In this paper we investigate the gap solitons, emerging inside and edge of homogeneous medium sandwiched by periodic structures. After introducing theoretical model based up on the well-known nonlinear Schrödinger equation, this equation is numerically solved and the existence domain of steady solitary solution are plotted. Furthermore new class of the solitary solution in this sort of systems named “Bi-surface soliton” is introduced for the first time, according to our knowledge. This new mode is compared to the previous ones well-known as monopole and dipole modes.

Keywords: Floquet - Bloch Spectrum, Gap Soliton, Surface mode, Dipole mode

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