Abstract
The motion of three-dimensional (3D) solitary waves and vortices in nonlinear crystal-like structures is studied. It is demonstrated that collective excitations in these systems can be tailored to move along any predetermined direction in the 3D system. The effect of the modulation instability is studied, showing that in some cases it can be delayed by using a lensing factor. Analytical results supported by numerical simulations are presented.
Highlights
Great progress has been made in the experimental fabrication of three-dimensional (3D) crystal-like optical nano structures, such as photonic crystals [1] and photonic metamaterials [2]
Analytical results supported by numerical simulations are presented
There is, strong evidence from low-dimensional systems [6,7,8,9] that discrete effects in combination with nonlinearities may play an important role in describing realistic 3D crystal-like structures
Summary
Great progress has been made in the experimental fabrication of three-dimensional (3D) crystal-like optical nano structures, such as photonic crystals [1] and photonic metamaterials [2]. Light in 3D crystal-like optical nano structures can interact with the regular pattern of the structure setting up resonances. There is, strong evidence from low-dimensional systems [6,7,8,9] that discrete effects in combination with nonlinearities may play an important role in describing realistic 3D crystal-like structures. Nonlinear excitations such as moving solitary waves (in short solitons) and vortices can be expected
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