We report on the rich dynamics of two-dimensional fundamental solitons coupled and interacting on the top of an elliptical shaped potential in a two-dimensional Ginzburg-Landau model. Under the elliptical shaped poten- tial, the solitons display unique and dynamic properties, such as the generation of straight-line arrays, emission of either one elliptical shaped soliton or several elliptical ring soliton arrays, and soliton decay. When changing the depth and sharpness of the external potential and fixing other parameters of the potential, various scenarios of soliton dynamics are also revealed. These results suggest some possible applications for all-optical data-processing schemes, such as the routing of light signals in optical communication devices.
Electromagnetic cloaking based on the scattering cancellation method have been reviewed. The possibility of designing the tunable electromagnetic cloaking is analytically suggested with a single cloak composed of homogeneous materials,including semiconductor,superconductor,ferrite and ferroelectrics by using Mie scattering theory. The simulated results demonstrate that the cloaks with these homogeneous materials can drastically reduce the total scattering cross sections of the cloaked system by using the finite element method. These cloaking frequencies can be controlled by external field through tuning the permittivity or permeability of these materials by the applied field,such as temperature,magnetic field and electric field. These may provide some potential ways to design tunable cloaking with considerable flexibility.
We report on the existence and stability of defect solitons in two-dimensional optical Bessel potentials. It is found that for zero defect, defect solitons are stable in the entire existence domain. For negative defects, defect solitons are unstable in tile moderate power region. It is worth emphasizing that for deep enough defects, another unstable domain will emerge in the high power region.
