Solitary waves in three-dimensional crystal-like structures

Abstract

The motion of three-dimensional (3D) solitary waves and solitons in nonlinear crystal-like structures, such as photonic materials, is studied. It is demonstrated that collective excitations in these systems can be tailored to move in particular directions of the 3D system. The effect of 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.

4 pages

References in corpus (5)

• Approximate quantum cloaking and almost trapped states
• Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schroedinger Lattices
• Mobility of Discrete Solitons in Quadratically Nonlinear Media
• Nonlinear magnetoinductive waves and domain walls in composite metamaterials
• Solitons as a signature of the modulation instability in the discrete nonlinear Schrodinger equation