Abstract
Statistical properties of the transmittance (Formula presented) and reflectance (Formula presented) of an amplifying layer with one-dimensional disorder are investigated analytically within the random phase approximation. Whereas the transmittance at typical realizations decreases exponentially with the layer thickness (Formula presented) just as it does in absorbing media, the average (Formula presented) and (Formula presented) are shown to be infinite even for finite (Formula presented) due to the contribution of low-probability resonant realizations corresponding to the non-Gaussian tail of the distribution of (Formula presented) This tail differs drastically from that in the case of absorption. The physical meaning of typical and resonant realizations is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 5974-5977 |
| Number of pages | 4 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 56 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1997 |