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给出了一组在单模光纤中超短脉冲前向四波混频的耦合波方程。利用这组方程所作的数值研究表明:在低转换和脉冲的走离远小于脉冲宽度的条件下,超短脉冲前向四波混频的转换效率对相位失配的关系与连续波四波混频情况基本相同,不存在使增益为零的Δk(k为不考虑非线性折射率时模的波数)的取值区间,但峰值条件应该是Δκ=0(κ为计及非线性折射率时模的波数),而不是Δk=0;窄脉冲的转换效率略低且峰值位置与Δκ=0稍有偏离;在超短脉冲的前向四波混频中实现Δk=0,可以最大限度地避免在Δk≠0时由于脉冲的走离所造成的脉冲加宽和变形
A set of coupled wave equations of ultrashort pulse forward four-wave mixing in single-mode fiber is given. The numerical studies using this set of equations show that the conversion efficiency of the forward four-wave mixing of the ultrashort pulse has a significant effect on the phase mismatch with the continuous wave four-wave mixing under the conditions of low conversion and pulse width far less than the pulse width, The frequency is basically the same. There is no value interval for Δk (k is the wave number of the mode irrespective of the nonlinear refractive index) for which the gain is zero, but the peak condition should be Δκ = 0 (where κ is the nonlinear refractive index Mode wavenumbers) rather than Δk = 0; the conversion efficiency of the narrow pulse is slightly lower and the peak position slightly deviates from Δκ = 0; and Δk = 0 is achieved in the forward four-wave mixing of ultrashort pulses, maximizing Avoid broadening and deformation of the pulse due to the pulse’s departure when Δk ≠ 0