一对静止电荷的“佯谬”

一对静止电荷之间的库仑力,是沿联线方向的.从另一“运动”参照系来看,每个电荷除受电场力作用外,还受到磁场力作用,其合力就不再沿它们联线方向了.根据经典理论,它们将会受到电磁场的力矩作用,并且会统质心“旋转”起来.然而从“静止”参照系或角动量守恒来看,“旋转”是不可能的.利用相对论电磁学和力学观点,就可以解决这个“佯谬”问题.一“运动”参照系中的电磁场 在“静止”参照系S中,有两个静止电荷 ql和 q2,如图一所示.另有一“运动”参照系S′,以v速运动.固定在两参照系的空间坐标系,分别为(x-y-z)和(。’,/,Z’).同时取“出/和“…     

超短强激光脉冲驱动等离子体波加速电子方案

随着超短脉冲激光技术的发展, 人们可以在台面尺度获得光强超过10¹⁸W/cm²、脉宽小于100fs的超短脉冲激光.超短脉冲激光很容易把静止的电子加速到兆电子伏的能量. 而更重要的是超短激光脉冲可以通过其有质动力激发大振幅的等离子体波(称为激光尾波场), 后者可以在毫米空间尺度把电子加速到上百兆电子伏的能量.文章将介绍激光尾波场加速电子的物理机制和方案、这个领域的最新进展、以及目前存在的问题.     

激光等离子体中调制的光电自生磁场

本文研究了激光等离子体中与光电效应相联系的自生磁场,在s偏振光斜入射到静止等温等离子体的情况下,得到了时间上和空间上调制的自生磁场的解析解.     

带电粒子沟道辐射作为γ-激光的可能性

将沟道辐射与自由电子激光进行类比,讨论了电子轴沟道辐射作为γ激光的可能性.引入等效磁场描述电子的运动行为,并通过等效磁场与辐射场相互作用描述了电子的纵向运动,导出了系统的摆方程和能量增益,得到了与自由电子激光完全类似的结果.     

紧聚焦的飞秒激光脉冲在真空中对电子的加速

研究了紧聚焦的圆偏振飞秒相对论高斯激光脉冲与电子的相互作用，提出了一种激光加速电子的新机制.利用束腰小、强度大的激光脉冲上升沿加速电子，束腰大、强度小的脉冲下降沿减速电子，当光脉冲和电子分离时，电子获得了能量增益.研究发现，初始静止的电子与强度高于10¹⁹Wμm^{2/cm2的光脉冲作用以后，可以获得MeV量级的能量.初始位于焦点附近的电子被加速的效果较好，而远离焦点的电子几乎不能获得能量增益. 关键词： 电子加速 能量增益 高斯脉冲 束腰}     

圆偏振强激光场下等离子体动力学方程及输运

将Ｆｏｋｋｅｒ－Ｐｌａｎｃｋ方程转换到电子在激光场中振荡的坐标中，得到了光场作用下的电子动力学方程；给出了圆偏振激光场作用下的电子－离子、电子－电子碰撞项；在不同的场强区域讨论了等离子体热电输运．研究表明，当电子在激光场的颤动速度接近或者大于其热运动速度时，与没有激光场情况相比，等离子体的热电输运减小很多． 关键词：     

激光等离子体相互作用的受激拉曼散射饱和效应

在激光等离子体相互作用过程中,受激拉曼散射（SRS）会通过Langmuir波衰减不稳定性（LDI）和电子俘获两种机理饱和.文章给出均匀一维等离子体和低强度非相对论激光作用中,LDI和电子俘获两种机理下的SRS饱和时间的解析表达式.SRS饱和时间与入射激光强度,电子密度,电子温度,初始电子密度微扰等参数有关.解析理论计算得到了与模拟和实验相符的结果. 关键词： 受激拉曼散射 饱和 Langmuir波衰变不稳定性（LDI） 电子俘获     

锥形光场对电子的加速效应

采用解析计算和数值模拟研究了一种径向极化轴对称激光场对电子的加速效应.讨论了与电子加速有关的定标规律及电子束在光场中的传输特性和束流品质.     

洛仑兹变换的一种推导

如图一,oxyz为静止的参照系,o’x’y’z’为相对于oxyz参照系沿x轴正向以匀速率υ宜线运动的参照系.o’x’为一固定在o’x’y’z’中的物体,在相对于物体静止的参照系o’x’y’z’中测得其长度为x’,在相对于物体运动的参照系oxyz中测得其长度为x-υt.由于是在不同的参照系中测量的,根据相对论的时空概念,其结果是不相同的.它们之间已不再是经典的伽里略变换关系x’=x-υt,而应当是另一种关系.由于我们所考察的是彼此作匀速直线运动的惯性系之间的变换关系,这种关系只能是线性关系,亦即x’和x-υt之间只能相差一个比例常数,将常数定作k,则有…     

基于激光尾场加速的自反射式全光汤姆孙散射的参数优化

基于激光尾场加速的全光汤姆孙散射能够提供高质量X射线束并大大减小装置的尺寸.与分光式相比,自反射式的构架可以降低实验的时空同步难度,但是由于激光尾场电子加速和汤姆孙散射过程耦合, X射线优化难度大,目前缺乏参数优化的相关报道.本文用数值模拟修正解析理论的方法,定量分析了激光尾场电子加速和汤姆孙散射过程中激光和电子束的焦斑、脉宽、能量等参数变化情况,并给出了激光在等离子体镜上的反射率,从而实现了用解析公式计算而非数值模拟跟踪参数变化,在保证精度的同时节约了计算时间.另外,利用修正后的公式优化了给定激光条件下的自反射式全光汤姆孙散射X射线,通过改变等离子体密度和等离子体镜位置这两个参数给出了最优X射线亮度和光子产额,该方法为将来结合人工智能优化控制全光汤姆孙散射光源提供了理论基础.     

Exact nondipole Kramers-Henneberger form of the light-atom hamiltonian: an application to atomic stabilization and photoelectron energy spectra

The exact nondipole minimal-coupling Hamiltonian for an atom interacting with an explicitly time- and space-dependent laser field is transformed into the rest frame of a classical free electron in the laser field, i.e., into the Kramers-Henneberger frame. The new form of the Hamiltonian is used to study nondipole effects in the high-intensity, high-frequency regime. Fully three-dimensional nondipole ab initio wave packet calculations show that the ionization probability may decrease for increasing field strength. We identify a unique signature for the onset of this dynamical stabilization effect in the photoelectron spectrum.     

The polarization effect of a laser in multiphoton Compton scattering

The multiphoton Compton scattering in a high-intensity laser beam is studied by using the laser-dressed quantum electrodynamics(QED) method, which is a non-perturbative theory for the interaction between a plane electromagnetic field and a charged particle. In order to analyze in the real experimental condition, a Lorentz transformation for the cross section of this process is derived between the laboratory frame and the initial rest frame of electrons. The energy of the scattered photon is analyzed, as well as the cross sections for different laser intensities and polarizations and different electron velocities. The angular distribution of the emitted photon is investigated in a special velocity of the electron, in which for a fixed number of absorbed photons, the electron energy will not change after the scattering in the lab frame.We obtain the conclusion that higher laser intensities suppress few-laser-photon absorption and enhance more-laser-photon absorption. A comparison between different polarizations is also made, and we find that the linearly polarized laser is more suitable to generate nonlinear Compton scattering.     

Signatures of the Unruh effect via high-power, short-pulse lasers

The ultra-high fields of high-power short-pulse lasers are expected to contribute to understanding fundamental properties of the quantum vacuum and quantum theory in very strong fields. For example, the neutral QED vacuum breaks down at the Schwinger field strength of 1.3×10¹⁸ V/m, where a virtual e⁺e^- pair gains its rest mass energy over a Compton wavelength and materializes as a real pair. At such an ultra-high field strength, an electron experiences an acceleration of a_S=2×10²⁸g and hence fundamental phenomena such as the long predicted Unruh effect start to play a role. The Unruh effect implies that the accelerated electron experiences the vacuum as a thermal bath with the Unruh temperature. In its accelerated frame the electron scatters photons off the thermal bath, corresponding to the emission of an entangled pair of photons in the laboratory frame. While it remains an experimental challenge to reach the critical Schwinger field strength within the immediate future even in view of the enormous thrust in high-power laser developments in recent years, the near-future laser technology may allow to probe the signatures of the Unruh effect mentioned above. Using a laser-accelerated electron beam (γ～300) and a counter-propagating laser beam acting as optical undulator should allow to create entangled Unruh photon pairs (i.e., signatures of the Unruh effect) with energies of the order of several hundred keV. An even substantially improved experimental scenario can be realized by using a brilliant 20 keV photon beam as X-ray undulator together with a low-energy (γ≈2) electron beam. In this case the separation of the Unruh photon pairs from background originating from linearly accelerated electrons (classical Larmor radiation) is significantly improved. Detection of the Unruh photons may be envisaged by Compton polarimetry in a 2D-segmented position-sensitive germanium detector.     

Excitation of surface plasma waves over metallic surfaces by lasersand electron beams

A laser incident on a metal film (deposited on a glass substrate) from the glass side at a specific angle of incidence, excites a surface plasma wave (SPW) at the metal-free space interface. The ratio of the SPW field to the laser field increases with the laser spot size b attaining a value much greater than one at b>exp(2wα/c) where a is the film thickness and ω is the laser frequency. The SPW (ω, k_z,) can also he excited by a relativistic electron beam, propagating parallel to the interface in the free space region, via Cerenkov interaction when beam energy ϵb=(|ϵ|-1)mc² where ϵ is the effective metal permittivity, and mc² is the electron rest mass energy. When the surface has a ripple of wave number k₀, the SPW (ω, k_zz) can be excited at lower beam energy via sideband coupling, ω=(k_zz +k₀)v_b where v_bzˆ is the beam velocity. In both cases, however, the positioning of the beam in the close proximity of the interface is required. The scheme is useful for the generation of wavelengths longer than 1 μm     

Charged particle motion in the field of a short laser pulse of relativistic intensity

The electron motion in the field of the laser radiation of relativistic intensity was analyzed using the Lorentz force. In the laser pulse field, an initially rest electron does not move along trajectories such as “figure eight”. At relativisitic intensities, the electron oscillations in an optical field are significantly anharmonic.     

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根据狭义相对性原理,应用Lorentz变换法则,从相对运动媒质静止参考系中的有关结论,获取了实验室参考系中所需结果。通过证明平面波相位是Lorentz不变量,指出实验室参考系中平面波解的存在性。由Lorentz变换导出了实验室参考系中平面波色散关系表示式,据此给出运动媒质的波动方程。由Lorentz变换导出运动媒质中平面波Maxwell方程。基于这些结果,应用Lorentz变换获得了平面波从自由空间垂直入射到各向同性运动等离子体半空间时反射波与透射波的有关特性。     

Contrasting Classical and Quantum Vacuum States in Non-inertial Frames

Classical electron theory with classical electromagnetic zero-point radiation (stochastic electrodynamics) is the classical theory which most closely approximates quantum electrodynamics. Indeed, in inertial frames, there is a general connection between classical field theories with classical zero-point radiation and quantum field theories. However, this connection does not extend to noninertial frames where the time parameter is not a geodesic coordinate. Quantum field theory applies the canonical quantization procedure (depending on the local time coordinate) to a mirror-walled box, and, in general, each non-inertial coordinate frame has its own vacuum state. In particular, there is a distinction between the “Minkowski vacuum” for a box at rest in an inertial frame and a “Rindler vacuum” for an accelerating box which has fixed spatial coordinates in an (accelerating) Rindler frame. In complete contrast, the spectrum of random classical zero-point radiation is based upon symmetry principles of relativistic spacetime; in empty space, the correlation functions depend upon only the geodesic separations (and their coordinate derivatives) between the spacetime points. The behavior of classical zero-point radiation in a noninertial frame is found by tensor transformations and still depends only upon the geodesic separations, now expressed in the non-inertial coordinates. It makes no difference whether a box of classical zero-point radiation is gradually or suddenly set into uniform acceleration; the radiation in the interior retains the same correlation function except for small end-point (Casimir) corrections. Thus in classical theory where zero-point radiation is defined in terms of geodesic separations, there is nothing physically comparable to the quantum distinction between the Minkowski and Rindler vacuum states. It is also noted that relativistic classical systems with internal potential energy must be spatially extended and can not be point systems. The classical analysis gives no grounds for the “heating effects of acceleration through the vacuum” which appear in the literature of quantum field theory. Thus this distinction provides (in principle) an experimental test to distinguish the two theories.     

A Rotating Quantum Vacuum

We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity around the z axis of an inertial frame. Assuming this frame to be a Lorentz one, we second quantize a free massless scalar field in the rotating frame and obtain that creation-annihilation operators of the field are not the same as those of an inertial frame. This leads to a new vacuum state—a rotating vacuum. After this, introducing an apparatus device coupled linearly with the field, we obtain that there is a strong correlation between the number of Trocheries-Takeno particles (in a given state) obtained via canonical quantization and the response function of the rotating detector. Finally, we analyze polarization effects in circular accelerators in the proper frame of the electron, making a connection with the inertial frame point of view.     

Equations for pulse propagation in a free electron laser

The equations for pulse propagation in a free electron laser are derived. The equations are valid in a reference frame, moving with a relativistic velocity with respect to the laboratory frame, chosen in such a way that the carrier frequency of the pulse equals the pseudoradiation (wiggler) field frequency. In this reference frame the equations assume a simple non relativistic form.     

The reflectivity of relativistic ultra-thin electron layers

The coherent reflectivity of a dense, relativistic, ultra-thin electron layer is derived analytically for an obliquely incident probe beam. Results are obtained by two-fold Lorentz transformation. For the analytical treatment, a plane uniform electron layer is considered. All electrons move with uniform velocity under an angle to the normal direction of the plane; such electron motion corresponds to laser acceleration by direct action of the laser fields, as it is described in a companion paper [Eur. Phys. J. D 55, 433 (2009)]. Electron density is chosen high enough to ensure that many electrons reside in a volume λ_R ³, where λ_R is the wavelength of the reflected light in the rest frame of the layer. Under these conditions, the probe light is back-scattered coherently and is directed close to the layer normal rather than the direction of electron velocity. An important consequence is that the Doppler shift is governed by γ_x=(1-(V_x/c)²)^-1/2 derived from the electron velocity component V_x in normal direction rather than the full γ-factor of the layer electrons.