Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification
| dc.creator | Misirpashaev, T. Sh. | |
| dc.creator | Paasschens, J. C. J. | |
| dc.creator | Beenakker, C. W. J. | |
| dc.date | 1996-07-17 | |
| dc.date.accessioned | 2026-07-25T23:36:47Z | |
| dc.description | 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 $ε= ε'+iε''$. Depending on the sign of $ε''$, the medium is absorbing or amplifying. The transmitted intensity decays exponentially $\propto\exp(-L/ξ)$ as the waveguide length $L\to\infty$, regardless of the sign of $ε''$. The localization length $ξ$ is computed as a function of the mean free path $l$, the absorption or amplification length $|σ|^{-1}$, 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 $|σ|\gg1/N^2l$. An approximate interpolation formula for all $σ$ agrees reasonably well with numerical simulations. | |
| dc.description | 13 pages, RevTeX, 1 postscript figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9607118 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9607118 | |
| dc.identifier | Physica A 236, 189-201 (1997) | |
| dc.identifier | doi:10.1016/S0378-4371(96)00387-1 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/99924 | |
| dc.subject | Condensed Matter | |
| dc.title | Localization in a Disordered Multi-Mode Waveguide with Absorption or Amplification | |
| dc.type | text |