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- W2019176247 abstract "Statistical properties of light propagation in finite-sized random amplifying layered media are studied by selecting the physical solutions according to a criterion in the framework of the time-independent Maxwell's equation. The criterion is demonstrated to be qualitatively correct. We find that the probability of the physical solution, P, decays exponentially with sample size L. Both P and the statistics of the reflection and the transmission coefficients obey a two-parameter scaling, i.e., $ensuremath{Lambda}ensuremath{equiv}L/{ensuremath{xi}}_{o}$ and $qensuremath{equiv}{ensuremath{xi}}_{o}{/l}_{g},$ where ${ensuremath{xi}}_{o}$ is the localization length in the absence of gain and ${l}_{g}$ is the gain length. It is also found that, in the limit of large L, the localization length remains unchanged in the presence of gain." @default.
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- W2019176247 date "2002-08-01" @default.
- W2019176247 modified "2023-10-13" @default.
- W2019176247 title "Light amplification and localization in random amplifying layered media: Statistics from physical solutions" @default.
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- W2019176247 doi "https://doi.org/10.1103/physrevb.66.073101" @default.
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