提出了一种基于全光分数阶傅里叶变换(optical fractional fourier transformation,OFRFT)的关于色散和自相位调制对光脉冲传输影响的分析方法,并基于该方法给出了一种新的光脉冲在光纤中传输最小损伤的方法,通过在发射端将输入的高斯光脉冲做OFRFT然后再送入到光纤中去传输,可以提高光脉冲抵抗色散和非线性的能力,仿真发现当色散占主要作用的时候,负阶数的分数阶傅里叶变换可以很大程度上减小光脉冲的展宽;当自相位调制作用占主要的时候,正阶数的分数阶傅里叶变换可以消除自相位调制作用的脉冲分裂效应.该方法在高速光纤通信中有应用意义.
The theoretical derivation of optical time-domain fractional Fourier transformation is achieved and implemented. Based on the understanding of fractional Fourier transformation,we propose a new method for analyzing the influence of combined effects of dispersion and self-phase modulation on the propagation of optical pulses. And the simulation results show that when the dispersion is dominant in the transmission,a fractional Fourier transformation with a negative order number will help reduce the broadening of optical pulses induced by the dispersion. On the other hand,when the self-phase modulation is dominant,a positive order fractional Fourier transmission can help eliminate the pulse splitting effect.