In terms of the particle oscillator model and numerical techniques, the influences of guiding parameters and propagation constants on surface wave types and localized surface modes at the interface between the photorefractive crystal and the linear dielectric medium are studied. When the guiding parameter is greater than the propagation constant, delocalized surface waves can occur at the interface between photorefractive crystal and linear dielectric medium. When the guiding parameter is less than the propagation constant, shock surface waves and localized surface waves can occur at the interface between photorefractive crystal and linear dielectric medium. In localized surface wave systems, the wave energy in the photorefractive crystal for the positive guiding parameter is more collective than the one for the negative guiding parameter. For a given physical system of the localized surface wave, the higher the propagation constant, the faster the surface wave attenuation in the linear dielectric medium and the photorefractive crystal, and the closer the crest factor of corresponding surface mode toward the boundary.