Abstract
It is theoretically shown that multi-component discrete vector surface waves can exist in arrays of coupled waveguides. These mutually trapped surface states primarily reside in the first waveguide of a semi-infinite array. The existence and stability of such surface waves are systematically investigated.
Highlights
Surface waves exist along the interface between two different media and on many occasions are known to exhibit behavior that has no analogue in continuous systems
Perhaps the best known example of such surface states, in the linear optical domain, are plasmon waves, which exist at metal/dielectric interfaces [1]
Optical surface waves can propagate along the boundary of semi-infinite periodic or multi-layer dielectric media [2] as well as along the interfaces between anisotropic materials [3]
Summary
Surface waves exist along the interface between two different media and on many occasions are known to exhibit behavior that has no analogue in continuous systems. Optical surface waves can propagate along the boundary of semi-infinite periodic or multi-layer dielectric media [2] as well as along the interfaces between anisotropic materials [3]. Semi-infinite waveguide arrays have been suggested as a promising environment in which nonlinear surface wave dynamics can be readily investigated both theoretically and experimentally [16]. In such a configuration, the discrete nonlinear surface wave resides mainly in the first waveguide site of the array and its only possible above a certain power threshold. The stability properties of these waves are in agreement with the Vakhitov-Kolokolov criterion
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