By Farhad Rachidi, Marcos Rubinstein, Mario Paolone
The goal of this e-book is to familiarize the reader with the concept that of electromagnetic time reversal, and introduce up to date purposes of the idea that present in the components of electromagnetic compatibility and gear platforms. it truly is unique in its method of describing propagation and temporary matters in energy networks and gear line verbal exchange, and is the results of the 3 major editors’ pioneering study within the area.
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5, pp. 465–497, 2003. H. W. Chun, T. R. James, and C. Fu-Kuo, “A synthetic time-reversal imaging method for structural health monitoring,” Smart Materials and Structures, vol. 13, p. 415, 2004. G. Montaldo, D. Palacio, M. Tanter, and M. Fink, “The time reversal kaleidoscope: a new concept of smart transducers for 3D imaging,” in 2003 IEEE Symposium on Ultrasonics, vol. 1, pp. 42–45, 2003. D. Liu, G. Kang, L. Li, Y. Chen, S. Vasudevan, W. , “Electromagnetic time-reversal imaging of a target in a cluttered environment,” IEEE Transactions on Antennas and Propagation, vol.
45) where hi (t) is the system impulse response and ⊗ denotes the convolution product. Now, let us time-reverse the received signals and feed each one of them back to its corresponding antenna Bi . 47) Thus, the signal z(t) received at antenna A has the same phase as the input signal x(t), but is conjugated and its amplitude is modiﬁed by the autocorrelation function. Therefore, it cannot be considered as a perfect replica of the emitted signal. Applications of Time Reversal in Electrical Engineering The ﬁrst experiment using time reversal in electromagnetism was reported by Bogert  in 1957, in which a time-reversal technique was used to compensate delay distortion on a slowspeed picture transmission system.
It is therefore no longer suﬃcient to choose the appropriate initial conditions for the system to evolve into the future by retracing the original trajectory as if time were moving backwards. It is also necessary to change the behavior of the force after t1 so that its functional dependence is m(–t + 2t1 ). In other words, the time-reversal transformation T : t → −t is also applied to the time-dependent terms that do not contain the physical quantity. This change is possible if the evolution of the system is carried out by simulation after t = t1 .