Fast electromagnetic imaging of thin inclusions in half-space affected by random scatterers

References

• Park , W-K and Lesselier , D . 2009 . Electromagnetic MUSIC-type imaging of perfectly conducting, arc-like cracks at single frequency . J. Comput. Phys. , 228 : 8093 – 8111 .
   Google Scholar
• Park , W-K and Lesselier , D . 2009 . MUSIC-type imaging of a thin penetrable inclusion from its far-field multi-static response matrix . Inverse Problems , 25 075002
   Google Scholar
• Ammari , H , Iakovleva , E and Lesselier , D . 2005 . A MUSIC algorithm for locating small inclusions buried in a half space from the scattering amplitude at a fixed frequency . SIAM Multiscale Model. Simul. , 3 : 597 – 628 .
   Google Scholar
• Park , W-K . 2010 . On the imaging of thin dielectric inclusions buried within a half space . Inverse Problems , 26 074008
   Google Scholar
• H. Ammari, J. Garnier, H. Kang, W.-K. Park, and K. Sølna, Imaging schemes for perfectly conducting cracks, SIAM J. Appl. Math. 71 (2011), pp. 68–91.
   Google Scholar
• H. Ammari, J. Garnier, and K. Sølna, A statistical approach to optimal target detection and localization in the presence of noise, to appear in Waves Random Complex Media.
   Google Scholar
• Fannjiang , AC and Yan , P . 2007 . Multi-frequency imaging of multiple targets in Rician fading channels: Stability and resolution . Inverse Problems , 23 : 1801 – 1819 .
   Google Scholar
• Berryman , J , Borcea , L , Papanicolaou , G and Tsogka , C . 2002 . Statistically stable ultrasonic imaging in random media . J. Acoust. Soc. Am. , 112 : 1509 – 1522 .
   Google Scholar
• Borcea , L , Papanicolaou , G , Tsogka , C and Berryman , J . 2002 . Imaging and time reversal in random media . Inverse Problems , 18 : 1247 – 1279 .
   Google Scholar
• Ammari , H and Kang , H . 2004 . “ Reconstruction of Small Inhomogeneities from Boundary Measurements ” . In Lecture Notes in Mathematics , Vol. 1846 , Berlin : Springer-Verlag .
   Google Scholar
• Beretta , E and Francini , E . 2000 . Asymptotic formulas for perturbations of the electromagnetic fields in the presence of thin imperfections . Contemp. Math. , 333 : 49 – 63 .
   Google Scholar
• Capdeboscq , Y and Vogelius , M . 2008 . Imagerie électromagnétique de petites inhomogénéités . ESAIM: Proc. , 22 : 40 – 51 .
   Google Scholar
• Ammari , H and Kang , H . 2007 . “ Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory ” . In Applied Mathematical Sciences Series , Vol. 162 , New York : Springer-Verlag .
   Google Scholar
• Ammari , H , Bonnetier , E and Capdeboscq , Y . 2009 . Enhanced resolution in structured media . SIAM J. Appl. Math. , 70 : 1428 – 1452 .
   Google Scholar
• Ammari , H , Kang , H , Lee , H and Park , W-K . 2010 . Asymptotic imaging of perfectly conducting cracks . SIAM J. Sci. Comput. , 32 : 894 – 922 .
   Google Scholar
• Hou , S , Huang , K , Sølna , K and Zhao , HA . 2009 . phase and space coherent direct imaging method . J. Acoust. Soc. Am. , 125 : 227 – 238 .
   Google Scholar
• Ammari , H , Beretta , E and Francini , E . 2004 . Reconstruction of thin conductivity imperfections . Appl. Anal. , 83 : 63 – 78 .
   Google Scholar
• Ammari , H , Beretta , E and Francini , E . 2006 . Reconstruction of thin conductivity imperfections. II. The case of multiple segments . Appl. Anal. , 85 : 87 – 105 .
   Google Scholar
• Lee , H and Park , W-K . 2009 . Location search algorithm of thin conductivity inclusions via boundary measurements . ESAIM: Proc. , 26 : 217 – 229 .
   Google Scholar
• Nazarchuk , Z and Kobayashi , K . 2005 . Mathematical modelling of electromagnetic scattering from a thin penetrable target . Prog. Electromagn Res. , 55 : 95 – 116 .
   Google Scholar
• Devaney , AJ , Marengo , EA and Gruber , FK . 2005 . Time-reversal-based imaging and inverse scattering of multiply scattering point targets . J. Acoust. Soc. Am. , 118 : 3129 – 3138 .
   Google Scholar
• Tsang , L , Kong , JA , Ding , K-H and Ao , CO . 2001 . Scattering of Electromagnetic Waves: Numerical Simulations , New York : John Wiley .
   Google Scholar
• Álvarez , D , Dorn , O , Irishina , N and Moscoso , M . 2009 . Crack reconstruction using a level-set strategy . J. Comput. Phys. , 228 : 5710 – 5721 .
   Google Scholar
• Dorn , O and Lesselier , D . 2006 . Level set methods for inverse scattering . Inverse Problems , 22 : R67 – R131 .
   Google Scholar
• Park , W-K and Lesselier , D . 2009 . Reconstruction of thin electromagnetic inclusions by a level set method . Inverse Problems , 25 085010
   Google Scholar
• Delbary , F , Erhard , K , Kress , R , Potthast , R and Schulz , J . 2008 . Inverse electromagnetic scattering in a two-layered medium with an application to mine detection . Inverse Problems , 24 015002
   Google Scholar
• Ammari , H , Iakovleva , E , Lesselier , D and Perrusson , G . 2007 . MUSIC type electromagnetic imaging of a collection of small three-dimensional inclusions . SIAM J. Sci. Comput. , 29 : 674 – 709 .
   Google Scholar
• Cheney , M and Issacson , D . 1995 . Inverse problems for a perturbed dissipative half space . Inverse Problems , 11 : 865 – 888 .
   Google Scholar
• Gdoura , S , Lesselier , D , Chaumet , PC and Perrusson , G . 2009 . Imaging of a small dielectric sphere buried in a half space . ESAIM: Proc. , 26 : 123 – 134 .
   Google Scholar
• Iakovleva , E , Gdoura , S , Lesselier , D and Perrusson , G . 2007 . Multi-static response matrix of a 3-D inclusion in half space and MUSIC imaging . IEEE Trans. Antennas Propagat. , 55 : 2598 – 2609 .
   Google Scholar