波动方程深度偏移的局部裂步Fourier传播算子

针对裂步Fourier传播算子在速度强横向变化介质中的不足,将算子的框架展开方法应用于Fourier传播算子中的相移算子,提出了一种波场传播的局部裂步Fourier传播算子,并把它应用于波动方程叠前深度偏移成像.这个局部裂步Fourier传播算子是由相空间(空间-波数)-频率域的相移算子和空间-频率域的窗口时移算子两部分组成.与波数-频率域的空间全局性相移算子不同,相空间-频率域的相移算子具有很好的空间局部性.通过在国际标准的SEG-EAGE二维盐丘模型的波动方程叠前深度偏移成像数值试验,证明局部Fourier传播算子不仅具有很好的稳定性,而且还特别适用于速度强横向变化介质.     

Spontaneously generated walking X-shaped light bullets

In quadratic nonlinear media with normal dispersion and nonvanishing group velocity mismatch between fundamental wave and second-harmonic pulses, the wave packets of two harmonics can be locked together in propagation in the form of walking X-shaped light bullets. The output wave packets are developed into X-shaped light bullets with significant group delay time due to mutual dragging and significant shifting in spatiotemporal spectrum due to delayed nonlinear phase shift. We also show that spontaneously generated phase-front tilting can balance the dragging force induced by group velocity mismatch and lead to zero-velocity walking X-shaped light bullets.     

线偏振光在手征负折射介质中的古斯汉欣位移特性研究

从理论上分析了手征负折射介质中的横向位移特性,给出了线极化波入射条件下发生全反射时的横向位移随入射角的关系曲线。当入射角处于两个本征波的临界角之间时,TE和TM分量对应的横向位移方向相反。而当入射角大于全内反射角时,两个分量都将朝着正方向发生横向位移。通过比较发现手征负折射介质中的古斯汉欣位移特性与常规介质和一般手征介质也有着很大的不同之处。     

Particle-in-Cell Simulation of the Reflection of a Korteweg-de Vries Solitary Wave and an Envelope Solitary Wave at a Solid Boundary

Reflections of a Korteweg-de Vries(KdV) solitary wave and an envelope solitary wave are studied by using the particle-in-cell simulation method.Defining the phase shift of the reflected solitary wave,we notice that there is a phase shift of the reflected KdV solitary wave,while there is no phase shift for an envelope solitary wave.It is also noted that the reflection of a KdV solitary wave at a solid boundary is equivalent to the head-on collision between two identical amplitude solitary waves.     

左手材料复合双棱镜内部界面的古斯-汉森位移

设计了一种左手材料复合双棱镜,由两块各向同性左手材料棱镜与夹在其间的、其界面与光轴成一定的角度的单轴各向异性左手材料平板构成.研究了发生在其内部界面上的古斯-汉森位移.分析了发生折射的条件和古斯-汉森位移的符号.研究发现,反射波与透射波有相同的古斯-汉森位移,透射波的古斯-汉森位移随着薄层厚度的增加而振荡,整体上呈增加趋势;在透射共振点,透射波的古斯-汉森位移达到极大值,且极大值可达入射波波长的数十倍;发现入射角和光轴与界面的角度对透射波的古斯-汉森位移有很大影响.最后简单地探讨了这种双棱镜的潜在应用.     

在光纤零群速色散区传输的光孤子波

通过对超短光脉冲在单模光纤中传输方程的分析研究,给出了在零群速色散传输方程的亮,反波解。结果表明,超短光脉中在光纤的零群群速色散仍能以亮,暗孤波的形式传输,且不存在孤子自频移现象。     

Goos-Hänchen shift of the uniaxially anisotropic left-handed material film with an arbitrary angle between the optical axis and the interface

The Goos-Hänchen shift at the surface of a uniaxially anisotropic left-handed material film is investigated, for the situation of that there is an arbitrary angle between the optical axis and the interface of the material. The analytical expressions of the Goos-Hänchen shifts are derived, for both cases of that the total reflection occurs and does not occur at the first interface. The sign of the Goos-Hänchen shifts in the two situations is analysed. The results show that the Goos-Hänchen shift of the reflected wave is the same as that of the transmitted one for the case that the total reflection does not occur at the first interface; the Goos-Hänchen shift of the transmitted wave oscillates as the thickness of the film is increased, and its overall tendency is increased; the Goos-Hänchen shift of the transmitted wave realizes its absolute maximum when the transmitted wave resonances, the absolute maximum is almost several 10 times of the wavelength of the incident wave; the Goos-Hänchen shift of the transmitted wave is significantly influenced by the incident angle and the angle between the optical axis and the interface.     

Electronic properties of double-layer carbon nanotubes

The electronic spectra for double-wall zigzag and armchair nanotubes are found. The influence of nanotube curvatures on the electronic spectra is also calculated. Our finding that the outer shell is hole doped by the inner shell is in the difference between Fermi levels of individual shells which originate from the different hybridization of π orbital. The shift and rotation of the inner nanotube with respect to the outer nanotube are investigated. We found stable semimetal characteristics of the armchair DWNTs in regard of the shift and rotation of the inner nanotube. We predict the shift of k_F towards the bigger wave vectors with decreasing of the radius of the armchair nanotube.     

非自治拉曼多色孤子的管理和传输

以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。     

Propagation soliton et auto-confinement de faisceaux laser par non linearité optique de kerr

An experimental demonstration is presented of the stable monomode self-trapping of laser beams with adequate shape and power when they are propagating through homogeneous transparent dielectrics whose refractive index exhibits fluctuations proportional to the local intensity. The field evolution in such material is governed by a nonlinear scalar wave equation, that possesses stable solutions called solitons. Those solutions correspond to the exact balance of the natural diffraction divergence of the beam by the convergence of the self-induced refractive index gradient.     

原子束在慢波场中的多普勒频移的观察

报道了在慢波场中原子波谱多普勒频移随微波慢波系数的变化，并讨论产生这种现象的原因，实验中观察到慢波场中的原子多普勒频移现象，给出了钠原子在慢小系数分别为５．２０和１０．６７情况下的微波波谱，证实了原子微波慢波波谱中多普勒频移正比于慢波系数。     

基于冲击波作用于光子晶体实现光学频率变换方法的分析

分析了光子晶体实现光学频率变化的方法。阐述了光子晶体光学频率变换的原理,用软件仿真了冲击波作用光子晶体的折射率变化和带隙变化,分析了冲击波速度和冲击波作用光子晶体时间的长短对光学频率变化的影响,结论表明,冲击波速度越大光学频率的变化量越大,冲击波作用光子晶体的时间越长光学频率的变化量越大。由于利用光子晶体的禁带特性,能够对落入光子晶体禁带中的光波实现全反射,故频率转换效率很高。此种方法在近几年发展起来的可调谐激光器有重要的应用,也是光子晶体一个新的研究领域。     

Analysis of the Knight shift for liquid alkali alloys

The Knight shift for binary alkali systems in the liquid phase is analyzed in terms of a simple augmented plane wave approximation (A.P.W.). A proper normalization of the electron wave functions combined with the concentration dependence of the Pauli susceptibility gives a reasonable prediction of the Knight shift of both components as a function of concentration.     

二维粗糙海面散射回波多普勒谱频移及展宽特征

基于二维线性海面模型及粗糙面电磁散射的一阶小斜率近似公式,研究了海面回波各阶多普勒谱的频移特性,得到了多普勒谱频移所对应的理论公式,与经典多普勒频移公式相比考虑到了风速、大尺度波浪轨道运动等因素对多普勒谱频移的影响;同时根据粗糙面的双尺度模型,基于多普勒谱频移的物理机理,给出了求解散射场多普勒谱展宽的理论公式.最后将理论公式计算所得结果与模拟结果及实测数据进行了比较,讨论了风速、入射波频率及入射角等因素对多普勒频移及多普勒谱展宽的影响.通过比较可以发现,给出的理论公式可以对多普勒谱频移和展宽进行一定程度的预测. 关键词： 粗糙海面 电磁散射 多普勒谱     

水在驻波振动体表面上的分布

首先，我们描述了水珠和干粉末在驻波推动作（钢条和金属环）表面上的艺定分布实验，发现水珠将处于波腹而干粉末则位于波书．其次，我们从普遍的驻波解出发，分析了在驻波振动作表面上的水珠和干粉末的受力情况，从而指出水珠的稳定平衡位置在驻波的波腹而干粉末的稳定平衡位置在驻波的波节，这一结论与实验结果完全一致。最后，我们的结论可以应用于环形驻波马达的转子自校正问题。     

Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking

The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in this case depending on the parameters of the cavity, the atom could be in stable equilibrium at the center of the cavity or shift towards its periphery: spontaneous breaking of spherical symmetry occurs. The phase diagram of the shift and the dependence of the shift value and the binding energy of the ground state of the atom on the cavity parameters are presented. At the same time, the deformation properties of the electron wave function (WF) for an asymmetric distortion are so nontrivial that a non-zero shift occurs even when an electron is repulsed from the cavity boundary.     

Modulational instability of optically induced nematicon propagation

We report the modulational instability （MI） analysis for the modulation equations governing the propagation of coherent polarized light through a nematic liquid crystal （NLC） slab, in the limit of low light intensity and local material response. The linear stability analysis of the nonlinear plane wave solutions is performed by considering both the wave vectors （k,l） of the basic states and wave vectors （K,L） of the perturbations as free parameters. We compute the MI gain, and the MI gain peak is reduced and the stable bandwidth is widened with the increase of the strength of the applied electric field. Further, we invoke the extended homogeneous balance method and Exp-function method aided with symbolic computation and obtain a series of periodic solitonic humps of nematicon profiles admitting the propagation of laser light in the NLC medium.     

The Gouy phase shift of the highly focused radially polarized beam

The Gouy phase shift in the focal field of high-NA focused radially polarized beam has been investigated in detail. Analytical expression for the Gouy phase shift can be derived using tilted wave interpretation, which provides a reasonable prediction compared to vectorial diffraction numerical simulation. Using this method, irregular wave spacing in the vicinity of the focus can be revealed.     

When is the wave function single-valued?

It is shown that single-valuedness of the wave function can be lost because of an external field approximation. The Aharonov-Bohm effect is studied in detail as an example of the problem. Specifically, it is shown that the solenoid (represented as a rotating, charged cylinder) has a wave function that undergoes a phase shift equal in magnitude, but with opposite sign, to the phase shift suffered by the electron's wave function when the electron passes the solenoid.     

Mean effects of turbulence on elliptic instability in fluids

Elliptic instability in fluids is discussed in the context of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model. This model preserves the Craik-Criminale (CC) family of solutions consisting of a columnar eddy and a Kelvin wave. The LANS-alpha model is shown to preserve elliptic instability. However, the model shifts the critical stability angle. This shift increases (decreases) the maximum growth rate for long (short) waves. It also introduces a band of stable CC solutions for short waves.