Bistable Helmholtz solitons in cubic-quintic materials
Bistable Helmholtz solitons in cubic-quintic materials
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三次五次材料中的双稳态亥姆霍兹孤子
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
P. Chamorro
中科院分区：
文献类型：
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作者：
J. Christian;G. S. McDonald;P. Chamorro
我们提出了一个非线性亥姆霍兹方程来模拟宽光束在三次强度相关折射率介质中的演化。这种非线性适用于某些半导体材料、玻璃和聚合物。给出了精确的解析孤子解，描述了自捕获的非傍轴光束以相对于参考方向的任何角度传播。据我们所知，这些空间对称解是第一个被导出的双稳态亥姆霍兹孤子。伴随的守恒定律（整体和特殊形式）也被报道。数值模拟研究了孤子的稳定性，这些孤子似乎对扰动具有显著的鲁棒性。
We propose a nonlinear Helmholtz equation for modeling the evolution of broad optical beams in media with a cubic-quintic intensity-dependent refractive index. This type of nonlinearity is appropriate for some semiconductor materials, glasses, and polymers. Exact analytical soliton solutions are presented that describe self-trapped nonparaxial beams propagating at any angle with respect to the reference direction. These spatially symmetric solutions are, to the best of our knowledge, the first bistable Helmholtz solitons to be derived. Accompanying conservation laws (both integral and particular forms) are also reported. Numerical simulations investigate the stability of the solitons, which appear to be remarkably robust against perturbations.