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We address (2+1)D surface solitons occurring at the interface between alinear medium and a nonlocal nonlinear medium whose nonlinear contribution tothe refractive index has a initial value at the interface. We find that thereexist stable single and dipole surface solitons which do not exhibit a powerthreshold. The properties of the surface solitons can be affected by theinitial value and the degree of nonlocality. When a laser beam is launched awayfrom the interface, the beam will be periodic oscillations.

(2+1)D surface solitons at the interface between a linear medium and a nonlocal nonlinear medium