强非局域非线性介质中的互诱导分数傅里叶变换

Mutual-induced fractional Fourier transform in strongly nonlocal nonlinear medium

在强非局域非线性介质中,用强抽运光可以诱导另一弱信号光实现互诱导分数傅里叶变换效应.信号光的分数傅里叶变换阶数与传输距离和抽运光功率有关,当传输距离不变时与抽运光功率的开方成正比.互诱导分数傅里叶变换是实现光控光的又一方法,其特性有助于研发新型的分数傅里叶变换器件,并在光信息处理、光学成像等多个领域有潜在的应用.

The effect of mutual-induced fractional Fourier transform （FRFT） between a weak signal beam and a strong pump beam in a strongly nonlocal nonlinear medium is described.The signal beam is an FRFT during propagation and the order of FRFT is dependent on the propagation distance and the power of the pump beam.When the propagation distance is fixed,the order of FRFT of the signal beam is proportional to the square root of the power of the pump beam.Mutual-induced FRFT is another method of light controlling light,and its properties contribute to the development of new type FRFT devices,optical information processing and optical imaging.