Numerical simulation and software implementation of erbium-doped fiber source

Based on the energy level of erbium ions in the glass matrix, we analyzed the work mechanism of erbium-doped fiber super-fluorescent light source. The physical model of light source was set up, which was described by propagation equations of pump light and signal light along the erbium-fiber. By dividing the fluorescence spectra into 10 wavelengths, the issue was solving the boundary value problem of 21-dimensional ordinary differential equations. We translated the boundary value problems into an initial value problem using shooting method. The equations were solved using Runge-Kutta method. We wrote a program to implement the algorithms using Visual C++. The numerical simulation and software can provide directions for researching on erbium-doped fiber amplifiers and lasers.