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The coupling between forward propagating wave and backward propagating wave of photorefractive surface waves (PR SWs) along the surface of photorefractive crystals (PRC) with periodic corrugations is studied for the first time. The influences of depth and period number of periodical corrugation structures on the coupling between the forward propagating PR SW and backward propagating PR SW are discussed. Especially the influence of nonlinearity on the coupling is studied for the first time. The reflectivity and transmissivity of PR SWs are calculated numerically using coupled-mode theory. The results are significant for the design of integrated optical device utilizing photorefractive surface waves.