Figure 2. Statistically steady-state solutions of the local wave kinetic equation.
The spectra are numerically calculated from the local wave kinetic equation (3) in a particular case of a random fibre laser as an example Supplementary Equation 43. (a) Wave spectrum depending on gain/dispersion ratio λ=2g/βΔ2, where Δ is the optical spectrum width. (b) Wave spectrum slope θ at different gain/dispersion parameter λ. The slope is defined from the approximation of the wave spectrum wing by exponential function, exp(−θx). Dotted line shows the wave spectrum slope in the case of hyperbolic secant shape wave spectrum.