Reflection, Transmission and Trapping Dynamics of Lattice Solitons at Interfaces

Surface soliton formation and lattice soliton dynamics at an interface between two inhomogeneous periodic media are studied in terms of an effective particle approach. The global reflection, transmission and trapping characteristics are obtained in direct analogy to linear Snell's laws for homogeneous media. Interesting dynamics related to soliton power-dependent formation of potential barriers and wells suggest spatial filtering functionality of the respective structures.