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

Xavier Antoine (1, 2) , Bruno Pinçon (1, 2) , Karim Ramdani (1, 2) , Bertrand Thierry (1, 2)

1 IECN - Institut Élie Cartan de Nancy
2 CORIDA - Robust control of infinite dimensional systems and applications

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.

Mots clés: Electromagnetic scattering; time reversal; small scatterers

Domaines: Equations aux dérivées partielles [math.AP]

Xavier Antoine, Bruno Pinçon, Karim Ramdani, Bertrand Thierry. Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. SIAM Journal on Applied Mathematics, 2008, 69 (3), pp.830-844. ⟨10.1137/080715779⟩. ⟨hal-00429157⟩