Numerical calculations of spatially localized wave emission from a nonlinear waveguide: two-level saturable media

We investigate parameter trade-offs in spatially localized wave emission from a nonlinear waveguide in which the cladding is modeled as a saturable two-level medium. This model is the simplest example of a resonant medium that displays both saturable refractive index and absorption. Numerical results are presented that show the features of the wave emission, and an approximate scaling law is obtained that greatly reduces the parameter space.