Generalized beams in ABCDGH systems

For a generalized beam at the source plane passing through co-located aperture and a propagation path consisting of an off-axis x-y asymmetric ABCDGH system, the receiver plane irradiance expression is derived using the Collins integral. A collection of source beam profiles that are obtainable from the generalized beam formulation are illustrated. Plots are given for viewing the progress of selected generalized beam types along the propagation axis, containing a single thin lens, co-centric and misaligned in the x-direction. The received power falling onto a finite aperture surface is calculated for various misalignment situations.     

离轴X波段五腔高增益速调管放大器

利用辛普森算法求解螺线管线圈内磁场分布,证明了离轴磁场能用于电子束的聚束。利用2维粒子模拟程序建立了X波段五腔高增益速调管放大器模型,整管模拟得到了频率9.45GHz、输出功率300MW、增益50.3dB和效率37.5%的微波输出。依此设计了X波段五腔高增益速调管放大器的三维模型,并将其分别放置在线圈中心轴和离轴54mm的位置进行模拟,模拟结果证明工作在离轴状态的器件同样可以进行微波放大。最后,对一个螺线管线圈内放置七个器件的状态进行了三维模拟,其合成功率输出可达2GW。     

An off-axis elliptical flat-topped beam and it’s propagation

A new kind of laser beam named off-axis elliptical flat-topped beam is proposed. This beam is expressed as a finite series of off-axis elliptical Gaussian beams with different beam parameters. Analytical propagation formulas for the off-axis elliptical flat-topped beam through aligned and misaligned optical systems are derived. As a numerical example, the propagation properties of the off-axis elliptical flat-topped beam in free space are calculated and discussed.     

Propagation dynamics of off-axis noncanonical vortices in a collimated Gaussian beam

It is widely accepted that an off-axis noncanonical vortex moves across the free-space diffracting Gaussian beam without rotation. But our analysis shows that the vortex swirls a while before it approaches infinite. By neglecting the divergence of the host beam, we focus on this rotation characteristics of the vortices in linear homogeneous media. For the symmetrical host beam, it is found that the vortex moves along an elliptical trajectory, while the topological charge and the angular momentum of the vortex core relative to the beam axis are conserved. For the asymmetrical host beam, the vortex trajectory is rather complicated, since the noncanonical parameter varies as the light propagates, resulting in topological charge inversion. But we find that the vortices are always confined in a rectangular area, and the rotation direction is determined by the topological charge.     

共轴双涡旋声束形成离轴多涡旋的定位

涡旋声束具有螺旋的相位波前,中轴线上形成声强为零的相位奇点,其所携带的轨道角动量在粒子操控领域有着广阔的应用前景。传统声涡旋只在传播轴线上形成一个拓扑荷可控的涡旋波束,这限制了声涡旋的应用灵活性。基于环形点声源阵列和相位编码技术,利用奇偶声源分别产生共轴双涡旋声束的声场叠加,在传播截面上形成了具有中心涡旋和子涡旋的离轴多涡旋声场;研究了双涡旋拓扑参数对离轴涡旋的个数、位置及拓扑荷的影响,基于声涡旋的径向声压和相位分布,确定了离轴涡旋的离轴半径,并结合声源位置推导子涡旋中心方位角的计算公式,实现离轴涡旋的精确定位。本研究突破了沿轴分布的涡旋声场只能形成单点涡旋势阱的操控局限,为利用离轴多涡旋实现多点粒子捕获提供了理论依据,促进涡旋声场在精确粒子操控和传输方面的高效应用。      

Binding energy and photoionization cross section of hydrogen-like donor impurity in quantum well-wire in electric and magnetic fields

The effect of uniform electric and magnetic fields on binding energy and photoionization cross-section of an off-axis hydrogen-like donor impurity in a QWW, approximated by a cylindrical well of finite depth, is investigated within the framework of variational approach. The dependencies of the binding energy and photoionization cross-section on electric field strength, magnetic field induction, wire radius and impurity position are obtained. The cases when the polarization vector of incident radiation is parallel and perpendicular to the wire axis are both discussed.     

Diffraction of terahertz waves after passing through a Fresnel lens

The spatiotemporal and spectral characteristics of ultrawide-band terahertz pulses after passing through a Fresnel lens are studied by using the scalar diffraction theory. The simulation shows that the transmitted terahertz waveforms compress with increasing propagation distance, and the multi-frequency focusing phenomenon at different focal points is observed. Additionally, the distribution of terahertz fields in a plane perpendicular to the axis is also discussed, and it is found that the diffraction not only induces focusing on-axis but also inhibits focusing at off-axis positions. Therefore, the Fresnel lens may be a useful alternative approach to being a terahertz filter. Moreover, the terahertz pulses travelling as a basic mode of a Gaussian beam are discussed in detail.     

离轴椭圆矢量光场传输中的光斑演变

对离轴椭圆矢量光场的传输特性进行了研究. 推导出离轴椭圆矢量光场在自由空间传输电场和光强的解析表达式. 数值分析结果表明, 离轴高阶圆柱矢量光场具有非对称的光强分布, 传输后的光强分布由传输距离、错位位移、椭圆率决定. 在传输过程中除了光斑会展宽外, 光场中的暗斑会逐渐消失, 最终趋于一种稳态光强分布; 相对于初入射平面的椭圆光斑, 稳态椭圆光斑长短轴互换了. 研究结果有助于深入理解离轴情况下椭圆矢量光场的动态传输特性, 同时可以指导实际椭圆矢量光场的校准.     

Calculation of force exerted by the Ohmic plasma channel on a relativistic electron beam propagating in a dense gas-plasma medium

The problem on the interaction of an Ohmic plasma channel displaced in the transverse direction with a paraxial azimuthally symmetric relativistic electron beam propagating in a dense gas-plasma medium is considered. The formula for determining the force of the beam-plasma interaction is derived using the “hard” model of the beam and the channel in the case of an arbitrary displacement of the symmetry axis of the plasma channel relative to the corresponding axis of the beam. The forces are calculated in the Bennett and Gauss approximations for the radial profiles of the beam and the channel.     

The TEM101 mode laser beam—A powerful tool for optical levitation of various types of spheres

We point out in this paper that a TEM¹₀₁ mode laser beam is convenient to stably levitate either solid or hollow dielectric spheres or metallic ones. Except a sufficient incident flux, there is no stability condition required to levitate solid transparent spheres having a refractive index larger than the one of the surrounding medium. According to the beam and sphere diameters, the equilibrium position will be centered on the beam axis or off-axis. In the case of hollow dielectric or metallic spheres, the lateral stability requires specific conditions on sphere and beam diameters. These conditions are discussed and then experimentally shown by performing optical levitation of these various kinds of spheres either in vertical or in horizontal beams.     

直线感应加速腔横向阻抗的测量

 采用束流模拟法测量强流直线感应加速器加速腔横向阻抗,给出了加速腔的测量结果。采用了时域变换法提高不匹配情况下测量精度的方法,对引起测量误差的 原因进行了分析。这有助于深入理解强流加速腔内的物理过程,改进加速腔设计,提高 直线感应加速器整机性能     

Observation and modelling of magnetic vortex core structure in Permalloy nanoparticles

We use an approximate micromagnetic model, based on geometrical simplifications of the problem, to describe the vortex core structure observed in spherical Permalloy nanoparticles using off-axis electron holography. The magnetisation distribution inside the vortex core is directly calculated by minimising the micromagnetic energy functional and is compared with the experimental results. The symmetry constraints underlying the model are discussed envisaging possible generalisation to the case of vortex cores with structure strongly dependent on the coordinate directed along the axis of the vortex. Moreover the many-body effect associated with the presence of two small satellite particles is described by rescaling the size of the particle.     

Study on differential algebraic method for electron optical properties of wide electron beams in immersion electrostatic-magnetic lenses

Differential algebraic method for calculation of electron optical properties is extended to wide electron beams in combined immersion electrostatic-magnetic lenses, based on Taylor series expansion of the differential algebraic data structure of wide electron beam focusing systems. Higher order aberrations referred to off-axis central trajectories are calculated and this makes the evaluation of wide electron beam focusing properties much simplified with high-enough precision. A program was written, and a specific combined immersion electrostatic-magnetic lens is calculated as an example. Computed results show that the second aperture aberrations referred to off-axis central trajectories of the system of the primary one, whereas the third- and over third-order ones only play a secondary role.     

Nonparaxial propagation of a vectorial apertured off-axis Lorentz beam

Based on the vectorial Rayleigh--Sommerfeld integral formula and the complex Gaussian expansion of the hard-edge aperture function, an analytical propagation expression for a nonparaxial vectorial off-axis Lorentz beam passing through a rectangular aperture is derived. The unapertured case, the far field expression and the scalar paraxial result are also presented as special cases of the general formulae, respectively. Some numerical examples are also given to show the propagation characteristics of a nonparaxial vectorial off-axis Lorentz beam through a rectangular aperture. It is indicated that the f parameter, the off-axis displacement and the truncation parameter all play an important role in determining nonparaxial propagation behaviour.     

Equilibrium and stability of off-axis periodically focused particle beams

A general equation for the centroid motion of free, continuous, intense beams propagating off axis in solenoidal periodic focusing fields is derived. The centroid equation is found to be independent of the specific beam distribution and may exhibit unstable solutions. A new Vlasov equilibrium for off-axis beam propagation is also obtained. The properties of the equilibrium and the relevance of centroid motion to beam confinement are discussed.     

矢量非傍轴离轴高斯光束的传输

基于矢量瑞利-索末菲衍射积分公式，得出了波动方程的一个解，它代表矢量非傍轴离轴高斯光束，其在自由空间的传输方程表示为解析的结果.矢量非傍轴离轴高斯光束的轴上和远场公式，矢量非傍轴高斯光束的传输方程，以及傍轴的结果都可作为一般表达式的特例而得出.研究表明，f参数对光束的非傍轴特性有重要影响，而离心参数也影响非傍轴行为.与共轴情况不同的是，对离轴情况，在y方向存在场的纵向分量. 关键词： 激光光学 矢量非傍轴离轴高斯光束 瑞利-索末菲衍射积分 f参数 离轴参数     

Optical levitation of absorbing particles with a nominally Gaussian laser beam

We use a Gaussian laser beam to study the levitation of absorbing Mie particles. Several metal oxide particles are stably levitated, and their movement over time is recorded. Our studies show that the position of each particle is highly dependent on the other particles' locations. The observations are explained by the phenomenon of thermal creep. The increased local pressure that is due to a temperature gradient along the particle's surface induces levitation. The particles rest close to minima in the intensity distribution near the optical axis. An experiment is suggested that can be used to locate these minima in a laser beam.     

Off-axis sonar beam pattern of free-ranging finless porpoises measured by a stereo pulse event data logger

The off-axis sonar beam patterns of eight free-ranging finless porpoises were measured using attached data logger systems. The transmitted sound pressure level at each beam angle was calculated from the animal's body angle, the water surface echo level, and the swimming depth. The beam pattern of the off-axis signals between 45 degrees and 115 degrees (where 0 degrees corresponds to the on-axis direction) was nearly constant. The sound pressure level of the off-axis signals reached 162 dB re 1 microPa peak-to-peak. The surface echo level received at the animal was over 140 dB, much higher than the auditory threshold level of small odontocetes. Finless porpoises are estimated to be able to receive the surface echoes of off-axis signals even at 50-m depth. Shallow water systems (less than 50-m depth) are the dominant habitat of both oceanic and freshwater populations of this species. Surface echoes may provide porpoises not only with diving depth information but also with information about surface direction and location of obstacles (including prey items) outside the on-axis sector of the sonar beam.     

Interaction of the vortex and edge dislocation embedded in a cosh-Gaussian beam

The interaction of the vortex and edge dislocation embedded in a cosh-Gaussion (ChG) beam is studied, where the both dislocations are on-axis, off-axis, or one is on-(off-) axis. It is shown that by varying a beam parameter of the ChG background beam or in the free-space propagation, the break-up of the edge dislocation and the motion, creation and annihilation of vortices may take place. In the vortex evolution process the topological charge is not conserved in general. The results are illustrated numerically and compared with the previous work.     

天文光纤机械扰模器调制环形光场的实验研究

光纤入射光束的角度和位置的变化对光纤出射光束的远场光强分布有较大影响。通过分析光纤出射光场的光强分布,研究了斜光束的偏轴角对光纤出射光场的影响。光纤耦合理论说明光纤的宏弯曲会使光纤内部模式相互耦合,根据这一原理设计一种能使光纤宏弯曲并以此来改善光纤出射场分布的机械扰模器。在实验中,对不同偏轴角入射及处于不同扰模程度的光斑进行中值滤波、高斯拟合等处理,得到光斑的径向光强分布曲线、高斯拟合度、不同出射焦比范围的能量变化等参数,以此分析机械扰模器的扰模效果。