高阶效应对超短艾里-高斯脉冲相互作用的影响

本文运用分步傅里叶变换，对满足高阶耦合非线性薛定谔方程的超短艾里脉冲与超短高斯脉冲,利用MATLAB数值模拟了在高阶效应下两脉冲相互作用后的演化过程以及时域上的强度变化。结果表明：负三阶色散效应使超短脉冲相互作用能传输更远距离；正三阶色散效应会减慢超短脉冲相互作用的传输。自陡峭效应通过孤子分裂现象的形式使超短脉冲相互作用产生时域位移，内拉曼效应可以将超短脉冲相互作用的能量由前沿处转移到后沿处。

Effects of high order effects on the interaction of ultrashort Airy pulse with Gauss pulse

Using the split-step Fourier transform to meet the higher-order coupled nonlinear Schrodinger equation of ultra-short Airy pulse and ultra-short Gaussian pulse, the evolution process and strength changes in time domain of the two pulses interaction in higher-order effects are simulated by using MATLAB. The results show that the negative third-order dispersion effect will accelerate penetration of the wave packet based on ultrashort pulses which can be transmitted over longer distances, positive third-order dispersion effect will slow down the transmission of ultrashort pulses. Self-steepening effect generates ultrashort pulse time-domain displacement by soliton phenomenon form. Intrapulse stimulated Raman effect will lead the interaction of ultrashort pulse energy from the leading edge to the trailing edge.