Deflection of high-energy negative particles in a bent crystal through axial channeling and multiple volume reflection stimulated by doughnut scattering

Different kinds of deflection in a silicon crystal bent along the 〈111〉 axis was observed for 150 GeV/c   negative particles, mainly π⁻${\pi }^{-}$ mesons, at one of the secondary beams of the CERN SPS. The whole beam was deflected to one side in quasi-bound states of doughnut scattering (DSB) by atomic strings with the efficiency (95.4 ± 0.2)% and with the peak position close to the bend crystal angle, α=185 μrad$\alpha =185\text{μrad}$. It was observed volume capture of π⁻${\pi }^{-}$ mesons into the DSB states with a probability higher than 7%. A beam deflection opposite to the crystal bend was observed for some orientations of the crystal axis due to doughnut scattering and subsequent multiple volume reflections of π⁻${\pi }^{-}$ mesons by different bent planes crossing the axis.     

Orbital angular momentum of channeling radiation from relativistic electrons in thin Si crystal

We propose to use channeling radiation (CR) from relativistic electrons as a source of high energy twisted photons in the MeV range. We calculate numerically the orbital angular momentum (OAM) of radiation produced by electrons with the energies $155÷2500$ MeV for the axial and planar channeling in the thin Si crystal. We obtain that the average OAM of CR in this case is approximately $1÷6?$ per photon with the photon energies about $1÷2$ MeV.     

Dynamical chaos and stochastic mechanism of high-energy negatively charged particle deflection by bent crystals

Deflection of high-energy negatively charged particles in straight and bent crystals through multiple scattering by crystal atomic strings was considered for the case in which the initial angle between the particle momentum and one of the main crystallographic axes was approximately four critical angles of axial channeling. It was shown that in a bent crystal with a small crystal thickness, when the crystal bend was less than the beam incidence angle, the beam deflected in the direction opposite to the direction of the crystal bend. At larger crystal thicknesses, the large part of the beam starts to deflect in the direction of the crystal bend. In addition, there is a group of particles that follow the crystal axis bend in the angular region of approximately the critical angle of axial channeling with respect to the current direction of the crystal axis. It was shown that in all of these deflection processes, the periodicity of the location of atomic strings in the crystal does not influence the angular distributions of scattered particles. This fact is connected with the effect of dynamical chaos in particle motion in the periodical field of bent crystal atomic strings. It was also shown that observed in a recent CERN experiment effect of beam deflection, when the angle between the initial particle momentum and the crystal axis was approximately four critical angles of axial channeling, is due to peculiarities of the stochastic multiple scattering of particles by bent crystal atomic strings. These peculiarities are connected with the effect of dynamical chaos in particle motion in crystals.     

Axial bloch wave channeling of 15 MeV electrons in silicon

Experimental transmission profiles of 15 MeV electrons in silicon [111] have been measured. They show a fine structure which is not reproduced by a classical calculation. On the basis of the dynamical theory of diffraction a 331-beam calculation has been performed to interpret the experimental curves.     

用于X射线时空分辨测量的弯晶谱仪

为了测量激光聚变产生的0.2～0.37 nm范围内的等离子体X射线, 设计了一种基于空间和时间分辨的聚焦型弯晶谱仪. 将在700℃时弯曲后的LiF(2d＝0.403 nm)晶体作为色散元件, 布喇格衍射角的变化范围为30～67.5°, 弯晶粘贴在离心率和焦距分别为0.9586和1350 mm的椭圆形不锈钢基底上. 利用弯晶谱仪配X光CCD相机在星光Ⅱ激光(0.35 μm, 60～80J, 700 ps)装置上摄取了钛平面靶发射的X射线光谱, 实验结果表明它的光谱分辨率能达到0.001 nm.     

Surface channeling of protons and electrons on reflection by a single crystal

Computer modeling is used to investigate the reflection of 0.67-MeV protons and 1-MeV electrons by the (110) face of an Au single crystal for angles of divergence < _cr of the incident beam with the direction 110 lying in the surface. The angular distributions and reflection coefficients of protons and electrons are compared. Several maxima are found in the angular distributions. In additon to the specular-reflection maximum at = there is a maximum at > for protons and a maximum at < for electrons. The maxima in the angular distributions are attributed to multiple scattering at atomic chains of the crystal surface. An analytic approximation of the reflection coefficient for protons K_cor() is given. The great contribution to the reflected flux from particles channeled in the surface layer allows it to be used for structural analysis of crystal surfaces.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 85–90, March, 1979.     

Isotopic mass effects for low-energy channeling in a silicon crystal

Monte Carlo (MC) simulations have been used to study the low-energy channeling of ¹⁰B and ¹¹B ions along the [100] axis in Si crystal. MC simulations show that the critical angle Ψ_C ≈ 15.3(keV/E)^1/2 (in degrees) for the channeling of isotopic ¹⁰B ions and Ψ_C=14.5(keV/E)^1/2 (in degrees) for the channeling of isotopic ¹¹B ions, where E is the incident energy. This means that (Ψ_{C for 10B ions}/Ψ_{C for 11B ions})≈ (15.3/14.5)≈ (11/10)^1/2.     

Reprint of: Determination of deuteron characteristic channeling parameters by simulation of RBS spectrum along Si <100>

In this paper, the channeling behavior of deuterons in the energy of 1400 keV along the <100> channel of Si was studied by the simulation of the channeling Rutherford spectrum in the backscattering geometry. The simulation was done by taking three considerations into account: (i) a minimum random component of the beam which enters the sample because of the scattering ions from the surface, (ii) the dechanneling starts at the greater penetration depths and (iii) the dechanneling follows a Gompertz type sigmoidal function with the two parameters which present the dechanneling rate and range, respectively. The Levenberg–Marquardt algorithm was used to set the best characteristic channeling parameters, the penetration depth at which the dechanneling starts, the energy loss and the dechanneling rate and range. The energy dependence of the ratio of channeling to random energy loss of deuterons in the energy range 1–2 MeV is investigated by comparing the determined value with the ones obtained in the other references.     

Comparative results on collimation of the SPS beam of protons and Pb ions with bent crystals

New experiments on crystal assisted collimation have been carried out at the CERN SPS with stored beams of 120 GeV/c protons and Pb ions. Bent silicon crystals of 2 mm long with about 170 μrad bend angle and a small residual torsion were used as primary collimators. In channeling conditions, the beam loss rate induced by inelastic interactions of particles with the crystal nuclei is minimal. The loss reduction was about 6 for protons and about 3 for Pb ions. Lower reduction value for Pb ions can be explained by their considerably larger ionization losses in the crystal. In one of the crystals, the measured fraction of the Pb ion beam halo deflected in channeling conditions was 74%, a value very close to that for protons. The intensity of the off-momentum halo leaking out from the collimation station was measured in the first high dispersion area downstream. The particle population in the shadow of the secondary collimator-absorber was considerably smaller in channeling conditions than for amorphous orientations of the crystal. The corresponding reduction was in the range of 2-5 for both protons and Pb ions.     

1-to-N beam splitter based on photonic crystal branched waveguide structure

A novel beam splitter is proposed based on a two-dimensional (2D) photonic crystal (PC) branched waveguide structure. The beam splitter structure comprises branched waveguide channels and extra dielectric columns. These branched waveguide channels are used to obtain secondary sources and the introduced extra dielectric columns are used to control the phase difference of the secondary point sources. The field distributions of the beam are investigated using the finite-difference time-domain (FDTD). It is found that the number of beams is sensitive to the distance of the waveguide channels ports and extra dielectric columns. By adjusting the positions of the waveguide channels and the parameters of the extra dielectric columns, 1-to-N beam splitters can be realized. These simple, easily fabricated and controllable structures have important potential applications in integrated optical circuits.     

Neutron forward diffraction by single crystal prisms

We have derived analytic expressions for the deflection as well as transmitted fraction of monochromatic neutrons forward diffracted by a single crystal prism. In the vicinity of a Bragg reflection, the neutron deflection deviates sharply from that for an amorphous prism, exhibiting three orders of magnitude greater sensitivity to the incidence angle. We have measured the variation of neutron deflection and transmission across a Bragg reflection, for several single crystal prisms. The results agree well with theory.      

Electromagnetic radiation of channeling electrons and positrons

General formulae for the spectral and angular distributions of radiation of relativistic channeled particles have been derived. These formulae are valid both for γ-quanta radiation and for radiation in the optical region. The problem of experimental detection of this radiation is discussed.     

Observation of monochromatic X-ray radiation from 900 MeV electrons transmitting through a diamond crystal

A new source of monochromatic X-ray radiation from a relativisti? electron beam transmitted through a crystal target is experimentally observed.     

Diverse imaging of photonic crystal by the effects of channeling and partial band gap

Diverse imaging of point source by a two-dimensional photonic crystal slab with square lattice is studied by the finite-difference time-domain method. Given proper frequencies, there seems to be some special directions like channels guiding the light propagation inside the photonic crystal, along which some images will be created. It is suggest that except negative refraction there should be other mechanisms making point image by two dimensional photonic crystal slab.     

Spectral method in quantum theory of channeling phenomena of fast charged particles in crystals

We show the possibility of using the spectral method to determine the quantum characteristics of interaction between fast charged particles and crystal when the channeling occurs. Basing on this method, we have developed the procedure for calculation of particles transversal motions eigenlevels for plane channeling. We considered origin of new levels with increasing of particle's energy and zone structure forming from these levels with increasing number of potential wells. We discuss also the possibility of using the spectral method in number of other problems of quantum theory of channeling.     

Novel composite beam splitter with directional coupler and Y-junction using photonic crystal

We propose and analyze a novel multiway high efficiency composite beam splitter based on propagation properties of the light waves in directional coupler and Y-junction. The splitting properties of the beam splitter have been numerically simulated and analyzed using the PWE and FDTD methods. Then in order to obtain equal distribution of power, we place and adjust some additional rods in the output waveguides to optimize the devices. It was shown that a large separating angle, a high beam rate, high flexibility, has been extended to have more light output channels in the beam splitter.     

3.5 MeV无箔注入器束流调试

 3.5 MeV 注入器是“神龙一号”直线感应加速器的束源,在注入器束流调试中,首先通过数值模拟方法,初步确定束流过聚焦和聚焦不足两种极端情况下引出线圈输运磁场峰值的变化范围;然后以注入器出口束流波形为参考,通过实验调试找到了这两种情况下引出线圈输运磁场峰值的实际配置;再通过测量束流的剖面或发射度,在这两种配置中选定一个折中的引出线圈磁场配置,并最终确定了注入器输运磁场的总体配置。经过调试完成后的注入器束流为3.6 MeV,流强为2.8 kA,归一化边发射度为1 040 mm·mrad,达到了预期的指标。     

Spectral and polarization characteristics of (111) planar channeling radiation from relativistic electrons in diamond crystal

Channeling radiation of 900 MeV electrons in (111) diamond planar channels has been investigated using the computer simulation method. Two characteristic maxima have been obtained in the radiation spectra, one of which is due to molecular-type channeling. The polarization characteristics of the channeling radiation from relativistic electrons in the molecular states and quasi-atomic ones are obtained.     

Enhanced planar channeling of MeV protons through thin crystals

At certain tilt alignments between a MeV proton beam and a planar channeling direction, a single interface lattice rotation within a crystal can result in a lower rate of dechanneling than at planar alignment in a perfect crystal. Such planar channeling enhancement arises when the beam passes through a layer thickness which is a half-multiple of the oscillation wavelength and then encounters a small interface rotation which is matched to the beam tilt angle. The beam is projected into the center of the phase space ellipse below the interface, resulting in certain trajectories undergoing a reduction in their transverse energy, in a manner analogous to stochastic cooling or atom laser cooling.