ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, Castelldefels 08860, Spain.
Opt Lett. 2011 Aug 15;36(16):3088-90. doi: 10.1364/OL.36.003088.
We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1+|r|(α)) support one- and two-dimensional fundamental and higher-order bright solitons, as well as vortex solitons, with algebraically decaying tails. The energy flow of the solitons converges as long as nonlinearity growth rate exceeds the dimensionality, i.e., α>D. Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough.
我们证明了具有向边缘增长的非线性系数(1+|r|(α))的空间非均匀散焦非线性景观可以支持一维和二维基本和高阶亮孤子,以及具有指数衰减尾部的涡旋孤子。只要非线性增长率超过维度,即α>D,孤子的能量流就会收敛。基本孤子总是稳定的,而多极子和涡旋只有在非线性增长率足够大时才是稳定的。