Fioralba Cakoni  Google Scholar

  

 

Books


  1. (with David Colton) "Qualitative Methods in Inverse Scattering Theory'', Springer,  Series on Interaction of Mathematics and Mechanics (2006). 
  2. (with David Colton and Peter Monk) "The linear Sampling Method in Inverse Electromagnetic Scattering", CBMS Series, SIAM Publications 80, (2011).
  3. (with David Colton) " A Qualitative Approach to Inverse Scattering Theory'', Applied Mathematical Sciences, Vol 188,  Springer, (2014).
  4. (with David Colton and Houssem Haddar) "Inverse Scattering Theory and Transmission Eigenvalues'', CBMS Series, SIAM Publications 88, (2016).
  5. (with David Colton and Houssem Haddar) "Inverse Scattering Theory and Transmission Eigenvalues'', CBMS Series, SIAM Publications, 2nd Edition 98, (2023).

Editor

  1. F. Cakoni, H. Haddar - Guest Editors of the Special Issue of Inverse Problems on Transmission Eigenvalues
  2.   F. Cakoni, H. Haddar, A. Kirsch - Guest Editors of the Special Issue of Inverse Problems in Memory of Professor Armin Lechleiter, 1982-2018.
  3. 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.



Refereed Research Papers    Web of Sciences        MathSciNet

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, 182, (9) 285-318, (2024).

102. (with H. Haddar and T.P. Nguyen) "Fast imaging of local perturbations in an unknown bi-periodic layered medium" J. Comp. Physics, 501, paper no 112773 (2024).

103. (with H. Haddar and D. Zilberberg "An algorithm for computing scattering poles based on dual characterization to interior eigenvalues" Proceedings A, 480, 20240015 (2024).

104. (with C-L Sung, W. Wang, I. Harris, Y. Hing) "Functional-input Gaussian processes with applications to inverse scattering pproblems",  Statistica Sinica, 34 (4), ss. 202022.0180 (2024).

105. (with N. Hovsepyan, M. Lassas and M. Vogelius) "On the lack of external response of a nonlinear medium in the second-harmonic generation process" (submitted) arXiv:2401.00998

Cakoni-CV-2022

Artistic files