Localization of Light: Dual Symmetry between Absorption and Amplification

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We study the propagation of radiation through a disordered waveguide with a complex dielectric constant $ε$, and show that dual systems, which differ only in the sign of the imaginary part of $ε$, have the same localization length. Paradoxically, absorption and stimulated emission of radiation suppress the transmittance of the waveguide in the same way.
Added a reference to the paper by Z.Q. Zhang, Phys.Rev.B. 52, 7960 (1995)

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