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Theory of Electromagnetic Time-Reversal Mirrors

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3 Author(s)
de Rosny, J. ; Inst. Langevin, ESPCI ParisTech, Paris, France ; Lerosey, G. ; Fink, M.

The theory of monochromatic time-reversal mirrors (TRM) or equivalently phase conjugate mirrors is developed for electromagnetic waves. We start from the fundamental time-symmetry of the Maxwell's equations. From this symmetry, a differential expression similar to the Lorentz reciprocity theorem is deduced. The radiating conditions on TRM are expressed in terms of 6-dimension Green's functions. To predict the time reversal focusing on antenna arrays, a formalism that involves impedance matrix is developed. We show that antenna coupling can dramatically modify the focal spot. Especially, we observe, that in some circumstances, sub-wavelength focusing on a bi-dimensional array may arise.

Published in:

Antennas and Propagation, IEEE Transactions on  (Volume:58 ,  Issue: 10 )

Date of Publication:

Oct. 2010

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