Abstract: We address the impact of the asymmetric nonlocal diffusion nonlinearity of gap solitons supported by photorefractive crystals with an imprinted optical lattice. We reveal how the asymmetric nonlocal response alters the domains of existence and the stability of solitons originating from different gaps. We find that in such media gap solitons cease to exist above a threshold of the nonlocality degree. We discuss how the interplay between nonlocality and lattice strength modifies the gap soliton mobility.

Keywords: Fiber optics and optical communications: Buffers, couplers, routers, switches, and multiplexers; Nonlinear optics, devices; Pulse propagation and temporal solitons.

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