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hal-00429157, version 1

Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers

Xavier Antoine (, http://www.iecn.u-nancy.fr/~xantoine/Xavier_ANTOINE_Website/Home.html) 12, Bruno Pinçon (, http://www.iecn.u-nancy.fr/~pincon/) 12, Karim Ramdani (Author to contact preferably, http://www.iecn.u-nancy.fr/~ramdani/KR/Bienvenue.html) 12, Bertrand Thierry (, http://doctorants.iecn.u-nancy.fr/Thierry-Bertrand.html) 12

SIAM Journal on Applied Mathematics 69, 3 (2008) 830-844

Abstract: A time harmonic far field model for closed electromagnetic time reversal mirrors is proposed. Then, a limit model corresponding to small perfectly conducting scatterers is derived. This asymptotic model is used to prove the selective focusing properties of the time reversal operator. In particular, a mathematical justification of the DORT method (Decomposition of the Time Reversal Operator method) is given for axially symmetric scatterers.

  • 1:  Institut Elie Cartan Nancy (IECN)
  • CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • 2:  CORIDA (INRIA Nancy - Grand Est / IECN / LMAM)
  • INRIA – CNRS : UMR7502 – Université de Lorraine
  • Domain : Mathematics/Analysis of PDEs
  • Keywords : Electromagnetic scattering – time reversal – small scatterers
 
  • hal-00429157, version 1
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  • Submitted on: Sunday, 24 February 2013 16:55:03
  • Updated on: Thursday, 14 March 2013 16:33:05