Do solitonlike self-similar waves exist in nonlinear optical media?
Do solitonlike self-similar waves exist in nonlinear optical media?
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DOI：
10.1103/physrevlett.97.013901
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发表时间：
2006-07
影响因子：
8.6
通讯作者：
S. Ponomarenko;G. Agrawal
中科院分区：
文献类型：
--
作者：
S. Ponomarenko;G. Agrawal
我们分析表明，明亮和黑暗的空间自相似波可以在渐变折射率放大器中传播，表现出自聚焦或自散焦克尔非线性。这种新波的强度分布与具有相同非线性的均匀无源波导中基亮或基暗空间孤子的强度分布一致。因此，我们揭示了空间孤子和自相似波之间以前未被注意的联系。我们还认为，所发现的自相似波可以用于一个有前途的方案，在未来的全光网络的空间孤子的放大和聚焦。
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.