems, 29, 075012 (2013).
55. (with Shari Moskow) "Asymptotic
Expansions for Transmission Eigenvalues for Media with Small
Inhomogeneities", Inverse Problems, 29, 104014 (2013).
56. (with Nicolas Chaulet
and Houssem Haddar)
"On the asymptotics
of a Robin eigenvalue problem",
C. R. Math. Acad. Sci. Paris, Ser. I, 351,
517-521, (2013).
57. (with Isaac Harris and Jiguang
Sun) "Transmission eigenvalues and
non-destructive testing of anisotropic magnetic materials
with voids", Inverse Problems, 30, 035016 (2014).
58. (with David
Colton and Shixu Meng) "The inverse scattering problem for a
penetrable cavity with internal measurements", AMS
Contemporary Mathematics, 615, 71-88 (2014).
59. (with Shixu Meng and Houssem
Haddar) "The
factorization method for a cavity in an inhomogeneous medium",
Inverse Problems, 30, 045008 (2014).
60. (with Yuqing Hu
and Jijun Liu) "The
inverse problem for a partially coated cavity with interior
measurements" Applicable Analysis, 93, no 5, 936-956 (2014).
61. (with Peter Monk and Jiguang
Sun) "Error
analysis
of the finite element approximation of transmission
eigenvalues", Computational Methods in Applied
Mathematics, 14, 419-427, (2014).
62. (with Yuqing Hu and Rainer Kress) "Simultaneous reconstruction of shape and
generalized impedance functions in electrostatic imaging",
Inverse Problems, 30, 105010 (2014).
63. (with Isaac
Harris) "The factorization method for
a defective region in an anisotropic material", Inverse
Problems, 31, 025002 (2015).
64. (with Nicolas Chaulet
and Houssem Haddar)
"Asymptotic analysis of the transmission
eigenvalue problem for a Dirichlet obstacle coated by a thin
layer of non-absorbing media",
IMA J. Appl. Math., 80, 1063-1098, (2015).
65. (with Shari Moskow and Scott Rome) "Perturbations of transmission eigenvalues
for inhomogeneous media in the presence of small inclusions"
Inverse Problems and Imaging, 9, no 3, 725-748 (2015).
66. (with Houssem Haddar and Shixu
Meng) ''Boundary integral
equations for the transmission eigenvalue problem for
Maxwell's equations'', J. Int. Eqns
Appl., 27, No 3, 377-406
(2015).
67. (with Houssem Haddar and Isaac Harris) "Homogenization of
the transmission eigenvalue problem for periodic
media and application to the inverse problem" Inverse
Problems and Imaging, 9, No 4, 1025-1049 (2015).
68. (with Bojan Guzina
and Shari Moskow) "On the homogenization of a transmission
problem in scattering theory for highly oscillating media", SIAM J. Math. Analysis, 48, No
4, 2532-2560, (2016).
69. (with David
Colton, Shixu Meng and Peter
Monk) "Stekloff
eigenvalues in inverse scattering", SIAM J.
Appl. Math, 76, No 4, 1737-1763, (2016).
70. (with Irene De
Teresa, Houssem Haddar and Peter Monk), "Nondestructive testing of the
delaminated interface between two materials", SIAM J.
Appl. Math. 76, No 6, 2306-2332 (2016).
71. (with David Colton and Jake Rezac), "The
Born transmission eigenvalue problem",
Inverse Problems 32, paper 105014 (2016).
72. (with Rainer
Kress) "A boundary integral equation
method for the transmission eigenvalue problem",
Applicable Analysis, 96, 23-38 (2017).
73. (with Jake Rezac), "Direct
imaging of small scatteres
using reduced time dependent data", J. Comp. Physics,
338, 371-387 (2017).
74. (with David Colton and Peter Monk), "Qualitative methods in inverse
electromagnetic scattering theory"
IEEE Antennas and Propagation Magazine, 24-33,
October Issue (2017).
75. (with I. Harris
and S. Moskow), "The imaging of
small perturbations in an anisotropic media", Computers and Mathematics with
Applications, 74, 2769-2783 (2017).
76. (with Lorenzo Audiber
and H. Haddar), "New sets of eigenvalues in inverse
scattering for inhomogeneous media and their determination
from scattering data", Inverse
Problems, 33, 125011 (2017).
77. (with O. Ivanyshyn-Yaman,
R. Kress and F. Le Louer), "A boundary integral equations for the
transmission eigenvalue problem for Maxwell's equations", Math. Meth. Appl. Sci. 41, no
4, 1316-1330 (2018).
78. (with V. Kovtunenko), "Topological
optimality condition for the identification of the center of
an inhomogeneity" Inverse Problems, 34, 035009
(2018).
79. (with Irene De
Teresa and Peter Monk), "Nondestructive
testing of delaminated interfaces between two materials
using electromagnetic interrogation" Inverse Problems,
34, 065005 (2018).
80. (with S. Moskow and S. Rome), "Asymptotic expansions of transmission
eigenvalues for small perturbation of media with generally
signed contrast" Inverse Problems and Imaging, 12, no 4,
971-992, (2018).
81. (with H. Haddar
and TP Nguyen), " New interior
transmission problem applied to a single Floquet-Bloch mode imaging of local
perturbations in periodic media" Inverse Problems, 35,
no 1, 015009 (2019).
82. (with S. Chanillo),
"Transmission eigenvalues and the
Riemann zeta function in scattering theory for automorphic froms on Fuchsian groups of type I",
Acta Mathematica Sinica, English Series, Published
online, January (2019).
83. (with H. Haddar and A. Lechleiter), "On the factorization method for a far field
inverse scattering problem in the time domain", SIAM J.
Math. Anal., 51 no2 854-872 (2019).
84. (with M. Bonnet),
"Analysis
of topological derivative as a tool for qualitative
identification" Inverse Problems, 35, no 10, 1044007
(2019).
85. (with L. Borcea and S. Meng), "A direct approach to imaging in a waveguide
with perturbed geometry" J. Comp. Physics, 392, 556-577
(2019).
86. (with B. Guzina,
S. Moskow and T. Pangburn, "Scattering
by a bounded highly oscillating periodic medium and the effect of
boundary correctors" SIAM J. Appl. Math, 79, no 4,
1448-1474 (2019).
87. (with S. Moskow and T. Pangburn)
"Limiting
boundary
correctors for periodic microstructures and inverse homogenenization series" Inverse
Problems, 36, no 6, 065009, (2020).
88. (with D. Colton
and H. Haddar) "A
duality between scattering poles and transmission
eigenvalues in scattering theory", Proceedings A,
476, 20200612 (2020).
89. (with J. Xiao), "On corner scattering for operators of
divergence form and applications to inverse scattering",
Communications in PDEs, 46, no. 3, 413-441 (2021).
90. (with H-M Nguyen)
"On the discreteness of transmission
eigenvalues for the Maxwell equation", SIAM J. Math.
Anal. 53, no 1, 888-913 (2021).
91. (with P-Z Kow and J-N Wang) "The interior transmission eigenvalue
problem for elastic waves in media with obstacles",
Inverse Probl. Imag. 15, no 3, 445-474 (2021).
92. (with P. Monk and
V. Selgas), "Analysis
of the linear sampling method for imaging penetrable
obstacles in the time domain" Analysis & PDEs, 14 no
3, 667-688, (2021).
93. (with Sh. Meng and J. Xiao) "A note on transmission eigenvalues in
electromagnetic scattering theory" Inverse Prob. Imaging
(accepted).
94. (with S. Cogar and P. Monk) "A spectral approach to non-destructive
testing via electromagentic
waves" IEEE, Transactions on Antennas and Propagation
69, no 12, 8689-8697 (2021).
95. (with D. Colton
and H. Haddar) "Transmission Eigenvalues" survey
AMS Notices 68, no 9, 1499-1510 (2021).
96. (with P. Monk and
Y. Zhang) "Target
signatures
for thin surfaces" Inverse Problems, 38, 025011 (2022).
97. (with D. Ambrose and S. Moskow) "A perturbation problem for transmission eigenvalues" Research Math. Sci. 9, no 11 (2022).
98. (with P. Monk,
H. Lee and Y. Zhang) "A spectral target signature for
thin surface" Inverse Problems and Imaging, 16, no
16, 1473-1500, (2022)
99. (with M. Vogelius and J. Xiao) " On
the regularity of non-scattering anisotropic
inhomogeneities", Arch. Ration.
Mech. Anal. 247, no 3, paper 31, (2023) arXiv:2208.13231
100. (with M. Vogelius) "Singularities almost always scatter: Regularity results for non-scattering inhomogeneities", Com. Pure Appl. Math. 76 no 12, 4022-4047 (2023) arXiv:2104.05058
101. (with N.
Hovsepyan and M. Vogelius) "Far field broadband
approximate cloaking for the Helmholtz equation with a
Drude-Lorenz refractive index" J. de Mathematiques
Pures at Appliquees (to appear)
102. (with H. Haddar
and T.P. Nguyen) "Fast imaging of
local perturbations in an unknown bi-periodic layered
medium" J. Comp. Physics (to appear).
103. (with N.
Hovsepyan, M. Lassas and M. Vogelius) "On the lack of external response of a nonlinear
medium in the second-harmonic generation process" Annales de
L'Institute Henri Poincare. Analyse Nonlinear (submitted) arXiv:2401.00998
104. (with H. Haddar and D. Zilberberg "An algorithm for computing scattering poles based on dual characterization to interior eigenvalues" Proceedings A, (submitted).