Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-12-19
Physics
Condensed Matter
Disordered Systems and Neural Networks
33 pages RevTex, 14 EPS figures included, Accepted for publication in IJMP-B
Scientific paper
10.1142/S0217979298000843
We report a detailed and systematic numerical study of wave propagation through a coherently amplifying random one-dimensional medium. The coherent amplification is modeled by introducing a uniform imaginary part in the site energies of the disordered single-band tight binding Hamiltonian. Several distinct length scales (regimes), most of them new, are identified from the behavior of transmittance and reflectance as a function of the material parameters. We show that the transmittance is a non-self-averaging quantity with a well defined mean value. The stationary distribution of the super reflection differs qualitatively from the analytical results obtained within the random phase approximation in strong disorder and amplification regime. The study of the stationary distribution of the phase of the reflected wave reveals the reason for this discrepancy. The applicability of random phase approximation is discussed. We emphasize the dual role played by the lasing medium, as an amplifier as well as a reflector.
Jayannavar Arun M.
Joshi Sandeep K.
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