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光束在非局域非线性介质中传输由非局域非线性薛定谔方程描述.讨论了在不同非局域程度条件下,空间光孤子的传输特性.提出了一个基于分步傅里叶算法数值求解孤子波形和分布的迭代算法.假定介质的非线性响应函数为高斯型,得出了在不同非局域程度条件下空间光孤子的数值解,并数值证明了它们的稳定性.结果表明,不论非局域程度如何,光束都能以光孤子态在介质中稳定传输.光孤子的波形是从强非局域时的高斯型过渡到局域时的双曲正割型,形成孤子的临界功率随非局域程度的减弱而减小,光孤子相位随距离线性增大,相位的变化率随非局域程度的减弱而减小.
The propagation of the beam in a nonlocal nonlinear medium is described by a nonlocal nonlinear Schrödinger equation. The transmission properties of the spatial optical soliton under different nonlocal conditions are discussed. A numerical solution based on the fractional Fourier algorithm The iterative algorithm for the soliton waveforms and distributions is given. Assuming that the nonlinear response function of the medium is Gaussian, the numerical solutions of the spatial solitons in different nonlocal conditions are obtained and their numerical stability is proved. The results show that, Non-local extent, the light beam can be stable in the optical soliton state in the medium.The optical soliton waveform from the strong non-local Gaussian transition to local hyperbolic secant, the formation of the soliton’s critical power With the decrease of non-local degree, the optical soliton phase increases linearly with distance, and the rate of change of phase decreases with the decrease of non-local degree.