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1.
非均匀尘埃等离子体中孤子的传播   总被引:2,自引:0,他引:2       下载免费PDF全文
运用约化摄动法研究了非均匀尘埃等离子体中孤子的传播情况. 在低阶近似下, 对于小的、但有限振幅的长波振动, 当分界面不连续变化时,孤子在不连续点的反射波与透射波均可由 KdV 方程来描述, 并给出了低阶近似情况下, 对于小的、但有限振幅的长波振动, 当入射波为单孤子时, 反射孤子与透射孤子的个数及其大小;当分界面是有限长度并连续变化时,对于小的、但有限振幅的长波振动, 尘埃声孤波由KdV型方程来描述,并由此给出了准孤子振幅、传播速度等参量在传播过程中的变化. 关键词: 尘埃等离子体 孤子 KdV方程 约化摄动法  相似文献   

2.
光纤孤子在媒质突变界面的反射与透射   总被引:1,自引:0,他引:1       下载免费PDF全文
本文通过波包慢变假定,准单色近似和径向模式平均法,建立了光纤孤子反射和透射问题的支配方程和边界条件,借助光束传播法,数值模拟孤子在光纤单界面上的反射和透射过程,文中还给出数值实例。 关键词:  相似文献   

3.
曹文华  刘颂豪等 《光学学报》2001,21(12):409-1416
提出了一种利用非线性光纤环境的开关特性将连续波同时转化为亮孤子和暗孤子的新方法,即让连续波和另一波长的调制脉冲串共同耦合入光纤环境,交叉相位调制使得一部分连续波被环境透射,其余部分被反射,再让透射波和反射波分别在反常色散光纤和正常色散光纤中传输,自相位调制和群速度色散之间的相互作用使得透射波和反射波分别演化为亮,暗孤子,数值计算表明,该方法不仅可产生脉宽比调制脉冲窄,重复频率比调制脉冲高的亮孤子和暗孤子,而且几乎可将全部的连续波能量转化为孤子能量。  相似文献   

4.
一种基于非线性光纤环镜开关特性的超短光孤子产生方法   总被引:3,自引:3,他引:0  
提出了一种利用非线性光纤环镜的开关特性将连续波同时转化为亮孤子和暗孤子的新方法 ,即让连续波和另一波长的调制脉冲串共同耦合入光纤环镜 ,交叉相位调制使得一部分连续波被环镜透射 ,其余部分被反射 ;再让透射波和反射波分别在反常色散光纤和正常色散光纤中传输 ,自相位调制和群速度色散之间的相互作用使得透射波和反射波分别演化为亮、暗孤子。数值计算表明 ,该方法不仅可产生脉宽比调制脉冲窄、重复频率比调制脉冲高的亮孤子和暗孤子 ,而且几乎可将全部的连续波能量转化为孤子能量。  相似文献   

5.
本文建立了决定亚皮秒孤子在小突变界面的反射支配方程和边界条件,给出了不同的亚皮秒孤子的界面反射透射特性的数值模拟,讨论了孤子遇到界面后能继续无形变传输的条件。  相似文献   

6.
本文利用逐级近似法分析了大振幅平面声波正投射在分割二种不同介质的界面上时,声波在界面上发生反射和透射的特性.计算的结果表明在计及二级近似的情况下,二级反射波和透射波除有与一级反射系数和一级透射系数平方成正比的部分外,还有用二级反射系数和二级透射系数描述的反射波和透射波,这些波同二级入射波有一定的相移,相移的大小由二种介质的声学参数和非线性参数规定.本文所获得的结果可以用来阐明已在实验上取得的提高参量阵转换效率的理论依据.  相似文献   

7.
强非局域非线性介质中光束传输的厄米高斯解   总被引:17,自引:0,他引:17       下载免费PDF全文
张霞萍  郭旗 《物理学报》2005,54(7):3178-3182
利用强非局域非线性介质中空间对称实响应函数的泰勒展开简化了非局域非线性薛定谔方程 ,文章基于强非局域非线性空间中的线性模型得到了矩空间1+D(D=1,2)维的厄米高斯 型解,得到了高阶孤子波的解析式,高斯解是最低阶孤子,即基模光孤子,并得到了入射光 束的临界功率.图示展现了几个低阶光孤子解,并发现了强非局域非线性介质中存在非对称 光孤子. 关键词: 高阶孤子 强非局域介质 厄米高斯  相似文献   

8.
不均匀等离子体中孤子的传播   总被引:2,自引:0,他引:2       下载免费PDF全文
假设两种离子的分界面是有限长度并连续变化的,研究了由这两种离子组成的等离子体中孤子的传播.在低阶近似条件下,等离子体声波将由KdV方程或非线性Schrdinger方程来描述,由此给出了准孤子振幅、传播速度等参量在传播过程中的变化. 关键词:  相似文献   

9.
张秋菊  盛政明  张杰 《物理学报》2004,53(3):798-802
利用一维粒子模拟程序,观测到周期量级的超短激光脉冲在等离子体中可以以孤子形式传播.它在一定密度等离子体中以较高的群速度向前传播,并在到达等离子体与真空界面时发生反射和透射.当入射激光脉冲强度增大时,非线性调制效应使它产生较大的频率下移,致使光孤子传播速度变小.另外,对于同样光强下的几十个周期以上的光脉冲,它在等离子体中传播时形成的则是一连串低频的被捕获在等离子体中的光孤子. 关键词: 光孤子 超短激光脉冲 等离子体 粒子模拟  相似文献   

10.
线偏振光在手征负折射材料表面的传输特性研究   总被引:2,自引:1,他引:1  
从理论上研究了手征负折射材料表面的反射与透射特性,给出了归一化的反射透射功率与入射角之间的关系曲线.当入射波分别为垂直和平行极化波(TE和TM波)时,得到了发生负折射时的布儒斯特角和全内反射角随手征参数和材料折射率的变化关系.手征负折射介质中的一个本征波发生了负折射,其功率流方向与波矢方向相反.  相似文献   

11.
We study the reflection of one-dimensional spatial solitons at the non-linear interface between a Kerr-type medium and a linear medium. Our study places emphasis on determining the physical conditions under which the beam reflected by the non-linear interface is still a spatial soliton. We find that for small angles of incidence an elastic internal reflection takes place, in the sense that the reflected soliton is essentially the same as the incident one. For incidence angles near a critical angle, the reflected soliton becomes less intense and its reflection angle is smaller than the angle of incidence. Finally, for spatial solitons with input angles well above the critical angle, the main part of the energy is transmitted to the linear medium, and no soliton is internally reflected.  相似文献   

12.
We report experimental evidence of soliton reflection at the boundary of quadratic nonlinear media. The evolution of beams incident upon the interface of periodically poled LiNbO3 and uniform LiNbO3 is considered; in the whole device the linear refractive index is homogeneous. Linear beam transmission and soliton reflection at the nonlinear phase-mismatched boundary were observed. Numerical simulations that correspond to the experiments are also presented.  相似文献   

13.
Dong-Mei Wang 《中国物理 B》2021,30(12):120303-120303
We study dynamical behaviors of a Bose-Einstein condensate (BEC) containing a dark soliton reflected from potential wells and potential barriers, respectively. The orientation angle of the dark soliton and the width of the potential change play key roles on the reflection probability Rs. Variation of the reflection probability with respect to the orientation angle θ of the dark soliton can be well described by a cosine function Rs~cos[λ(θ-π/2)], where λ is a parameter determined by the width of the potential change. There are two characteristic lengths which determine the reflection properties. The dependence of the reflection probability on the width of the potential change shows distinct characters for potential wells and potential barriers. The length of the dark soliton determines the sensitive width of potential wells, whereas for potential barriers, the decay length of the matter wave in the region of the barrier qualifies the sensitive width of the barrier. The time evolution of the density profiles of the system during the reflection process is studied to disclose the different behaviors of matter waves in the region of the potential variation.  相似文献   

14.
An asymptotic analysis of the Marchenko integral equation for the sine-Gordon equation is presented. The results are used for a construction of soliton asymptotics of decreasing and some non-decreasing solutions of the sine-Gordon equation. The soliton phases are shown to have an additional shift with respect to the reflectionless case caused by the non-zero reflection coefficient of the corresponding Dirac operator. Explicit formulas for the phases are also obtained. The results demonstrate an interesting phenomenon of splitting of non-decreasing solutions into an infinite series of asymptotic solitons.  相似文献   

15.
The authors describe a series of experiments performed in a positive ion-negative ion plasma that were designed to study the reflection and focusing properties of solitons. The nonlinear wave was compared with a theoretical model using linear waves. The two-dimensional soliton was created by reflecting an incident planar soliton from a concave hemispherical surface. The experimental results are interpreted in terms of the linear waves that can exist in a focused Fabry-Perot resonator  相似文献   

16.
We consider the motion of a matter-wave bright soliton under the influence of a cloud of thermal particles. In the ideal one-dimensional system, the scattering process of the quasiparticles with the soliton is reflectionless; however, the quasiparticles acquire a phase shift. In the realistic system of a Bose-Einstein condensate confined in a tight waveguide trap, the transverse degrees of freedom generate an extra nonlinearity in the system which gives rise to finite reflection and leads to dissipative motion of the soliton. We calculate the velocity and temperature-dependent frictional force and diffusion coefficient of a matter-wave bright soliton immersed in a thermal cloud.  相似文献   

17.
We address soliton transmission and reflection in nonlinear photonic lattices embedded into uniform Kerr nonlinear media. We show that by introducing disorder into the guiding lattice channels, one may achieve soliton transmission even under conditions where regular lattices reflect the input beam completely. In contrast, in the parameter range in which the lattice is almost transparent for incoming solitons, disorder may induce a significant reflection.  相似文献   

18.
The propagation of Davydov's soliton in the molecular chain with an impurity has been investigated. The numerical analysis demonstrates that the presence of the impurity leads to the decreasing of the soliton velocity, as well as to the localization (pinning) of the excitation in a region of space close to the impurity or even to the reflection or destruction of the soliton. The analytical results which demonstrate that the influence of the impurity is equivalent to the existence of some localized external inhomogeneous field or friction force have been obtained also.  相似文献   

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