共查询到17条相似文献,搜索用时 171 毫秒
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《中国光学与应用光学文摘》2007,(3)
非线性光学概论O4372007032364向列相液晶中强非局域空间光孤子的实验观察=Experi-mental observation of strong nonlocal optical spatial soli-tons in nematic liquid crystals[刊,中]/张涛(华南师范大学信息光电子科技学院传输光学实验室,广东省高校光子信息技术重点实验室.广东,广州(510006)),胡巍…//光学学报.?2007,27(1).?143-147通过实验对向列相液晶中的非局域空间光孤子的传输进行了研究。理论上基于非线性的液晶孤子传输方程,采用高斯形式的试探解,得到了孤子传输的解析解,以及对液晶中的非局域孤子和Snyder等提出的强非局域… 相似文献
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利用变分法研究了(2+1)维圆对称双曲正割光束在弱非局域非线性介质中的传输,得到了描述光束束宽、相位、波前曲率、振幅演化的一组微分方程,并得到了光束做孤子传输的临界功率;通过稳定性分析给出了弱非局域情形非局域效应对光束传输的稳定作用的定量描述,从而自洽地阐述了由不稳定的(2+1)维克尔孤子到稳定的(2+1)维弱非局域孤子的过渡情形. 数值模拟的结果验证了变分计算结果的正确性,并说明圆对称的双曲正割函数是(2+1)维弱非局域空间孤子的很好的近似.
关键词:
双曲正割光束
弱非局域非线性介质
空间光孤子 相似文献
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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.
关键词:
非局域非线性薛定谔方程
空间光孤子
临界功率
相位 相似文献
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研究得到了偏离束腰入射的复宗量Laguerre-Gauss光束在强非局域非线性介质中传输的解析表达式,并且得到了其二阶矩束宽的解析解.通过例子研究了偏离束腰入射的复宗量Laguerre-Gauss光束在强非局域非线性介质中传输性质.结果表明:非(0, m)模的复宗量Laguerre-Gauss光束的光束形状随着传输而发生改变,并以Δz=πzc为周期做周期性演化.而(0,m)模复宗量Laguerre-Gauss光束在演化过程中则形状保持不变,仅改变光束宽度;不论功率多大,在偏离束腰入射条件下总是表现为呼吸子;只有当其为束腰入射,并且入射功率等于临界功率时才能形成孤子.
关键词:
强非局域非线性
复宗量Laguerre-Gauss光束
二阶矩束宽
空间光孤子 相似文献
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The solutions of the strongly nonlocal spatial solitons with several types of nonlocal response functions 总被引:3,自引:0,他引:3 下载免费PDF全文
The fundamental and second order strongly nonlocal solitons of the
nonlocal nonlinear Schr\"{o}dinger equation for several types of
nonlocal responses are calculated by Ritz's variational method. For
a specific type of nonlocal response, the solutions of the strongly
nonlocal solitons with the same beam width but different degrees of
nonlocality are identical except for an amplitude factor. For a
nonlocal case where the nonlocal response function decays in direct
proportion to the $m$th power of the distance near the source point,
the power and the phase constant of the strongly nonlocal soliton are
in inverse proportion to the $(m+2)$th power of its beam width. 相似文献
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We investigate the existence and stability of dipole-mode solitons in two-dimensional models of nonlocal media with anisotropic Kerr nonlinearity analytically and numerically. We obtain the approximate solution of such elliptic dipole solitons by using the variational approximation. The dynamics of such dipole-mode solitons is governed by the eccentricity of both the input beam and the nonlocal response function. We also compute the stability of the solitons by direct numerical simulations. The effects of the anisotropy of the nonlocal response function on the propagation of the dipole beam are also discussed in detail. 相似文献
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We address the physical features exhibited by spatial optical solitons propagating in nonlocal Kerr-type media with Gaussian-shaped response and exponential-decay response, respectively. An iteration algorithm based on the split-step Fourier method is developed to obtain the numerical solutions of the solitons for the nonlocal nonlinear Schrödinger equation with arbitrary degrees of nonlocality. Our numerical results show that the soliton properties in the normalized system are different with the change of the degree of nonlocality and with the different responses. The profiles undergo a gradual and continuous transition from a Gaussian-shaped function in the strongly nonlocal case to a hyperbolic secant function in the local case for the Gaussian-shaped response, but for the exponential-decay response, the soliton profile is not Gaussian-shaped even in the strongly nonlocal cases. For the same response function, the stronger the nonlocality is, the higher the critical powers for solitons are and the larger of the phase shifts of the solitons. For the same degrees of nonlocality, when the degrees of nonlocality is larger enough, both the critical power and the phase shift for the Gaussian-shaped response are larger than that for the exponential-decay response. 相似文献
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基于强非局域非线性介质中的Snyder-Mitchell模型,利用分离变量法得到了(1 1)维光束传输的厄米-高斯型解析解.比较厄米-高斯型解析解与非局域非线性薛定谔方程的数值解,证实了,在强非局域条件下,该厄米-高斯型解与数值解完全吻合.对厄米-高斯光束的传输特性进行研究,结果表明,光束束宽会出现周期性的压缩或者展宽现象.并且得到了实现厄米-高斯光束稳定传输的临界功率、厄米-高斯孤子解及传输常量,临界功率与厄米-高斯光束的阶数无关,但传输常量随阶数的增加而增加.高斯呼吸子和高斯孤子就是基模厄米-高斯呼吸子和基模厄米-高斯孤子. 相似文献