不同非局域程度条件下空间光孤子的传输特性被引量：30

Properties of spatial optical solitons to different degrees of nonlocality

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摘要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 optical beams in nonlocal nonlinear media is modeled by the nonlocal nonlinear Schrodinger equation. In this paper, discussed is the propagation properties of the optical spatial solitons in the media to different degrees of the nonlocality. An iteration algorithm based on the split-step Fourier method is presented to obtain the solutions of the solitons. The profiles of the solitons to different degrees of the nonlocality are numerically obtained in the assumption that nonlinear response of the media is Gaussian. The stability of the solutions is also demonstrated numerically, which shows that the stable solitons can survive to different degrees of nonlocality. The amplitude profiles of the soliton transit gradually and continuously from a Gaussian function in the strongly nonlocal case into a hyperbolic secant function in the local case. The critical power for the solitons decreases as the nonlocality decreases. The weaker the nonlocality, the slower the soliton phase that has a linear relation with the propagation distance increases.

作者曹觉能郭旗

机构地区华南师范大学信息光电子科技学院

出处《物理学报》 SCIE EI CAS CSCD 北大核心 2005年第8期3688-3693,共6页 Acta Physica Sinica

基金国家自然科学基金(批准号:10474023) 广东省自然科学基金(批准号:031516 04105804)资助的课题.~~

关键词空间光孤子非局域传输特性度条件非线性薛定谔方程非线性响应函数分步傅里叶算法非线性介质双曲正割型迭代算法数值求解稳定传输临界功率高斯型数值解稳定性孤子态变化率光束波形减小减弱相位距离 nonlocal nonlinear Schrodinger equation spatial optical soliton critical power phase

分类号 O431.2 [机械工程—光学工程]

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参考文献14

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二级参考文献22

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