A numerical study of time-reversed UWB electromagnetic waves in continuous random media

We investigate superresolution effects on ultrawideband (UWB) electromagnetic waves (EM) produced by time-reversal (TR) arrays in continuous random media. The investigation is done via numerical simulations employing the finite-difference time-domain (FDTD) method. A Gaussian random background medium is considered. We compare the effect of statistical parameters, viz. variance, and correlation length, on the focusing resolution of transmitted waves by the TR array (TRA). The effect of depolarization is also briefly considered.

[1]  William S. Hodgkiss,et al.  An initial demonstration of underwater acoustic communication using time reversal , 2002 .

[2]  Jin Au Kong,et al.  Finite-difference time-domain simulation of scattering from objects in continuous random media , 2002, IEEE Trans. Geosci. Remote. Sens..

[3]  George Papanicolaou,et al.  Statistical Stability in Time Reversal , 2004, SIAM J. Appl. Math..

[4]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[5]  Weng Cho Chew,et al.  A general approach to extend Berenger's absorbing boundary condition to anisotropic and dispersive media , 1998 .

[6]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[7]  G. Papanicolaou,et al.  Predicted Time Reversal Performance in Wireless Communications Using Channel Measurements , 2022 .

[8]  D.H. Chambers,et al.  Analysis of the time-reversal operator for a small spherical scatterer in an electromagnetic field , 2004, IEEE Transactions on Antennas and Propagation.

[9]  Weng Cho Chew,et al.  A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates , 1994 .

[10]  George Papanicolaou,et al.  Time reversal through a solid–liquid interface and super‐resolution , 2001 .

[11]  M. Fink Time reversed acoustics , 2001 .

[12]  M. Fink,et al.  Taking advantage of multiple scattering to communicate with time-reversal antennas. , 2003, Physical review letters.

[13]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .