Physics – Condensed Matter
Scientific paper
1996-07-17
Physica A 236, 189-201 (1997)
Physics
Condensed Matter
13 pages, RevTeX, 1 postscript figure
Scientific paper
10.1016/S0378-4371(96)00387-1
An analytical and numerical study is presented of transmission of radiation through a multi-mode waveguide containing a random medium with a complex dielectric constant $\epsilon= \epsilon'+i\epsilon''$. Depending on the sign of $\epsilon''$, the medium is absorbing or amplifying. The transmitted intensity decays exponentially $\propto\exp(-L/\xi)$ as the waveguide length $L\to\infty$, regardless of the sign of $\epsilon''$. The localization length $\xi$ is computed as a function of the mean free path $l$, the absorption or amplification length $|\sigma|^{-1}$, and the number of modes in the waveguide $N$. The method used is an extension of the Fokker-Planck approach of Dorokhov, Mello, Pereyra, and Kumar to non-unitary scattering matrices. Asymptotically exact results are obtained for $N\gg1$ and $|\sigma|\gg1/N^2l$. An approximate interpolation formula for all $\sigma$ agrees reasonably well with numerical simulations.
Beenakker C. W. J.
Misirpashaev Sh. T.
Paasschens J. C. J.
No associations
LandOfFree
Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-395366