Localization in a random phase-conjugating medium

Details Localization in a random phase-conjugating medium Localization in a random phase-conjugating medium

2000-07-26

arxiv.org/abs/cond-mat/0007426v1

Phys. Rev. A {\bf 62}, 041804(R) (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.62.041804

We theoretically study reflection and transmission of light in a one-dimensional disordered phase-conjugating medium. Using an invariant imbedding approach a Fokker-Planck equation for the distribution of the probe light reflectance and expressions for the average probabilities of reflection and transmission are derived. A new crossover length scale for localization of light is found, which depends on the competition between phase conjugation and disorder. For weak disorder, our analytical results are in good agreement with numerical simulations.

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