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

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,...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2008-01, Vol.69 (3), p.830-844
Main Authors: Antoine, X., Pinçon, B., Ramdani, K., Thierry, B.
Format: Article
Language:English
Subjects:
Acoustics
Analysis of PDEs
Applied mathematics
Approximation
Curl
Decomposition
Eigenfunctions
Eigenvalues
Electromagnetic scattering
Electromagnetism
Far fields
Low frequencies
Magnetic fields
Mathematics
Tensors
Waves
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Summary: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 decomposition of the time reversal operator (DORT) method is given for axially symmetric scatterers.
ISSN:0036-1399
1095-712X
DOI:10.1137/080715779