Reconstruction of dielectric constants of multi-layered optical fibers using propagation constants measurements

TL;DR

This paper introduces a numerical method to reconstruct the variable dielectric constants of multi-layered optical fibers from propagation constant measurements, demonstrating stable results even with noisy data.

Contribution

The paper presents a novel numerical approach for reconstructing dielectric permittivity in multi-layered optical fibers using eigenwave propagation constants.

Findings

Stable reconstruction of dielectric permittivity with noisy data

Effective numerical method for multi-layered fiber analysis

Applicable to weakly guiding optical fibers

Abstract

We present new method for the numerical reconstruction of the variable refractive index of multi-layered circular weakly guiding dielectric waveguides using the measurements of the propagation constants of their eigenwaves. Our numerical examples show stable reconstruction of the dielectric permittivity function $\varepsilon$ for random noise level using these measurements.