Self-induced fractional Fourier transform and revivable higher-order spatial solitons in strongly nonlocal nonlinear media
Self-induced fractional Fourier transform and revivable higher-order spatial solitons in strongly nonlocal nonlinear media
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DOI：
10.1103/physreva.78.043815
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发表时间：
2008-03
影响因子：
2.9
通讯作者：
Daquan Lu;Wei Hu;Y. Zheng;Yanbin Liang;Longgui Cao;S. Lan;Qi Guo
中科院分区：
文献类型：
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作者：
Daquan Lu;Wei Hu;Y. Zheng;Yanbin Liang;Longgui Cao;S. Lan;Qi Guo
分数阶傅里叶变换（FRFT）自然存在于强非局域非线性（SNN）介质中，光束在SNN介质中的传输可以简单地看作是一种自诱导FRFT。FRFT技术可以方便地处理SNN介质中的场演化，任意平方可积的输入场一般表现为可恢复的高阶空间孤子，每经过4次傅里叶变换，孤子的轮廓周期性地重构。自感生FRFT的研究为SNN介质在连续可调谐非线性FRFT器件等新的应用领域提供了前景。
The fractional Fourier transform (FRFT) naturally exists in the strongly nonlocal nonlinear (SNN) media and the propagation of optical beams in SNN media can be simply regarded as a self-induced FRFT. Through FRFT technic the evolution of fields in SNN media can be conveniently dealt with and an arbitrary square-integrable input field presents generally as a revivable higher order spatial soliton which reconstructs its profile periodically after every 4 times of Fourier transforms. The self-induced FRFT would illuminate the prospect of the SNN media in new applications such as continuously tunable nonlinearity-induced FRFT devices.