English

Statistics of mode area for transverse Anderson localization in disordered optical fibers

Optics 2018-08-15 v1

Abstract

We introduce the mode area probability density function (MA-PDF) as a powerful tool to study transverse Anderson localization (TAL), especially for highly disordered optical fibers. The MA-PDF encompasses all the relevant statistical information on TAL; it relies solely on the physics of the disordered system and is independent of the shape of the external excitation. We explore the scaling of MA-PDF with the transverse dimensions of the system and show that it converges to a terminal form for structures considerably smaller than those used in experiments, hence substantially reducing the computational cost to study TAL.

Keywords

Cite

@article{arxiv.1710.07389,
  title  = {Statistics of mode area for transverse Anderson localization in disordered optical fibers},
  author = {Behnam Abaie and Arash Mafi},
  journal= {arXiv preprint arXiv:1710.07389},
  year   = {2018}
}