Supersymmetric Analysis of Stochastic Micro-Bending in Optical Waveguides

TL;DR

This paper applies supersymmetric quantum mechanics techniques to analyze and manipulate micro-bending attenuation in optical waveguides modeled by Fokker-Planck equations, revealing how index profile transformations affect attenuation.

Contribution

It introduces a supersymmetric framework to transform refractive index profiles, enabling control over micro-bending attenuation in optical waveguides.

Findings

Supersymmetric transformations correspond to index profile modifications.

Larger attenuation profiles can always be generated via SUSY transformations.

Reducing attenuation is limited to specific index profiles.

Abstract

Micro-bending attenuation in an optical waveguide can be modeled by a Fokker-Planck equation. It is shown that a supersymmetric transformation applied to the Fokker-Planck equation is equivalent to a change in the refractive index profile, resulting in a larger or smaller attenuation. For a broad class of monomial index profiles, it is always possible to obtain an index profile with a larger micro-bending attenuation using a supersymmetric transformation. However, obtaining a smaller attenuation is not always possible and is restricted to a subset of index profiles.