Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption

@article{Fyodorov2005ScatteringRA,
  title={Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption},
  author={Yan V. Fyodorov and Dmitry V. Savin and H. J. Sommers},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={10731-10760}
}
We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric σ-model, we are able to derive closed-form analytic expressions for the distribution of reflection probability in a generic disordered system. One of the most important properties resulting from such an analysis is statistical independence between the phase and the… 
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