Ponomarenko Sergey A, Agrawal Govind P
Theoretical Division T-4, Los Alamos National Laboratory, Los Alamos New Mexico 87545 USA.
Phys Rev Lett. 2006 Jul 7;97(1):013901. doi: 10.1103/PhysRevLett.97.013901.
We show analytically that bright and dark spatial self-similar waves can propagate in graded-index amplifiers exhibiting self-focusing or self-defocusing Kerr nonlinearities. The intensity profiles of the novel waves are identical with those of fundamental bright or dark spatial solitons supported by homogeneous passive waveguides with the same type of nonlinearity. Thus, we reveal a previously unnoticed connection between spatial solitons and self-similar waves. We also suggest that the discovered self-similar waves can be used in a promising scheme for the amplification and focusing of spatial solitons in future all-optical networks.
我们通过分析表明，亮空间自相似波和暗空间自相似波可以在呈现自聚焦或自散焦克尔非线性的渐变折射率放大器中传播。这些新型波的强度分布与具有相同类型非线性的均匀无源波导所支持的基本亮空间孤子或暗空间孤子的强度分布相同。因此，我们揭示了空间孤子与自相似波之间一种此前未被注意到的联系。我们还提出，所发现的自相似波可用于未来全光网络中空间孤子放大和聚焦的一个有前景的方案。
