Nonlinear sigma model for optical media with linear absorption or gain
arXiv:1204.2608 · doi:10.1103/PhysRevA.85.043838
Abstract
In the framework of the Keldysh technique, we formulate the nonlinear sigma model for disordered optical media with linear absorption or gain. The effective action for fluctuations of the matrix field about the saddle point acquires an extra term due to the nonconservative nature of the system. We determine the disorder-averaged Green-function correlator, which has a diffusion pole modified by a finite absorption/gain rate. The diffusion coefficient is found to be close to its value for conservative systems in the relevant range of parameters. In the medium with gain, the random-lasing threshold depends on the sample size.
arXiv comment9 pages
References in corpus (12)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Dynamics of Anderson localization in open 3D media
- Localization of Light: Dual Symmetry between Absorption and Amplification
- Recent developments in the theory of multimode random lasers
- Dynamics of weakly localized waves
- Theory of light diffusion in disordered media with linear absorption or gain
- Theory of strong localization effects of light in disordered loss or gain media
- Supersymmetric field theory of local light diffusion in semi-infinite media
- Single parameter scaling in 1-D localized absorbing systems
- Light Transport and Localization in Diffusive Random Lasers