Study of transmission and reflection from a disordered lasing medium

Abstract

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.

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

References in corpus (3)

• Probability of Reflection by a Random Laser
• Statistical Properties of the Reflectance and Transmittance of an Amplifying Random Media
• Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification

Cited by in corpus (10)

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• Minimum reflection channel in amplifying random media
• A Model for Quantum Stochastic Absorption in Absorbing Disordered Media
• Localization in a random phase-conjugating medium
• Theory of light diffusion through amplifying photonic lattice