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

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 disorde...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Abaie, Behnam, Mafi, Arash
Format: Article
Language:English
Subjects:
Anderson localization
Localization
Optical fibers
Probability density functions
Statistical analysis
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1710.07389