20 February 2017 Scaling analysis of Anderson localizing optical fibers
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Abstract
Anderson localizing optical fibers (ALOF) enable a novel optical waveguiding mechanism; if a narrow beam is scanned across the input facet of the disordered fiber, the output beam follows the transverse position of the incoming wave. Strong transverse disorder induces several localized modes uniformly spread across the transverse structure of the fiber. Each localized mode acts like a transmission channel which carries a narrow input beam along the fiber without transverse expansion. Here, we investigate scaling of transverse size of the localized modes of ALOF with respect to transverse dimensions of the fiber. Probability density function (PDF) of the mode-area is applied and it is shown that PDF converges to a terminal shape at transverse dimensions considerably smaller than the previous experimental implementations. Our analysis turns the formidable numerical task of ALOF simulations into a much simpler problem, because the convergence of mode-area PDF to a terminal shape indicates that a much smaller disordered fiber, compared to previous numerical and experimental implementations, provides all the statistical information required for the precise analysis of the fiber.
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Behnam Abaie, Arash Mafi, "Scaling analysis of Anderson localizing optical fibers", Proc. SPIE 10112, Photonic and Phononic Properties of Engineered Nanostructures VII, 101121R (20 February 2017); doi: 10.1117/12.2252748; https://doi.org/10.1117/12.2252748
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