Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals

New two types of transverse interface waves propagating along the planar contact the photorefractive and hyperbolic graded-index crystals are described theoretically. The waves are given by exact analytical solutions to the stationary wave equations with spatial dependent coefficients. The waves of the two types differ from each other by the presence of oscillations of the decaying field profile in the photorefractive crystal and the range of existence. Influence on the wave profiles of the system parameters such as the effective refractive index, temperature, and the hyperbolic profile parameters (the interface refractive index, and the characteristic distance) are analyzed in details. New features of the distribution of the maxima and minima of the field profile and the depth of its penetration into crystals depending on the values of these parameters are specified.