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