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arXiv · 1710.07389

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

Behnam Abaie·Arash Mafi
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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.

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Behnam Abaie, Arash Mafi. 2017-10-20. Statistics of mode area for transverse Anderson localization in disordered optical fibers. https://doi.org/10.1364/ol.43.003834

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