Numerical solver for supercontinuum generation in multimode optical fibers

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).
• 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.