Simulation of rare-earth-doped high-power fiber-lasers using Matlab BVP solver

Stéphane Balac (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Numerical simulation of light-wave propagation in double-clad rare-earth-doped fiber-lasers implies dealing with a two-point boundary value problem (BVP) with non separated boundary conditions. We show that this BVP can be solved in a simple way using Matlab BVP solver. However, this requires being able to provide to the BVP solver a relevant initial guess for the solution and the Jacobian matrix of the mapping defining the BVP. We show that when propagation losses and contribution to spontaneous emission are neglected, the BVP is equivalent to an initial value problem (IVP) whose solution, computed by Matlab IVP solver, provides a suitable guess for Matlab BVP solver. We also provide the expression of the Jacobian. This results in a very simple and cost-less Matlab program for the simulation of light-wave propagation in high-power fiber-lasers.

Mots clés: optics; optical fiber-lasers; rare-earth-doped fiber; boundary value problem; collocation method

Domaines: Analyse numérique [math.NA]; Optique / photonique

Stéphane Balac. Simulation of rare-earth-doped high-power fiber-lasers using Matlab BVP solver. 2022. ⟨hal-03601902⟩