Study of transmission and reflection from a disordered lasing medium

Details Study of transmission and reflection from a disordered lasing medium Study of transmission and reflection from a disordered lasing medium

1997-06-27

arxiv.org/abs/cond-mat/9706278v2

Phys. Rev. B, 56 (1997) 12038

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages RevTex (twocolumn format), 5 EPS figures, considerably modified

Scientific paper

10.1103/PhysRevB.56.12038

A numerical study of the statistics of transmission ($t$) and reflection ($r$) of quasi-particles from a one-dimensional disordered lasing or amplifying medium is presented. The amplification is introduced via a uniform imaginary part in the site energies in the disordered segment of the single-band tight binding model. It is shown that $t$ is a non-self-averaging quantity. The cross-over length scale above which the amplification suppresses the transmittance is studied as a function of amplification strength. A new cross-over length scale is introduced in the regime of strong disorder and weak amplification. The stationary distribution of the backscattered reflection coefficient is shown to differ qualitatively from the earlier analytical results obtained within the random phase approximation.

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