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, a mathematical justification of the decomposition of the time reversal operator (DORT) method is given for axially symmetric scatterers.

SIAM Journal on Applied Mathematics
Xavier Antoine
Bruno Pinçon
Maître de Conférences
Karim Ramdani
Research Director
Bertrand Thierry
Bertrand Thierry

Permanent researcher at CNRS, working in numerical simulation for wave propagation.