Multipole surface solitons supported by the interface between linear media and nonlocal nonlinear media

We address multipole surface solitons occurring at the interface between a linear medium and a nonlocal nonlinear medium. We show the impact of nonlocality, the propagation constant, and the linear index difference of two media on the properties of the surface solitons. We find that there exist a threshold value of the degree of the nonlocality at the same linear index difference of two media, only when the degree of the nonlocality goes beyond the value, the multipole surface solitons can be stable.

► We show the impact of nonlocality and the linear index difference of two media on the properties of the surface solitons.
► For the surface solitons, only when the degree of the nonlocality goes beyond a threshold value, they can be stable.
► The number of poles and the index difference of two media can all influence the threshold value.