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Updated: May 10, 2026

In-situ Tapering of Chalcogenide Fiber for Mid-infrared Supercontinuum Generation

In-situ Tapering of Chalcogenide Fiber for Mid-infrared Supercontinuum Generation

Published on: May 27, 2013

Numerical solver for supercontinuum generation in multimode optical fibers.

Roman Khakimov¹, Igor Shavrin, Steffen Novotny

¹Department of Applied Physics, Aalto University, P.O.B. 13500, FI-00076 Aalto, Finland.

|June 22, 2013

Summary

This study introduces a new numerical method for solving the multimode generalized nonlinear Schrödinger equation (MM-GNLSE). This approach simplifies modeling pulse propagation in optical fibers, enabling easier analysis of nonlinear dynamics.

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Area of Science:

Optical Physics
Computational Physics
Nonlinear Optics

Background:

The generalized nonlinear Schrödinger equation (GNLSE) is crucial for modeling light propagation in optical fibers.
Solving the multimode version (MM-GNLSE) presents significant computational challenges.
Accurate numerical methods are essential for understanding complex nonlinear phenomena in multimode fibers.

Purpose of the Study:

To develop an efficient and accessible numerical approach for solving the MM-GNLSE.
To simplify the process of modeling pulse propagation in multimode optical fibers.
To analyze the nonlinear dynamics of spectral polarization in simple multimode systems.

Main Methods:

Transforming the MM-GNLSE into a system of first-order ordinary differential equations (ODEs).

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Utilizing standard, readily available ODE solvers for numerical computation.

Verifying the solver using a simplified case of two orthogonal polarization states in a non-birefringent fiber.

Main Results:

A novel numerical method for solving the MM-GNLSE is successfully presented.
The transformation to ODEs allows for easier and more accessible modeling.
The method is validated for a basic two-polarization state scenario.
Nonlinear dynamics of spectral polarization degree and state were analyzed.

Conclusions:

The proposed method offers a practical solution for simulating pulse propagation in multimode fibers.
This approach enhances the accessibility of complex nonlinear optical simulations.
The findings provide a foundation for further studies into advanced multimode fiber dynamics.