Coherent random lasing behavior in low-dimensional active weakly scattering random systems

We report theoretical studies of the coherent random lasing behavior in active weakly scattering random fiber lasers by using finite-difference time-domain (FDTD) method. We design and simulate a model of active weakly scattering random fiber lasers. Results show that the scattering mean free path reduces significantly with reducing the dimension of systems. For same situation, the scattering mean free path in our model is at least two orders of magnitude lower than that in high dimensional systems. We calculate the length of lasing oscillation cavity by using power Fourier transform, and we found Lc<