共查询到18条相似文献,搜索用时 109 毫秒
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针对热效应的非局域程度和分子取向效应的非局域程度不等的情况,利用JUNG P S等提出的模型研究了具有竞争非局域非线性效应的向列相液晶中的亮孤子特性.通过变分法得到光束振幅、宽度、啁啾和位相等参数随传输距离的变化规律,即光束振幅和宽度与入射光的功率息息相关,光束宽度随热非局域程度增加单调递减,随热非线性系数增加单调递增.在此基础上给出和入射光束功率密切相关的势能函数.利用势能函数预言了入射光束功率越大亮孤子宽度越小.通过解变分方程组可得,入射光功率为4或8时,光束宽度均随传输距离周期性震荡.这两个震荡趋势有明显的区别,功率为4时光束传输过程中宽度始终大于或等于初始宽度,功率为8时光束传输过程中宽度始终小于或等于初始宽度.该变化规律与数值仿真结论一致. 相似文献
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在量子力学的微扰理论框架下,利用微扰法求解得到了1+2维强非局域非线性介质——铅玻璃中二阶微扰修正的"类拉盖尔高斯型"涡旋孤子的近似解析解。从非局域非线性薛定谔方程(NNLSE)出发,以铅玻璃中的真实折射率与Snyder-Mitchell(SM)模型中描述的抛物线型折射率的差值为微扰,以SM模型中的拉盖尔高斯孤子解为基态解,求得了铅玻璃材料中二阶微扰修正的"类拉盖尔高斯型"涡旋孤子的解析解。拓扑荷值分别为1、2、3、4的微扰修正的"类拉盖尔高斯型"光孤子比未加微扰的拉盖尔高斯型光孤子更稳定,非常接近孤子真解的传输行为。 相似文献
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Calculating the dielectric anisotropy of nematic liquid crystals: a reinvestigation of the Maier——Meier
theory 下载免费PDF全文
This paper investigates the average dielectric permittivity
(\overline ε ) in the Maier--Meier theory for calculating
the dielectric anisotropy (Δε) of nematic liquid
crystals. For the reason that \overline ε of nematics
has the same expression as the dielectric permittivity of the isotropic
state, the Onsager equation for isotropic dielectric was used to
calculate it. The computed \overline ε shows reasonable
agreement with the results of the numerical methods used in the
literature. Molecular parameters, such as the polarizability and its
anisotropy, the dipole moment and its angle with the molecular long
axis, were taken from semi-empirical quantum chemistry (MOCPAC/AM1)
modeling. The calculated values of Δε according
to the Maier--Meier equation are in good agreement with the experimental
results for the investigated compounds having different core
structures and polar substituents. 相似文献
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在数值和实验上研究了向列相液晶中空间光孤子的相互作用.向列相液晶中的响应函数为指数衰减函数,这不同于Snyder-Mitchell模型.数值模拟发现向列相液晶中的孤子相互作用仍然满足交叉点位置与输入功率的平方根成反比,强非局域下的Snyder-Mitchell模型交叉点位置与两束光的间距无关,而在向列相液晶中交叉点位置与两束光的间距有关;在实验上发现,向列相液晶中两束光交叉点的位置与输入功率平方根成反比,还和形成孤子的临界功率以及两束光之间的间距有关.
关键词:
强非局域非线性
向列相液晶
孤子相互作用
交叉点 相似文献
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In this work we demonstrate the properties of spatial solitary waves in chiral nematic liquid crystals with an external electric field. Such self-trapped beams, called nematicons, were created due to the optical reorientation nonlinearity for a light power of a few tens of milliwatts. We show that the direction of propagation of such nematicons can be changed by applying an external electric field. Additionally, this effect can be modified by changing the input polarization of the light beam. The experimental results were obtained in four independent guiding layers created by a chiral nematic structure. 相似文献
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Temperature dependence of ratio between dielectric anisotropy and order parameter in fluorinated nematic liquid crystals 下载免费PDF全文
Temperature dependence of ratio between dielectric anisotropy and
order parameter of fluorinated nematic liquid crystal is
investigated by using a semi-empirical molecular orbital package
that can accurately calculate an angle between molecular dipole
moment and long axis. We optimize the molecular conformations with
three semi-empirical Hamiltonians AM1, PM3 and PM5, and then make a
comparison between computational results and experimental
measurements. It is shown that the results obtained from AM1 method
are in good agreement with the measurements. The present study
offers an applicable method to predict the dielectric properties of
liquid crystal material. 相似文献
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Temperature dependence of ratio between dielectric anisotropy and order parameter in fluorinated nematic liquid crystals 下载免费PDF全文
Temperature dependence of ratio between dielectric anisotropy and order parameter of fluorinated nematic liquid crystal is investigated by using a semi-empirical molecular orbital package that can accurately calculate an angle between molecular dipole moment and long axis. We optimize the molecular conformations with three semi-empirical Hamiltonians AM1, PM3 and PM5, and then make a comparison between computational results and experimental measurements. It is shown that the results obtained from AM1 method are in good agreement with the measurements. The present study offers an applicable method to predict the dielectric properties of liquid crystal material. 相似文献
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Jeroen Beeckman Kristiaan Neyts Xavier Hutsebaut Cyril Cambournac Marc Haelterman 《Optical and Quantum Electronics》2005,37(1-3):95-106
In the general case the optical tensor of a nematic liquid crystal consists of nine nonzero elements, which makes it difficult to calculate light propagation in a liquid-crystal cell. For a two-dimensional (2-D) problem with TM polarization and a parallel liquid-crystal orientation where the molecules are only tilted and not twisted, the full problem can be calculated by using one magnetic field component, thus reducing the problem to a scalar one. This geometry is used to simulate the self-focusing effect which can lead to the generation of spatial optical solitary waves. This self-focusing occurs due to the optical nonlinear effect of field-induced director reorientation. Due to nondiagonal elements of the optical tensor, however, it is expected that the Poynting vector will deviate from the original propagation direction. Our simulations reveal that, in this case, the deviation will not cause the loss of the soliton-like beam propagation regime, but will rather give rise to a transverse undulating behaviour. 相似文献
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We study the propagation of (1+1)-dimensional spatial soliton in a
nonlocal Kerr-type medium with weak nonlocality. First, we show that
an equation for describing the soliton propagation in weak
nonlocality is a nonlinear Schr?dinger equation with
perturbation terms. Then, an approximate analytical solution of the
equation is found by the perturbation method. We also find some
interesting properties of the intensity profiles of the soliton. 相似文献
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强非局域空间光孤子是指满足强非局域条件的空间孤子.在Snyder和Mitchell工作的基础上,获得了不共面对称斜入射(1+2)维强非局域空间光孤子对相互作用问题的精确解析解.结果表明,光束初始中心距离在大范围尺度内变化时,双孤子的演化都能形成类似DNA结构的稳定缠绕,这种稳定缠绕的结构与双孤子的初始相位差无关;光束中心在横截面上的投影轨迹一般是一个斜椭圆,通过改变两光束的初始中心距离和倾斜度可以控制该椭圆轨迹的变化.指出了利用(1+2)维强非局域空间光孤子的相互作用特性实现平面全光开关和全光互联的潜在可能性.
关键词:
(1+2)维非局域非线性介质
空间光孤子的相互作用
全光开关
全光互联 相似文献