Unusual transmission properties of wave in one-dimensional random system containing left-handed-material

Propagation properties of electromagnetic waves in a one-dimension random system containing left-handed-material are studied by the transfer matrix method. The statistics of the Lyapunov exponent and its variance of the transmitted waves are also analyzed. The nonlocalized modes are not only found in such a disordered system, the Anderson localization states with short localization length can also be easily realized due to the existence of low frequency resonant gap. Furthermore, our results also show that a single-parameter scaling is generally inadequate even for the complete random system with negative-n materials when the frequency we consider is located in a gap.