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得到了不可压缩理想霍尔磁流体方程组的平面波精确解,这些平面波是斜传播的左旋圆极化波或右旋圆极化波,并且涨落速度和涨落磁场通过波数联系起来。讨论了这些平面波解的叠加性质。当波的传播方向平行时,任意两支圆极化平面波都可以叠加;而当波的传播方向不平行时,只有极化方向相同,波数相同,且各自的旋度与自身都是同方向(或都是反方向)的两支圆极化平面波才可以叠加。     

激光在不均匀随机媒质中的传播——多重散射的m-n阶矩方程的解

本文给出了受到多重散射的激光,在波传播方向上的物理参数的涨落是不均匀的、而垂直于传播方向上的物理参数的涨落又是均匀的随机媒质中传播时,当波受到前向小角度散射时,具有不同波数不同位置的场的矩方程的解析解.同时讨论了方程的解在激光传播研究中的一些应用.     

神经元网络中局部同步引发的各种效应

在大脑皮层中,神经元大范围的同步放电可以引发癫痫,而癫痫发作期间可以自发出现螺旋波,大量神经元的同步放电与螺旋波自发产生之间的关系目前仍不清楚.本文通过增加水平长程连接构造了具有局域长程耦合区的二维神经元网络,采用Morris-Lecar神经元模型研究了具有多个长方形长程耦合区的神经元网络中波的传播,数值模拟结果表明:传播方向与长程耦合朝向平行的平面波和靶波经过长程耦合区会导致长程耦合区内的神经元同步激发,这种同步激发伴随一部分神经元延迟激发,而另一部分提前激发;当长程耦合区宽度超过临界宽度时,长程耦合区所有神经元延迟激发;当长程耦合区宽度超过最大导通宽度时,波将不能通过长程耦合区.当适当选择长方形长程耦合区的尺寸时,神经元同步激发可使网络出现波回传效应和具有波传播方向的选择性,而且这种波传播方向的选择性对神经元是否处于定态和耦合强度变化很敏感,以致高频平面波列可以部分通过宽度超过最大导通宽度的长程耦合区,因此可以通过对长程耦合区内的神经元施加微扰来控制低频波是否可以通过一定宽度的长程耦合区.对于适当选取的神经元网络结构,当平面波或靶波经过长程耦合区时,网络可自发出现自维持平面波、螺旋波和靶波等现象.本文对产生这些现象的物理机制作了分析.     

化学反应体系中涨落的时间空间关联(Ⅰ)——涨落、扩散和波

本文着重分析了如何描述化学反应体系中密度涨落的空间关联,对照反应扩散方程,我们在密度涨落分布函数所满足的Master方程中引入了扩散项或压力项,对无限介质,解Master方程,得到了一系列波,第一支波是与反应扩散方程的解一致,描述了平均密度起伏在空间的传播,在气体中就是声波,其它各支波,则描述了局部密度涨落高阶矩的变化在空间的传播(平均密度不改变),其实就是局部机率分布函数畸变后的传播过程,我们称之为涨落波,文中还讨论了如何求解线性初值问题。 关键词：     

化学反应体系中涨落的时间空间关联(Ⅰ) 涨落、扩散和波

本文着重分析了如何描述化学反应体系中密度涨落的空间关联,对照反应扩散方程,我们在密度涨落分布函数所满足的Master方程中引入了扩散项或压力项,对无限介质,解Master方程,得到了一系列波,第一支波是与反应扩散方程的解一致,描述了平均密度起伏在空间的传播,在气体中就是声波,其它各支波,则描述了局部密度涨落高阶矩的变化在空间的传播(平均密度不改变),其实就是局部机率分布函数畸变后的传播过程,我们称之为涨落波,文中还讨论了如何求解线性初值问题。     

矩形截面固体波导中弹性导波模式的板波叠加解

参照板中兰姆波模式的子波叠加解求解了矩形截面固体波导中弹性导波的模式。其中子波设定为横向满足自由边界反射条件、纵向波数分量相同的各板波模式。假设声场的完备性,利用子波模式的正交性,结合矩形截面的几何对称性可以得到4组独立导波特征方程用于频散曲线以及导波模式计算,其计算结果与有限元法计算结果相符。研究以解析模型表明:矩形截面固体波导中的导波是其内部以一定纵向波数分量斜向传播的板波模式在两个自由侧面上经过反复反射与模式转化后,横向耦合谐振而形成的。      

二维宽带相位梯度超表面设计及实验验证

针对圆极化波, 通过同极化反射超表面结构单元的空间排布, 设计实现了一种二维非色散高效相位梯度超表面. 同极化反射相位可以通过同极化反射超表面结构单元金属线的面内旋转来自由调控. 实现的相位梯度超表面可对左右旋入射波产生相反的相位梯度. 当线极化波入射到超表面上时, 反射波被分为两束向相反方向传播的圆极化波. 仿真了线极化波垂直入射时的反射功率密度谱, 仿真结果与理论上设计的异常反射方向一致. 制作了厚度为2 mm的超表面样品, 测试了其镜面反射率曲线. 实验结果表明, 线极化波垂直入射时, 超表面在9.5-19.0 GHz的镜面反射率降至-5 dB以下.     

泵浦光偏振对简并四波混频信号影响的实验研究

本文研究了Rb原子气室中泵浦光偏振对简并四波混频信号的影响.实验中,一束泵浦光和探针光沿相同方向传播进入Rb原子气室中,另一泵浦光沿反方向传播进入.通过改变泵浦光的偏振,观察四波混频信号的变化.实验结果表明:当两束泵浦光的偏振平行时,四波混频信号较强;当两束泵浦光的偏振相互垂直时,四波混频信号消失.理论分析表明泵浦光干涉导致的原子布居数差光栅是简并四波混频信号产生的原因.     

基于超表面的多波束多模态太赫兹涡旋波产生

太赫兹涡旋波束可以被用于高速通信及高分辨率成像,其产生方式近年来受到了越来越多的关注.本文提出了一种反射型超表面,它可以在太赫兹频段产生四种不同模态的涡旋波束.超表面单元结构基于几何相位原理,由三层结构组成,上下两层为金属结构,中间层为介质,其上层金属结构由圆环及椭圆贴片构成.利用几何相位对圆极化波的调控作用,可以实现由线极化波到圆极化波的分解,并实现对不同圆极化波的灵活调控.为了同时调控反射波的偏转方向,本文利用平面反射阵列原理来计算每个超表面单元所需的相位补偿.通过相位叠加原理,在不同传播方向的波束中叠加不同模态的轨道角动量,较好地实现了太赫兹频段复杂波束的调控效果.仿真及测试结果表明设计的超表面能够在太赫兹频段产生带有±1和±2模态的4个波束,在无线通信及高分辨率成像等方面有潜在应用价值.     

辐射场光子的涨落

化学势为零的光子数涨落问题是统计物理学中一个很有代表性的问题.用巨正则系综可以讨论粒子数的涨落,但讨论时化学势不能为零.用其他一些方法虽然可以很好地进行光子数涨落的讨论,但理论比较复杂.本文介绍的讨论光子数涨落的方法具有简明易懂的特点,可以在课堂上做适当地介绍. 按照电磁理论,空窖内的辐射场充满着满足边界条件的各种各样圆频率的单色平面波。具有一定波矢K和一定偏振方向的单色平面波的能量,可以看作等于同频率的简谐振子的能量.在量子力学中简谐振子的能量为: 整个辐射场的能量为各式各样单色平面波(即各种频率的谐振子)…     

Anisotropic gratings recorded from two circularly polarized coherent waves

A constant intensity, rectilinear light vibration, with spatially varying orientation, is obtained from superposition of two orthogonal circularly polarized waves propagating, in slightly different directions. Such an exposure on a photoanisotropic medium, prints a grating characterized only by spatial variations in the orientation of the induced optic axis. The diffraction properties of such a grating are investigated. It behaves as a uniformly transparent isotropic medium when illuminated by the same waves as during the recording process. Illumination by a circular wave, generates a transmitted and a single diffracted beam, while an incident elliptically polarized one would produce, apart from the central order, two diffracted beams with orthogonal circular polarizations.     

Transverse and longitudinal components of the propagating and evanescent waves associated to radially polarized nonparaxial fields

A comparison is established between the contributions of transverse and longitudinal components of both the propagating and the evanescent waves associated to freely propagating radially polarized nonparaxial beams. Attention is focused on those fields that remain radially polarized upon propagation. In terms of the plane-wave angular spectrum of these fields, analytical expressions are given for determining both the spatial shape of the above components and their relative weight integrated over the whole transverse plane. The results are applied to two kinds of doughnut-like beams with radial polarization, and we compare the behavior of such fields at two transverse planes.     

Behavior of propagating and evanescent components in azimuthally polarized non-paraxial fields

The contribution of the propagating and the evanescent waves associated with freely propagating non-paraxial light fields whose transverse component is azimuthally polarized at some plane is investigated. Analytic expressions are derived for describing both the spatial shape and the relative weight of the propagating and the evanescent components integrated over the transverse plane. The analysis is carried out within the framework of the plane-wave angular spectrum approach. These results are used to illustrate the behavior of a kind of donut-like beams with transverse azimuthal polarization at some plane.     

An electron in the field of two classical plane waves propagating in slightly different directions

Solutions of the Dirac and Klein-Gordon equations have been obtained for an electron moving in the field of two plane waves propagating in slightly different directions. The solutions were obtained as an expansion in terms of the small angle between the two waves. Terms linear in this angle were considered.     

Circular polarization converters based on bi-layered asymmetrical split ring metamaterials

In this paper, a kind of bi-layered asymmetrical split ring metamaterial was proposed as a circular polarization converter. Simulations and experiments at the microwave regime showed that the proposed structures can achieve the conversions from right-handed circularly polarized electromagnetic waves to left-handed ones and the reversed conversions in the opposite propagating direction. The linear to circular polarization transmission coefficients and the surface currents were investigated to understand the mechanism of the circular polarization conversions. Moreover, we optimized the proposed metamaterials by increasing the distance between the two metal layers. The proposed circular polarization converters have applications in microwave wave plates and metamaterial antennas.     

General representation of interference contrast formed by arbitrarily polarized waves and its application in wave design for holographic fabrication of photonic crystals

A general formula of interference contrast formed by two arbitrarily polarized elliptical waves propagating along arbitrary directions in three-dimensional (3-D) space is derived. From it a series of inferences for the interference of linear and circular waves including their different combinations are obtained. These formulae are used for polarization optimization in three and four noncoplanar beam interference for the fabrication of 3-D periodic microstructures. The numerical calculations show that the use of circular light can improve the uniform contrast considerably compared with the use of only linear light, and the use of elliptical light may make the contrast even higher.     

A phase sensitive optical rotation measurement in a scattered chiral medium using a Zeeman laser

A novel circular polarized optical heterodyne interferometer using a Zeeman laser to measure optical rotation both in nonscattered and scattered chiral medium is proposed. A pair of correlated orthogonal circular polarized light waves of different temporal frequency propagating in the chiral medium at different speed is studied. This results in phase retardation between circular polarized light waves of which the phase difference is proportional to the optical rotation angle of a linear polarized light in a chiral medium. In the mean time, two orthogonal circular polarized light waves can be treated as a circular polarized photon pair that is able to reduce the scattering effect in a scattered chiral medium. Then the optical rotation angle can be measured in the scattering medium. In addition, a common-path configuration with respect to circular polarized light waves immune the background noise. This further improves the sensitivity on optical rotation measurement based on phase difference detection.     

Rotation of a Fine Particle with Circularly Polarized Anti-Parallel Collinear Laser Beams

We have succeeded in the operation of rotating a fine particle which was held without mechanical contact by circularly polarized laser beams with opposite propagation directions. A polystyrene latex particle 11.9 μm in diameter deformed in a disk-like shape was dispersed in water, and was trapped using the anti-parallel collinear laser beams which were set up so that they had the circular polarization rotating in the same direction. It was observed that the trapped particle rotated in the same direction as the rotation of the circular polarization of light. Inversion of the rotational direction of the circular polarization of light reversed the direction of the rotation of the particle. Although the rotational speed of a particle varied significantly from particle to particle, it was found to be proportional to the laser beam intensity. A typical value for the rotational speed per beam intensity was 2.1 Hz/W.     

The use of polarized bounded beams to determine the groove direction of a surface corrugation at normal incidence,the generation of surface waves and the insonification at Bragg-angles

Zero order reflected sound from a singly corrugated interface between a solid and a liquid, insonified from the solid side by circular polarized shear waves, can become almost perfect linearly polarized in a direction parallel or perpendicular to the corrugations, depending on the frequency, and can therefore reveal the direction of the corrugations. When narrow bounded beams, formed by a summation of infinite plane waves, are diffracted at certain frequencies, depending on the angle of incidence, or vice versa, one can predict phenomena like backscattering at Bragg-angle incidence and also the creation of Scholte-Stoneley waves.