Light Transport in Random Media with PT{\cal PT}-Symmetry

preprint2012arXivOpen access

Abstract

The scattering properties of randomly layered optical media with PT{\cal PT}-symmetric index of refraction are studied using the transfer-matrix method. We find that the transmitance decays exponentially as a function of the system size, with an enhanced rate ξγ(W)−1=ξ0(W)−1+ξγ(0)−1ξ_γ(W)^{-1}=ξ_0(W)^{-1}+ξ_γ (0)^{-1}, where ξ0(W)ξ_0(W) is the localization length of the equivalent passive random medium and ξγ(0)ξ_γ(0) is the attenuation/amplification length of the corresponding perfect system with a PT{\cal PT}-symmetric refraction index profile. While transmitance processes are reciprocal to left and right incident waves, the reflectance is enhanced from one side and is inversely suppressed from the other, thus allowing such PT{\cal PT}-symmetric random media to act as unidirectional coherent absorbers.

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