Stability and formation of localized surface waves at the dielectric—photorefractive crystal boundary

We consider specific features of the formation of localized surface waves at the interface between linear dielectric and photorefractive crystals with a nonlocal diffusion component of nonlinear response. Profiles of the surface waves are numerically found and guiding properties of the surface are investigated. Stability of the obtained surface waves is considered and it is shown that the well-known Vakhitov-Kolokolov stability criterion derived for the local Kerr or saturable material remains legible for the medium with a nonlocal diffusion component of nonlinear response.