Far Field Modeling of Electromagnetic Time Reversal and Application to Selective Focusing on Small Scatterers | Zendy

Xavier Antoine | Zendy; Bruno Pinçon | Zendy; Karim Ramdani | Zendy; Bertrand Thierry | Zendy

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Far Field Modeling of Electromagnetic Time Reversal and Application to Selective Focusing on Small Scatterers

Author(s) -

Xavier Antoine,

Bruno Pinçon,

Karim Ramdani,

Bertrand Thierry

Publication year - 2008

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/080715779

Subject(s) - operator (biology) , limit (mathematics) , electromagnetic field , physics , harmonic , field (mathematics) , axial symmetry , mathematical analysis , near and far field , mathematics , optics , acoustics , quantum mechanics , pure mathematics , biochemistry , chemistry , repressor , transcription factor , gene

International audienceA 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

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