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Abstract- In this paper a semi-infinite array of coupling waveguides is considered witch terminated to a continuous medium in one side. Various surface solitons consisted in the border of these continuous and discrete environment are surveyed. Effect of physical parameters such as wave propagation constant and inter-waveguide coupling constant on profile, power and maximum intensity of solitons are studied. Moreover it is found that both of even and odd types of surface modes are supported by the system. Stability of odd modes are confirmed by well-known linear stability analysis and verified by beam propagation simulation method, but even ones are found unstable totally.
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