The paper proposes a novel efficient numerical model for simulation of spectral and temporal transformation of laser pulses due to interplay of Kerr and Raman nonlinearity and chromatic dispersion in the process of propagation through single-mode optical fibers. The model reproduces qualitatively the spectral shape of Raman gain within the approximation of slowly varying amplitudes using a pair of meshes (for pump and Stokes waves) with a reduced number of points. Nonlinear propagation of 100-ps-long laser pulses along an optical fiber is used as a test bed for the new model. It is shown that the proposed model provides accuracy better than 10% in Stokes wave energy growth speed, while being up to eight times more efficient in memory usage and computation speed compared to the generalized nonlinear Schrödinger equation.

中文翻译：

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光纤中受激拉曼散射的有效数值模型

本文提出了一种新颖的高效数值模型，用于仿真由于单模光纤传播过程中Kerr和Raman非线性以及色散所引起的激光脉冲的光谱和时间转换。该模型使用减少点数的一对网格（对于泵浦和斯托克斯波）定性地再现了在缓慢变化的幅度近似范围内的拉曼增益的频谱形状。沿光纤的100 ps长激光脉冲的非线性传播被用作新模型的测试平台。结果表明，与广义非线性Schrödinger方程相比，所提出的模型在斯托克斯波能量增长速度方面的精度优于10％，而在内存使用和计算速度方面的效率高出八倍。