Collective effects for long bunches in dual harmonic RF systems

The storage of long bunches for large time intervals needs flattened stationary buckets with a large bucket height.Collective effects from the space charge and resistive impedance are studied by looking at the incoherent particle motion for the matched and mismatched bunches.Increasing the RF amplitude with particle number provides r.m.s wise matching for modest intensities.The incoherent motion of large amplitude particles depends on the details of the RF system.The resulting debunching process is a combination of the too small full RF acceptance together with the mismatch,enhanced by the collective effects.Irregular single particle motion is not associated with the coherent dipole instability.For the stationary phase space distribution of the Hofmann-Pedersen approach and for the dual harmonic RF system,stability limits are presented,which are too low if using realistic input distributions.For single and dual harmonic RF system with d＝0.31,the tracking results are shown for intensities,by a factor of 3 above the threshold values.Small resistive impedances lead to coherent oscillations around the equilibrium phase value,as energy loss by resistive impedance is compensated by the energy gain of the RF system.     

双谐波高频系统的同步加速器中发射度主导的长束团研究

在质子储存环中,长束团的长期储存要求采用比较平的 bucket 以增加纵向接收度。对于经过相空间冷却的低能散的束流,束流内部的库仑散射作用不能被忽略。本文讨论了对于处在临界能量以下的发射度主导的长束团双谐波高频系统的特性。为了保持束团长度不变,高频电压应作适当的提高以补偿空间电荷效应的作用。初始失配的束流的纵向运动也分别对于单谐波或双谐波系统进行了研究,对于前者失配度为20%时,纵向接收度太小导致经过几个同步周期后就出现明显的束流纤维化和散束。本文还引入了一种空间电荷作用因子和纵向失配度的概念来研究和分析发射度主导的长束团的纵向运动。采用ORBIT程序对FAIR-HESR加速器中的束流纵向运动进行了模拟跟踪计算,并与理论分析进行了比较。     

Emittance Dominated Long Bunches in Dual Harmonic RF Systems

The storage of long bunches for long time intervals needs flattened stationary buckets with large bucket height. In the case of small energy spread with a cooled beam, the Coulomb interaction cannot be ignored. The properties of the dual harmonic RF systems are discussed for the emittance dominated long bunches below transition. The external voltage has to be increased to compensate the Coulomb interaction to keep bunch length unchanged. The longitudinal motion of the initially mismatched beam has been studied for both single and dual harmonic RF system. Bucket height of the single harmonic system is too small even for 20 % mismatch. Halo formation and debunching can be seen after a few synchrotron periods for single particles with large amplitude. The simulation results by using ORBIT code for the FAIR-HESR synchrotron has been given together with theoretical analysis.     

Emittance-dominated long bunches in dual harmonic RF system

The storage of long bunches for long time intervals needs flattened stationary buckets with a large bucket height. The longitudinal motion of the initially mismatched beam has been studied for both the single and dual harmonic RF systems. The RF amplitude is determined to be r.m.s wise matched. The bucket height of the single harmonic system is too small even for shorter bunch with only 20% increased energy spread. The Halo formation and even debunching can be seen after a few synchrotron periods for single particles with large amplitude. In the case of small energy spread for a cooled beam, Coulomb interaction cannot be ignored. The external voltage has to be increased to keep the r.m.s bunch length unchanged. The new voltage ratio R(N) simplifies physics for the emittance-dominated bunches with modest particle number N. For the single harmonic system, substantial amount of debunching occurs without increasing the external voltage, but very little if the RF amplitude is doubled. Results from the ORBIT tracking code are presented for the 1 GeV bunch in the HESR synchrotron, part of the GSI FAIR project.     

The Potential-Well Distortion Effect and Coherent Instabilities of Electron Bunches in Storage Rings

The effect of electromagnetic interaction between electron bunches and the vacuum chamber of a storage ring on the longitudinal motion of bunches is studied. Specifically, the potential-well distortion effect and the so-called coherent instabilities of coupled bunches are considered. An approximate analytical solution for the frequencies of incoherent oscillations of bunches distributed arbitrarily within the ring is obtained for a distorted potential well. A new approach to determining frequencies of coherent oscillations and an approximate analytical relation for estimating the stability of a system of bunches as a function of their distribution in the accelerator orbit are presented.     

Space charge effects of intense particle beams

The analytical solutions for the potentials and electrical fields are derived, assuming bunches of spherical shape with homogeneous and parabolic particle distributions to estimate space charge effects of intense particle beams. The trajectories of electrons created within bunches by residual gas ionization have been calculated taking into account the typical parameters of the RF accelerators.     

Electrons in the Field of Interfering Laser Pulses with Tilted Fronts: Formation of Compressed Bunches and Their Application for the Generation of Coherent γ – Rays

Simulations show that optical traps for charged particles can be formed in the fields of intense ultrashort laser pulses with tilted amplitude fronts. The traps travel in space with the velocities close to the speed of light and can be used for the creation of electron bunches which, at the laser intensities which are currently attainable, are compressed to proportions far below the laser wavelength and have energies reaching hundreds of GeV per particle. If an additional ultrashort laser pulse is propagated in the direction opposite to that of the bunch motion and interacts with the electrons, inverse Compton scattering occurs, with most of the electron energy being transferred to the resulting gamma‐quanta. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Evidence of ultrashort electron bunches in laser-plasma interactions at relativistic intensities

The second harmonic of the laser light (2omega(0)) is observed on the rear side of thick solid targets irradiated by a laser beam at relativistic intensities. This emission is explained by the acceleration by the laser pulse in front of the target of short bunches of electrons separated by the period (or half the period) of the laser light. When reaching the rear side of the target, these electron bunches emit coherent transition radiation at 2omega(0). The observations indicate that, in our conditions, the minimum fraction of the laser energy transferred to these electron bunches is of the order of 1%.     

Coherent States and Modified de Broglie-Bohm Complex Quantum Trajectories

This paper examines the nature of classical correspondence in the case of coherent states at the level of quantum trajectories. We first show that for a harmonic oscillator, the coherent state complex quantum trajectories and the complex classical trajectories are identical to each other. This congruence in the complex plane, not restricted to high quantum numbers alone, illustrates that the harmonic oscillator in a coherent state executes classical motion. The quantum trajectories we consider are those conceived in a modified de Broglie-Bohm scheme. Though quantum trajectory representations are widely discussed in recent years, identical classical and quantum trajectories for coherent states are obtained only in the present approach. We may note that this result for standard harmonic oscillator coherent states is not totally unexpected because of their holomorphic nature. The study is extended to coherent states of a particle in an infinite potential well and that in a symmetric Poschl-Teller potential by solving for the trajectories numerically. For the Gazeau-Klauder coherent state of the infinite potential well, almost identical classical and quantum trajectories are obtained whereas for the Poschl-Teller potential, though classical trajectories are not regained, a periodic motion results as t→∞. Similar features were found for the SUSY quantum mechanics-based coherent states of the Poschl-Teller potential too, but this time the pattern of complex trajectories is quite different from that of the previous case. Thus we find that the method is a potential tool in analyzing the properties of generalized coherent states.     

压缩相干态腔场的类自旋GHZ态的制备

压缩相干态是准粒子空间的相干态,研究大振幅情况下的单模压缩相干态腔场,其特性类似于大振幅下的单模相干态腔场,与自旋1/2的两态粒子同构.文中提出一种方案,利用大失谐的JaynesCummings模型来制备处于压缩相干态的三个腔场的类自旋GreenbergerHorneZeilinger(GHZ)态. 关键词： 压缩相干态 类自旋GHZ态 大失谐JaynesCumminys模型 同构     

低噪声通过特性的测量仿真研究

本文研究运用组合传感器和声压、振速联合信息处理技术进行低品声通过特性的测量。通过特性的背景噪声出非相干的各向同性白噪声和相干的交通干扰组成,交通干扰又分为平稳与非平稳两种,用平均声强器来抗非相干干扰;用交通干扰能量流中心方位抑制技术来抗平稳的相干干扰;对于非平稳的相干干扰而能量流中心方位抑制技术。仿真试验表明效果良好。     

High-frequency impedance and absorption of a semiconductor lattice upon an external periodic perturbation

The impedance and absorption of a semiconductor superlattice under an external harmonic perturbation are investigated. It is shown that a weak external periodic signal synchronizes the domain motion in a semiconductor superlattice, and this process is accompanied by an increase in absorption and a reduction in the amplitude of the superlattice impedance. The characteristic dependence of the active and reactive impedance components on the frequency and amplitude of the external harmonic perturbation is presented.     

波包的空时演化与能级免交叉

采用二维谐振子相干态为初始态,在形变原子核系统分别为规则和混沌两种情况下,对其在相空间中的时间行为进行了傅里叶分析,特别比较了混沌系统中波包宽度在整个时间段与达到饱和后两个阶段的傅里叶分析结果.指出系统的混沌运动是由于大量能级免交叉的出现在波包运动的初始阶段就破坏了波包内部的规则结构,波包各成分间的协同性被破坏,波包的运动成为混沌.此后,波包内各成分对波包运动的贡献开始相同,能级之间的免交叉对波包运动的影响也不再明显.     

D-dimensional Smorodinsky-Winternitz potential: Coherent state approach

In this study, we construct the coherent states for a particle in the D-dimensional maximally superintegrable Smorodinsky-Winternitz potential. We, first, map the system into 2D harmonic oscillators, second, construct the coherent states of them by evaluating the transition amplitudes. Third, in the Cartesian and the hyperspherical coordinates, we find the coherent states and the stationary states of the original sytem by reduction.     

Studies of dual-harmonic acceleration at CSNS-Ⅱ

The Rapid Cycling Synchrotron(RCS) of the China Spallation Neutron Source(CSNS) complex is designed to provide 1.56×1013 protons per pulse(ppp) during the initial stage,and it is upgradeable to 3.12×1013 ppp during the second stage and 6.24×1013 ppp during the ultimate stage.The high beam intensity in the RCS requires alleviation of space charge effects to reduce beam losses,which is key in such high beam power accelerators.With higher intensities in the upgrading phases,a dual-harmonic RF system is planned to produce flat-topped bunches that are useful to reduce the space charge effects.We have studied different schemes to apply the dual-harmonic acceleration in CSNS-,and have calculated the main parameters of the RF systems,which are presented in this paper.     

The influence of exciton motion on spin-resonance absorption

We use a stochastic model for the exciton motion which comprises both the coherent and the incoherent motion. The incoherent part is taken care of by a stochastic process which allows the local excitation energy and the transition matrix element to fluctuate by means of a Markovian process. The interaction between the spins and their surroundings is described by the usual spin-Hamiltonian which is, however, simplified to a spin 1/2 particle (instead of the triplet state). In the present paper we solve exactly the two limiting cases of completely coherent and incoherent motion (for two molecules). In the incoherent case the influence of the exchange interaction integral is taken into account by perturbation theory. We find expressions which are immediately comparable with ESR-experimental data. This comparison and additional information derived from optical absorption measurements allow us to determine all free parameters of our model uniquely. In particular, the fluctuations of the exchange interaction integral (with strength γ₁) play an important role. From these parameters we may furthermore calculate the correlation time of the proton spin resonance in agreement with experimental data. The results show clearly that at room temperature in anthracene crystals the exciton undergoes a hopping process.     

On the stationary properties of an open system with internal coherent interactions

The asymptotic behaviour of an open system in which coherent and incoherent interactions interfere is discussed. It is shown that a stationary density operator exists which is diagonal with the coherent interaction, and that detailed balance is satisfied. A model-independent form for this density operator is given. A class of systems is identified for which the stationary solution can be constructed explicitly and in which some known models are contained.     

Optical filtering

This contribution deals with phase and amplitude filters used in coherent, partially coherent and incoherent illumination both for improvement of optical images and for detection of similarities (correlation). Other types of filters such as intensity filters, phase only filters etc. will be also discussed where appropriate. Most of the space, however, will be devoted to optical filtering in coherent illumination.     

储存环高频剔除系统

 介绍了用于电子储存环部分填充和非均匀填充的一种实验装置,它利用储存环中电子运动所具有的横向自由振荡和束团脉冲的时间结构这一特性,采用外加激励的方法使其产生共振,从而使得储存环中部分束团中的电子丢失,形成储存环的部分填充和非均匀填充。还扼要介绍了用高频剔除系统在储存环上实现不同填充方式时的束流积累结果。