Abstract
The statistics of the reflection spectrum of a short-correlated disordered fiber Bragg grating are studied. The averaged spectrum appears to be flat inside the bandgap and has significantly suppressed sidelobes compared to the uniform grating of the same bandwidth. This is due to the Anderson localization of the modes of a disordered grating. This observation prompts a new algorithm for designing passband reflection gratings. Using the stochastic invariant imbedding approach it is possible to obtain the probability distribution function for the random reflection coefficient inside the bandgap and obtain both the variance of the averaged reflectivity as well as the distribution of the time delay of the grating.
| Original language | English |
|---|---|
| Pages (from-to) | 2404-2406 |
| Number of pages | 3 |
| Journal | Optics Letters |
| Volume | 33 |
| Issue number | 20 |
| DOIs | |
| Publication status | Published - 15 Oct 2008 |
Bibliographical note
This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=ol-33-20-2404. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.Keywords
- reflection spectrum of a short-correlated disordered fiber Bragg grating
- Anderson localization
- stochastic invariant imbedding approach
- random reflection coefficient