Time-domain DORT method for ultrawideband electromagnetic fields under dispersive and conductive random media

Time-domain via a time-reversal operator decomposition (TD-DORT) method has been extended to impenetrable scatterers in dispersive and conductive random media. Effects of dispersion and losses on the TRO have been considered. It has been observed that although dispersion and/or losses result in decrease on the TRO eigenvalues, localization information can still be extracted from the phase information. Using phase information along with the attenuation compensation results in a focusing performance closer to that achieved in a nondispersive and lossless case. For cases where background medium is both inhomogeneous and dispersive (and/or lossy) and only statistical information available, it is not possible to exactly compensate for the dispersive and/or loss effects. However, a satisfactory approximate compensation can be achieved for low fluctuations (under Born approximation) and losses by using ensemble averages