Transition radiation of a charged particle crossing the waveguide filled with a dispersive dielectric medium perpendicularly to the waveguide axis

The theory of charged particle transition radiation is developed for the case when the particle crosses the waveguide, which is filled with a piecewise-homogeneous dielectric, perpendicularly to the waveguide axis. The cases where the charged particle is flying between two dispersive plates and between two thin impedance films are considered.     

Broadband emission from a relativistic electron bunch in a semi-infinite waveguide

A study is made of the excitation of a transition radiation pulse during the injection of a charged particle bunch through the end metal wall into a semi-infinite cylindrical waveguide. Exact analytic expressions for the fields of a thin ring-shaped bunch are obtained in terms of the Lommel functions of two variables. The energy efficiency, power, and spectrum of radiation emitted from a finite-size charged bunch in a vacuum waveguide are calculated numerically with allowance for the multimode nature of the excited field. It is shown that, under certain conditions, the bunch can generate a short, high-intensity electromagnetic pulse with a broad frequency spectrum. The effect of various parameters of the charged bunch-waveguide system (such as the bunch current, bunch duration, and waveguide radius) on the generation efficiency of a transition radiation pulse is investigated.     

Polarization Characteristics of Diffraction Radiation

Polarization characteristics of diffraction radiation generated by charged particles moving close to a tilted conducting half-plane or passing through a slit are studied. Unlike the linearly polarized transition radiation, the diffraction radiation is shown to possess elliptical polarization. The dependence of three Stokes parameters of diffraction radiation on the distance to the slit center is analyzed for the case of a particle passing through a slit. A method for determining the transverse beam size while measuring the diffraction radiation polarization is proposed.     

Smith-Purcell radiation in the “pre-wave” zone

A model is proposed for calculating the angular distributions of the intensity of resonant diffraction radiation generated by a charged particle moving near a plane conducting periodic structure (Smith-Purcell radiation) with allowance for the effect of the so-called pre-wave zone. It is shown that the criterion of the location of a detector in the pre-wave zone for this kind of radiation in the relativistic case is determined by the geometric sizes of the grating and is almost independent of the Lorentz factor of the particle. The characteristics of the radiation in the pre-wave zone are calculated by numerical integration over the grating surface. It is shown that the line of Smith-Purcell radiation is broadened in this case, whereas the results of the calculations for the “wave” zone are in satisfactory agreement with the known analytical model of the resonant diffraction radiation.     

Transient radiation of particles in dihedral and trihedral angles

The image method is used for determining the field of transient radiation emitted by a charged particle intersecting a dihedral angle formed by ideally conducting charged planes. The spectral-angular distributions of radiation intensity in a dihedral angle with different corner angles are calculated. The effect of the direction of motion of the particle and of the position of the point at which the particle intersects the plane on radiation parameters is considered. Transient radiation distributions in a trihedral angle are also obtained.     

Intensity of radiation of charged particles passing through crystals

We have calculated the intensity of radiation of a relativistic charged particle moving in a crystalline medium, taking into account the interaction of the charge with the crystal as well as with the radiation. Various modifications to the usual Cerenkov radiation are discussed and under certain conditions enhancement occurs.     

弯轨Čerenkov辐射计算中的稳相法

从介质中沿弯曲轨道运动的带电粒子辐射的频谱角分布公式出发, 分析了粒子速度大于介质中的光速时, 稳相点在?erenkov效应中所起的关键作用, 并给出了通过在稳相点附近做渐近展开来计算弯轨?erenkov辐射的稳相法. 运用稳相法, 计算了同步?erenkov辐射在粒子轨道平面附近以及在临界角附近的频谱角分布. 计算结果表明, 同步?erenkov辐射频谱的特征依赖于观测方向附近对应的稳相点性状, 特别是在较大的临界角附近的频谱与小角度近似时很不相同. 关键词： ?erenkov效应 稳相点 稳相法 同步?erenkov辐射     

Features of transition and Cherenkov radiations and the correlation between them

It is shown that transition radiation arising at the boundary of two media is being emitted as a Cherenkov one, if the phase velocity of transition radiation waves in the medium of transition radiation propagation becomes equal to the velocity of the moving radiating particle (the necessary condition for the Cherenkov radiation). The proof of this statement is based on the analysis of the transition radiation formation zone, which may become large enough and provide interference between the field of transition radiation and the own Coulomb field of the moving particle, in case when the Cherenkov radiation condition is fulfilled. As a result, the transition radiation field transforms into the Cherenkov field. The problem is considered for cases of both a waveguide and free space.     

A generalization of the method of enclosing surfaces in classical radiation theory

The method of enclosing surfaces in classical radiation theory is generalized to the case of a charged particle moving in a transparent isotropic dispersive medium. The synchrotron and ondulator radiation problems are discussed, and expressions are derived and analyzed for the angular-spectral distribution of the radiation power in these cases.     

正弦平方势与小振幅近似下的弯晶沟道辐射

在理想情况下和经典力学框架内,引入正弦平方势,把粒子在弯晶中的运动方程化为具有外力矩的摆方程。并对系统的相平面特征进行了数值分析。在小振幅近似下,把粒子运动方程化为具有硬特性的弹簧-振子系统,用Jacobian椭圆函数和椭圆积分解析地给出系统的解和粒子运动周期。讨论了弯晶沟道辐射频率、无量纲偏转角和辐射谱的一般特征。指出利用沟道辐射作为激光的可能性。以正电子在碳单晶中沟道辐射为例进行了具体计算,得到了与其他工作基本一致的结果。     

Calculation of polarized effects in the theory of transition radiation

The problem concerned with the transition radiation emitted by a current-carrying, charged cluster, incident normal to a plane-parallel ferrodielectric plate is solved. Expressions for the radiation field in front of and behind the plate are obtained and the radiation energy is calculated using the method of stationary phase. Polarization effects are calculated. It is shown that radiation from the object under consideration at a frequency Ω into an element of solid angle dΩ is, generally speaking, completely elliptically polarized. The fact that the radiation is linearly polarized at large distances from the plate, intercepted normally by a point charge, is verified. In the nonrelativistic limit, the equations for the radiation energy are analyzed for the case of a thin plate (nΩa/c ? 1).     

Spectral method in axial channeling theory

The energy quantization of transverse particle motion in continuous potentials of atomic chains and planes can occur when fast charged particles travel in crystals. In the proposed paper, the energy levels of electrons moving in the mode of axial channeling in a system of parallel atomic chains have been found (Si crystal [110] chains have been used as an example). The energy eigenvalues were determined numerically using the so-called spectral method, which shows itself to good advantage in the problem of the plane channeling of charged particles in crystals.     

Bipolar charging of dust particles under ultraviolet radiation

The photoemission charging of dust particles under ultraviolet radiation from a xenon lamp has been investigated. The velocities of yttrium dust particles with a work function of 3.3 eV and their charges have been determined experimentally; the latter are about 400–500 and about 100 elementary charges per micron of radius for the positively and negatively charged fractions, respectively. The dust particle charging and the dust cloud evolution in a photoemission cell after exposure to an ultraviolet radiation source under the applied voltage have been simulated numerically. The photoemission charging of dust particles has been calculated on the basis of nonlocal and local charging models. Only unipolar particle charging is shown to take place in a system of polydisperse dust particles with the same photoemission efficiency. It has been established that bipolar charging is possible in the case of monodisperse particles with different quantum efficiencies. Polydispersity in this case facilitates the appearance of oppositely charged particles in a photoemission plasma.     

Spatial coherence in the transition radiation spectrum

The formal expression of the spectral distribution of the transition radiation intensity will be here derived in the case of a relativistic three-dimensional charged beam. Charged beams with a particle density such as is typically encountered in a particle accelerator will be considered. In particular, a sufficiently high particle density will be supposed so that a continuous spatial distribution function can be reliably attributed to the charged bunch. The formula of the spectral distribution of the transition radiation intensity originated by a relativistic three-dimensional charged beam - already presented in a previous work - will be here submitted to a formal check and interpreted in the physical consequences. The present work contains an additional mathematical derivation of the radiation energy spectrum consisting in a different method to implement the continuous limit in the distribution function of the particle coordinates. In the former derivation of the formula, the average operation with respect to the continuous distribution function of the particle coordinates was applied to the radiation intensity of a N electron bunch. In the present one, it is applied to the radiation electric field of a N electron bunch. The comparison of the two alternative but in any case equivalent formal routes to the spectral distribution of the transition radiation intensity will offer the possibility to directly cross-check the mathematical self-consistency of the presented results within the limits of applicability of the continuous limit approximation. According to such results, both the flux and the angular distribution of the photons emitted at a given wavelength - even shorter than the longitudinal length of the bunch - are expected to undergo a modification as the beam transverse size is varied with respect to the observed wavelength. As a function of the beam transverse size the spatial coherence degree of the transition radiation source is thus expected to change. The physical consistency of such an effect occurring in the transition radiation emission by a charged beam can be argued on the basis of a compatibility criterion with other similar relativistic electromagnetic radiative phenomena and interpreted in the framework of the temporal causality and the Huygens-Fresnel principles. Finally, the aspect of the applicability of the continuous limit approximation to the case of a charged beam in a particle accelerator is treated in terms of a practical quantitative criterion.     

正电子面沟道辐射的非线性特征

经典物理学指出,在电磁场中作加速运动的带电粒子将不断向外辐射能量.在晶体沟道中运动的带电粒子也不例外,晶格场可以使带电粒子的辐射能量达到很高.对于10MeV的正电子,辐射能量可达keV量级.粒子在沟道中的运动行为决定于粒子晶体的相互作用势,常用的相互作用势有Lindhard势、Moliere势和正弦平方势.由于粒子在沟道中的运动行为十分类似于震荡器中运动的自由电子,可望把沟道辐射改造为Χ射线激光或γ射线激光.从Lindhard势出发,将其展开到四次项,在经典力学框架内,粒子的运动方程可以化为含立方项的二阶非线性微分方程,并利用Jacobian椭圆函数和第一类全椭圆积分解析地表示了系统的解和粒子运动周期,导出了正电子面沟道辐射的瞬时辐射强度、平均辐射强度和最大辐射频率,指出了利用沟道辐射作为γ激光的可能性.     

Simulation of the paths and the corresponding radiation spectra of relativistic particles in crystals

Within the framework of classical electrodynamics we have developed a method of simulating the radiation spectra of relativistic particles in crystals, using computer tracking of the particle paths. We classify the characteristic types of paths and the corresponding radiation spectra of negatively charged particles moving along crystallographic axes. An analysis is made of how the fact that the time of motion along a characteristic path is finite and that the paths are not closed affects the shape of the radiation spectra. All of the characteristic features of the spectra are illustrated by calculations for 56-MeV electrons moving along the axes of crystals, <100> in the case of silicon and <110> in the case of diamond.     

一维晶化束的辐射能损与束流冷却

 用Jacobian椭圆函数求解了一维晶化束的非线性动力学方程，并用第一类全椭圆积分表示了粒子振动周期。在经典物理学框架内，讨论了储存环中作相对论运动的带电粒子的辐射能损，以及由于辐射能损导致的束流冷却。结果表明, 由于辐射损失束流将进一步冷却。     

Diffraction radiation from an inhomogeneous dielectric film on the surface of a perfect conductor

Diffraction radiation generated by a charged particle moving uniformly parallel to the surface of a perfect conductor coated with a dielectric film is considered; the thickness of the film is an arbitrary function of coordinates. A particular case is considered when this function is periodic in one coordinate. The dependence of radiation on the profile of an individual irregularity of the periodic film is analyzed in detail for an arbitrary energy of the particle.     

Radiation of de-excited electrons at large times in a strong electromagnetic plane wave

The late time asymptotics of the physical solutions to the Lorentz–Dirac equation in the electromagnetic external fields of simple configurations–the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave–are found. The solutions to the Landau–Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. Some general properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the external electromagnetic fields of the simple configurations pointed above. This provides a simple method to verify experimentally that the charged particle has reached the asymptotic regime.     

Angular distribution of transient radiation from an ultrarelativistic particle in a magnetic field

It is shown that a magnetic field acting on an ultrarelativistic charged particle escaping from a conductor changes the intensity of transient radiation. The angular and frequency distribution of transient radiation in the magnetic field is determined. The possibility of determining the energy of the ultrarelativistic particle from the change in the azimuthal asymmetry of transient radiation emitted by this particle in the magnetic field is discussed.