Wavelength multistability in ring and fabry-Pérot lasers: The effect of spatial hole burning

In this contribution, we investigate theoretically the multistability by means of a travelling wave model (TWM) for a homogeneously broadened medium with the appropriate boundary conditions, that allow us to model RLs and FP lasers. We take into account that the presence of counter-propagating fields creates a spatial modulation or grating of the population inversion (D₂). We compute the monochromatic steady state solutions of the system via a shooting method and we numerically perform their linear stability analysis by diagonalising the jacobian obtained from the evolution operator of the discretized system.