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基于脉冲在光纤中传输所满足的非线性薛定谔方程,采用数值计算的方法对脉冲在高非线性光纤中演化成自相似抛物线脉冲的传输特性进行了研究。结果表明,脉冲在不同初始能量和啁啾参量的情况下,高非线性光纤产生自相似抛物线脉冲,且随着归一化长度的增大,脉冲的自相似指数从0.0796减小到0.0720。进一步的研究表明:啁啾高斯脉冲在光纤传输过程中,脉冲逐渐展宽,同时正啁啾越大,其自相似演化结果越差;参数N=8的正负啁啾脉冲分别演化成平顶自相似抛物线脉冲以及三角形脉冲。
Based on the nonlinear Schrödinger equation which the impulse transmits in the optical fiber, the transmission characteristics of the pulse evolving into a self-similar parabola pulse in a high nonlinear fiber are studied numerically. The results show that the self - similar parabolic pulses are generated by the high nonlinear fiber with different initial energy and chirp parameters, and the pulse self - similarity index decreases from 0.0796 to 0.0720 with the increase of normalized length. Further studies show that the chirp-Gaussian pulse broadens gradually in the process of optical fiber transmission, and the positive chirp increases, the worse the self-similar evolution results. The positive and negative chirp pulses with N = 8 evolve into flat-top self- Parabolic and triangular pulses.