LIGHT SELF-LOCALIZATION IN NEMATIC LIQUID CRYSTALS: MODELLING SOLITONS IN NONLOCAL REORIENTATIONAL MEDIA
LIGHT SELF-LOCALIZATION IN NEMATIC LIQUID CRYSTALS: MODELLING SOLITONS IN NONLOCAL REORIENTATIONAL MEDIA
复制标题
DOI：
10.1142/s0218863509004968
复制
发表时间：
2009-12
影响因子：
2.7
通讯作者：
G. Assanto;A. Minzoni;N. F. Smyth
中科院分区：
文献类型：
--
作者：
G. Assanto;A. Minzoni;N. F. Smyth
我们审查的数学模型的传播和特定的相互作用的孤立光束在液晶-所谓的nematicons。该理论首先发展为一个单一的nematicon的演变，然后它被扩展到两个不同波长的nematicons的相互作用，采用线性动量守恒方程来预测，两个颜色nematicons可以形成一个矢量束缚态。考虑光学涡旋，我们表明，液晶的非局部响应稳定一个单一的漩涡，不稳定的本地媒体。此外，与另一种颜色的向列体的相互作用可以稳定远低于孤立涡保持不稳定的非定域涡。当多个相同波长的线虫相互作用时，它们散发的辐射可以将它们结合在一起，仍然会导致漩涡。最后，我们讨论了向列子从非线性波导中的逃逸，利用基于动量守恒的简单调制理论来模拟这种效应，并得到了与实验结果非常一致的结果。
We review the mathematical modelling of propagation and specific interactions of solitary beams in nematic liquid crystals — so-called nematicons. The theory is first developed for the evolution of a single nematicon; then it is extended to the interaction of two nematicons of different wavelengths, employing linear momentum conservation equations to predict that two colour nematicons can form a vector bound state. Considering optical vortices, we show that the nonlocal response of liquid crystals stabilises a single vortex, unstable in local media. Moreover, the interaction with a nematicon in another colour can stabilise a vortex for nonlocalities far below those at which an isolated vortex remains unstable. When multiple nematicons of the same wavelength interact, the radiation they shed can join them together, still resulting in a vortex. Finally, we discuss the escape of a nematicon from a nonlinear waveguide, using simple modulation theory based on momentum conservation to model the effect and get excellent agreement with the experimental results.