Paper  Title  Page 

MOYMH02 
Physics Basis for the AWAKE Experiment  


Funding: RSF 141200043 AWAKE, an Advanced Wakefield Experiment at CERN aims at the first experimental demonstration of plasma wakefield acceleration driven by a highenergy proton beam. The proton beam must be sliced into the train of short microbunches in the plasma by a controllable beamplasma instability. The selfmodulated proton beam then excites the plasma wave, by which a bunch of externally injected electrons is trapped and accelerated. The acceleration scenario relies on several key effects, which thus far were observed in numerical simulations only. Their experimental proof will be an important step toward using proton beams for generation of highenergy, acceleratorquality lepton beams. 

Slides MOYMH02 [4.190 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
MOYMH03 
The MICE Muon Ionisation Cooling Experiment: Progress and First Results  


The Muon Ionisation Cooling experiment (MICE) is designed to demonstrate the reduction of the phasespace volume occupied by a muon beam using the ionizationcooling technique, for the first time. This demonstration will be an important step in establishing the feasibility of muon accelerators for particle physics. The emittance of the beam is reduced through ionization as it passes through a cooling cell (or absorber) and is measured before and after the cooling cell using two highprecision scintillatingfibre tracking detectors (Trackers). Each Tracker is immersed in a uniform magnetic field produced by solenoidal spectrometers. The Trackers combined with a suite of other detectors perform the particle identification measurements. MICE is is now taking data at the Rutherford Appleton Laboratory in the UK. The design, hardware, status and first results from the MICE experiment are presented here.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECAMH01  Some Problems of the Beam Extraction from Circular Accelerators  61 


In this article some problems of optimizing the output beam of particles from the circular accelerator are discussed. In particular, we consider some problems of matching the booster, Nuclotron and collider in the NICA project. The main attention is paid to the matching of the extraction beam systems. The proposed approach allows providing qualitative and quantitative analysis of the impact of various factors of the corresponding control systems.  
Slides WECAMH01 [1.912 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECAMH02 
Dynamics Positron Clouds by Storage in the PenningMalmbergSurko Trap at the LEPTA Facility  


The paper presents the new mechanism are explained the increase in lifetime, intensity and compression positron cloud by using a rotating electric field (Rotating Wall) and other control parameters in the PenningMalmbergSurko Trap at the LEPTA Facility*,**. The application of the mechanism in a traps of another type, as well as the prospects for the use of bunches of positrons of positron annihilation spectroscopy. The theoretical basis and experimental results of are presented.
* Eseev M.K., Kobets A.G., et al. JETP Letters 102 (5) 261265 (2015). ** Eseev M.K., Meshkov I.N. Traps for storing charged particles and antiparticles in high precision experiments // Phys. Usp. 59 304317 (2016). 

Slides WECAMH02 [7.905 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECAMH03  Analysis of the Particle Dynamics Stability in the PenningMalmbergSurko Trap  64 


Present report refers to the problem of the study of charged particle dynamics in the PenningMalmbergSurko trap. Various models of particle dynamics describing the magnetron and cyclotron motions are considered. Representation of the solutions in the form of a series is used for the magnetron motion. The problems of the stability of the magnetron motion are investigated.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECAMH04  Recent Experiments With High Energy Electron Cooler in COSY  67 


The 2 MeV electron cooling system at COSYJülich started operation in 2013. The cooling process was observed in the wide energy range of the electron beam from 100 keV to 1.26 MeV. Vertical, horizontal and longitudinal cooling was obtained with bunched and coasting proton beam. This report deals with electron cooling experiments at COSY with proton beam at energy 1.66 and 2.3 GeV. The proton beam was cooled at different regimes: RF on and off, barrier bucket RF, and cluster target on and off.  
Slides WECAMH04 [11.045 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECAMH05  Optimization and Simuations of Beam Dynamics in APF Accelerators  70 


Design problem of APF accelerator for ensurance enough high quality of output beam is considered. As we know, this problem is not easy because we have to achieve stability of longitudinal and transversal motions simultaneously. One of the first significant results in this subject were obtained by V. V. Kushin. In this work the problems of optimizations of intense ion beam are considered. The optimazation approaches for some beam characteristics improving (acceleration and transmission rates) are considered. Obtained results are confirmed by particle in cell simulations.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WECDMH03  A 5 to 20 MeV Electron Linear Accelerator for Metrology  102 


The paper outlines design parameters and construction features of an electron linear accelerator to be operated in the D.I.Mendeleyev Institute for Metrology (VNIIM). The accelerator system is intended to form electron and bremsstrahlung radiation fields of variable intensity. This shall extend characteristics of the National measurement standard to be used for calibration of a space monitoring equipment, embedded measuring means for industrial accelerator facilities and others. The accelerator system consists of an electron source, resonance accelerating structure, beambending magnet'separator and radiation head with a block of bremsstrahlung targets, foils and collimators. An important feature of the system is spatial steadiness of radiation field at energies varied from 5 to 20 MeV and more than tenfold variation of the accelerated particle current. The status of the project will be presented as well.  
Slides WECDMH03 [9.654 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
FRCAMH06  Simulation of TwoPlane Painting Multiturn Injection into BRing with Space Charge Effect  163 


The new project HIAF is under design now in IMP (Lanzhou, China). One of the aim of the project is to accumulate about 1.4·10^{11} ions U^{34+} in the booster ring (BRing) at the injection energy 17 MeV/u. Twoplan injection procedure in horizontal and vertical spaces was proposed to fill out full acceptance of BRing. The optimization of injection parameters is presented in this report. The space charge effect was estimated with the molecular dynamics technique which was effectively used for the crystalline beam simulation.  
Slides FRCAMH06 [4.324 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
FRCAMH08  Dynamic Aperture Optimization of the NICA Collider  169 


NICA is a proton and heavy ion collider being built at JINR in Dubna, Russia. It was shown that nonlinear quadrupole fringe fields are among the main factors limiting dynamic aperture of the machine. In the present paper the following ways of dynamic aperture optimization were studied: betatron tunes optimization and placing octupole lenses to the lattice to compensate fringe fields' effect.  
Slides FRCAMH08 [2.480 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA010  Electron Linear Accelerator with the Variable Energy from 6 to 11 MeV  231 


The standing wave accelerator with the variable energy from 6 to 11 MeV has been designed. Electron energy is controlled by the injected current. The buncher has been designed to provide capture above 70% for the all injected currents range. The possibility of using a permanent radially magnetized toroidal magnet for the beam focusing was studied.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA011  Matching the Proton Beam by Means of Independently Phased Bunchers in CYCLINAC Concept  234 


Nowadays a hadron therapy is one of the modern methods of a cancer treatment. For that purpose it is required that a proton beam, accelerated up to 250 MeV, penetrates on a depth about of 30 cm. It is known that linac, cyclotron and synchrotron can be used as a sources of proton/ion beams. The main linac advantages are a high beam quality and a possibility of beam energy variation but, on the other hand, initial lowenergy part of a linac is markedly expensive. Production of mentioned beams is possible on the base of a concept called CYCLINAC, when a commercial cyclotron is used as an injector, in which protons are accelerated up to 2030 MeV, for main linac. Matching the beam from a cyclotron with a linac input is the main problem of this concept. It is caused by difference of operating frequencies of cyclotron and linear accelerator as well as a high phase size of a bunch from the cyclotron. It is proposed to use the system of independently phased bunchers for beam matching. Solenoids are proposed to use for a limitation of transverse emittance growth. The BEAMDULACCYCLINAC program is developed for simulation of the selfconsistent dynamics of proton beams in a matching channel. Results of beam dynamics simulation for CYCLINAC will be presented and discussed.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA012  Superconducting Stored Energy RF Linac as Free Electron Laser Driver  237 


Due to cavity losses in multi pass free electron laser (FEL), generation starts in it from definite threshold of driving electron beam current. Depending on generation wave range the threshold current strikes from fraction of ampere to dozens of amperes. In order to rich laser saturation, from hundreds to thousands electron bunches are required. Simple estimations give the value from units up to tens joules of bunches train energy in order to rich FEL saturation for infrared wave range (approximately 20  25 MeV of bunches energy and 3 A of pick current, bunch length being 1 cm). A beam with parameters mentioned might be obtained in rf superconducting linac operating in stored energy mode. The advantage of such approach is simplified linac power supply since dozens watts cw rf generator is required only to rich necessary accelerating voltage. At the same time the energy spread arising from beam loading may be compensated by additional cavities exited at shifted frequencies. In this paper Maxwell equations are used for beamcavity interaction analysis. The bunch energy loss or the same the voltage induced by radiating bunch is expressed in terms of cavity external parameters. The detailed analysis of beam energy spread compensation is carried out followed by an example showing the reality of FEL schema suggested.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA013  Investigation of a Second Order Method of RFQ Channel Optimization  240 


This report is devoted to a numerical method of solution of the RFQ structure optimization problem. The problem is considered as a control theory problem. Control functions representing geometry of the electrodes and a quality functional describing the beam are introduced. To solve the problem numerically these control functions are parametrized. The presented method is based on the computation of the derivatives of the first and the second order of the quality functional on the parameters. Results of investigation of efficiency of the method relatively to a method including computation of the derivatives only of the first order are presented.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA014  A Simple Model for Electromagnetic Field in RFQ Channel  244 


Numerical solution of the RFQ structure optimization problem requires a great amount of computation. Each consecutive step of the numerical optimization includes modification of geometry of the channel and computation of electromagnetic field for modified geometry. Therefore, a simple model describing the field in the channel is needed for the optimization. Such model is proposed in this report. It differs from the commonly used traditional model of the field, which can be applied when profiles of the vanes are described by the harmonic functions of the longitudinal coordinate. Our model is more general and can be applied for arbitrary profiles of the vanes.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA015  Acceleration of Deuterons and Protons in Single RFQ Strucrure  247 


Some aspects of acceleration of protons and deuterons in single RFQ are considered. Usually vane voltage for protons must be two times less than vane voltage for deuterons. If space charge is significant vane voltage for protons can be too small to reach high efficiency of bunching and focusing of protons beam. It is shown that a rising of voltage up to nominal value for deuterons leads to increasing of capture and transmission for protons. Another problem is concerned with a choice of radial matching section parameters, which are optimal for both beams (proton and deuterons) simultaneously. Methods of optimization are discussed. Analysis of particles dynamics is illustrated by calculation's results.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA016  Beam Simulation and Measurements at Beam Line to RADEX Experimental Area of INR Linac  250 


In 2015 the experimental complex beam lines of INR linac were upgraded. There is a need to study beam dynamics in these lines. The results of beam simulation at beam line to RADEX experimental area and comparison with beam measurements are presented.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA017 
Modelling of Dynamic of Charged Particles in BDO RFQ Program Complex  


In current work a task of modelling of dynamic of charged particles in RFQ structures in BDO RFQ program complex is considered. Following models are realized in program complex: dynamic model of particles in equivalent running wave, dynamic model of particles in the envelops and model of 3D dynamic in standing wave. Parameters export between the models is carried out. For Coulomb interaction of charged particles different models of method of large particles are carried out as well as methods based on analytic approach of Coulomb field of the beam and estimation of the Coulomb field by net method. A possibility of results comparison with Coulomb field of particles by different methods is foreseen in this program complex. User graphic interface allows to choose a model, to enter and modify the parameters, to review calculation results.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA025  First Results of Beam Dynamics Simulation in electron injector linac for FCCee  264 


New highenergy frontier project FCC is now under development at CERN. It is planed that all three modes as ee, hh and eh will be available for FCC. New injection system for FCCee is planned to consist of new ~ 2 GeV electron linac and electronpositron converter. Two possible layouts for further beam acceleration are discussed. The highenergy 14 GeV linac is the first layout and the booster synchrotron is the second one. Preinjector linac design will have two regimes: ~250 pC bunches for injection and ~6 nC bunches for e^{−}/e^{+} conversion. In the second case we will have extreme parameters: bunch charge up to 6 nC in 10 ps, up to 10 bunches per pulse and the pulse repetition rate up to 100 Hz. Such beam parameters lead to significant design difficulties caused by very high influence of Coulomb field in the nearcathode region and high peak beam loading. First results of beam dynamics simulation in FCCee injection linac and nearcathode dynamics problems are discussed in the report.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA026  Beam Dynamics Study for the New CW RFQ  267 


A compact "university scale" CW research proton accelerator, as well as driver linac with three branches of experimental beam lines, delivering beam energy of 3, 10 and 30 MeV for dedicated experiments, are recently under development in Russia. A proposed frontend system of both linacs comprises a 2 MeV CW RFQ, which is foreseen to bunch and accelerate up to 10 mA proton beam. The RFQ design is presented. The beam dynamics simulation results, obtained by means of different simulation code, are discussed and compared.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA040  SBand Choke Mode Cavity for Low Energy Storage Ring  300 


Several variants of a lowenergy storage ring for Thomson scattering Xray source were considered in *. The most promising variant "C" of the ring with small dimensions and large dynamic aperture has also large momentum compaction factor, which would lead to too long bunches with RF cavity operating at 714 MHz, so shorter wavelength must be used. In this paper we present results of optimization of Sband doublecells cavity with parasitic mode damping by chokes similar to **. Interaction of the bunch circulating in the ring with cavity parasitic modes is simulated.
* L. Ovchinnikova, V. Shvedunov, A. Mikhailichenko et al.. A comparative study of low energy compact storage rings for a thomson scattering xray source. Proc. of IPAC16, 2016, pp. 33083310. ** T. Shintake, The Choke Mode Cavity, Jpn. J. Appl. Phys, Vol. 31,1992, pp. L1567L1570, No. 1lA 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA041  HighEnergy MicroBuncher Based on the mmWavelength Dielectric Structure  303 


The protondriven plasma wakefield acceleration is a recently proposed technique promising a GeV/m rate of acceleration to a TeVscale energy in a single plasma stage. In order to excite highamplitude plasma wakefields a long proton bunch from a synchrotron should be broken into a sequence of submm long microbunches which can drive the plasma oscillations resonantly. We suggest a novel approach to produce the required train of microbunches using collinear wakefield acceleration in a dielectricloaded structures. First the energy modulation is introduced into the proton beam with the help of the mmwavelength dielectric accelerating structure. Then the energy modulation is transformed into the longitudinal microbunching using proton beamline with magnetic dipoles. Beam dynamics simulations were used to find the appropriate parameters of the dielectric accelerating structure, driving electron bunch and the beam focusing system.  
Poster TUPSA041 [0.792 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA042  Software Complex "Dynpart" for the Calculation of SelfConsistent Beam Dynamics in Dielectric Wakefield Accelerating Structures  307 


Dielectric waveguide structures are a basis for development of new generation of accelerators on the basis of a wakefield method of the charged particle acceleration, beam manipulation, and also free electron lasers. A selfcoordinated dynamics of relativistic particle beams in a single layer cylindrical waveguide with dielectric filling is investigated. The computer code is developed based on mathematical expressions for the analysis of the radial dynamics. The possibility of modeling interaction of different types of particles in a bunch is realized. Influence of both own wake fields and external fields of focusing and deflection systems on bunch dynamics are analyzed.  
Poster TUPSA042 [0.860 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA043  Wake Field Components in a Rectangular Accelerating Structure With Dielectric Anisotropic Loading  310 


Dielectric lined waveguides are under extensive study as accelerating structures that can be excited by electron beams. Rectangular dielectric structures are used both in proof of principle experiments for new accelerating schemes and for studying the electronic properties of the structure loading material. Some of the materials used for the waveguide loading of accelerating structures possess significant anisotropic properties. General solutions for the fields generated by a relativistic electron beam propagating in a rectangular dielectric waveguide have been derived using the mode expansion method for the transverse operators of the Helmholtz equation. An expression for the combined Cherenkov and Coulomb fields obtained in terms of a superposition of LSM and LSEmodes of rectangular waveguide with anisotropic dielectric loading has been obtained. Numerical modeling of the longitudinal and transverse (deflecting) wakefields has been carried out. It is shown that the dielectric anisotropy influences to excitation parameters of the dielectriclined waveguide with the anisotropic loading.  
Poster TUPSA043 [1.334 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
TUPSA071 
Excitation of dd Nuclear Fusion by Pyroelectric Accelerator  


Funding: The research was supported by the grant from the Russian Science Foundation (project 161910535) Pyroelectric crystals, such as LiNbO3 or LiTaO3 being under influence of temperature gradient produce electric field up to 10^{6} kV/cm. It was experimentally confirmed that the crystal installed in the chamber with residual gas pressure about 1 mTorr can be used for generation of XRays*, electrons** and neutrons***. The unique property to generate high potential without external high voltage power supply can be used to develop compact electron and ion accelerators with particles energies up to several hundred keV for different applications. We have developed the laboratory experimental setup for exciting dd nuclear fusion by pyroelectric crystal LiTaO3. The setup allows to provide and control the neutrons generated during dd nuclear fusion. It is shown that the neutrons with energy 2.45 MeV can be generated starting from a level of electric potential generated by pyroelectric crystal about 30 kV, in contrast to the typical neutron tubes which need the applied outer high voltage level about 100 kV. The results of the neutrons observation and possible construction of the pyroelectric neutron generator are presented. * Brownridge J.D. // Nature. 1992. V. 358. P. 287. ** Brownridge J.D., Shafroth S.M. // Appl. Phys. Lett. 2001. V. 79. P. 3364. *** Naranjo B, Gimzewski J. and Putterman S, Nature 434 (2005) 1115. A 51, 42, 2015 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB001 
Particle Swarm Method for Optimization of Special RFQ Channel  


Particle swarm method is used for optimization of special RFQ channel. There is a considered possibility of separate preacceleration of the multicharged ions with the different A/Z ratios in single radiofrequency quadrupole (RFQ) channel. Magnitude of the injection energy into RFQ is about a few keV/u, magnitude of the injection energy into booster or following linac cascade are 300 keV/u. Aim of optimization to change regular part of RFQ or matching section profile to improve outut parameters of the beams particles, such as current, emittance, phase width, etc. Phase ellipses of the beams partiles on input RFQ may be arbitrary oriented in phase space. In this case particle swarm method is effictive enough for optimizations.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB002  First Experimental Demonstration of the Extraction of Low Energy Beams from the ESR to the CRYRING@ESR  351 


The CRYRING@ESR facility will provide the unique possibility for studying properties of highly charged cooled stable and shortlived ions stored at low energy for atomic and nuclear research within the FAIR project. Heavy ion beams will be stored, cooled and decelerated to energies between 10 and 4 MeV/u in the ESR and then delivered to the CRYRING@ESR. There is no dedicated kicker magnet for the fast extraction in this direction. However, a specially developed distorted closed orbit of the beam stored in the ESR in combination with the injection kicker has been suggested for the extraction and experimentally verified in 2014. In the first experiment the ion beam was extracted and transported over a distance of 20 m towards the CRYRING@ESR. In the 2016 machine development run the heavy ion beam was successfully extracted from the ESR and delivered to the first fluorescent screen inside CRYRING@ESR for the first time. Detailed ionoptical simulations as well as the experimental results will be discussed.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB003  Design Relativistic Charged Particle Beam Transportation Channels  354 


This paper contains results of development new version (2016) of program for channels design highenergy beams of charged particles. The program includes application package modeling the dynamics of charged particles in the channel, operational tools to change the channel parameters, channel optimization tools and processing output beam parameters with graphic and digital presentation of its key features. The MATLAB (Scilab) was used as programming tools, allows to make the source code modular, compact and scalable. New objectoriented graphical user interface provides an interactive assembly of new or modernization of previously developed channel  selection and arrangement of its elements, as well as the installation and the variation of their parameters. The relational database, which is part of the new version of program, providing additional functionality to the designer. It is intended for storage of the current development, and to preserve the previously completed projects, as well as other useful designer related information. A multioutput of all the main parameters of the beam at the output, as well as anywhere in the channel. In this case, the developer has the ability to interactively search and setting the optimum mode of operation channel.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB005  On the Minimax Problem of Beam Dynamics Optimization  360 


The problem of simultaneous optimization of the ensemble of trajectories and some selected trajectory arises in the research of the charged particle beam dynamics. The present work suggests the use of a smooth functional for the evaluation of the selected trajectories and a minimax functional for the evaluation of the dynamics of the beam of trajectories. A combination of those functionals is considered.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB006  On Modeling and Optimization of Intense Quasiperiodic Beam Dynamics  363 


The paper is devoted to quasiperiodic beam dynamics investigation. Particle density is modeled by trigonometric polynomial. Space charge field is represented in the similar form. This approach is applied to beam dynamics investigation in klystrontype buncher. Numerical algorithm of polynomial coefficients calculation from the positions and impulses of model particles is formalized. As a result Coulomb field intensity is expressed in the form of integral over the set of particle phase states. Integrodifferential beam evolution model is presented. Analytical expression of the variation of beam dynamics quality criterion is obtained. It makes possible directed methods using for beam dynamics optimization.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB007  On Application of Monte Carlo Method for Poisson Problem Solving  367 


The paper presents the application of random grid walk for Dirichlet problem solving for Poisson equation. Boundary value problem is discretized and reduced to the system of linear algebraic equations. The matrix of this system is used for stochastic matrix constructing. Thus, there is a possibility of Markov chains obtaining. The special random value is defined on Markov chain trajectories; this value is used for approximation of the desired solution. The advantages of this method are discussed in the paper. The algorithm is applied for electric potential calculation in the cell of support lattice of exit window in largeaperture electron accelerator.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB008  About Behavior of Electrons and Ions in the Accelerating Interval  371 


The behavior of electronion ensemble accelerated in the diode is studied. Hot electrons are described by means of the distribution function which is a solution of the collisionless kinetic function depending not only from integrals of motion. To describe the cold ions the hydrodynamics equations are used. The possibility of the ionsound velocity excess of the ions is shown. The expression for the electron gas pressure is received. The dependence of relative density of the ions on the coordinate is discussed in the case of closed phase trajectories.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB009  The Behavior of Powerful Relativistic Electron Beam With Elliptical CrossSection in Longitudinal Magnetic Field  373 


The behavior of relativistic intense electron beam with elliptical crosssection moving in a longitudinal magnetic field is investigated with the help of selfconsistent model. The solutions for the beam envelopes are obtained in the case of the beam current differed from Alfven limit and the beam charge neutralized. The conditions of stationary beam propagation are determined, however it is discovered that for the case of nonzero selfconsistent magnetic field the stationary beam propagation is violated, the partial emittance oscillations being observed. The found time dependence of the partial emittances and the beam envelopes illustrates the effect of emittance transfer caused by the coupled particle motion in magnetic field.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB010  The Use of MultiObjective Genetic Algorithms for Accelerator and Light Source Optimization  376 


Funding: The reported study was funded by RFBR according to the research project No. 163200336 mol_{a}. The nonlinear effects are very important in the development of new accelerators and synchrotron light sources. Nowadays they are one of the main factors limiting the achievement of the required facility parameters. In many cases in the development of new accelerators the analytical estimations give very coarse results and in some cases they don't apply at all. Therefore, the best way to research and design accelerators is to use numerical simulation. Nevertheless, very often during complex physical process simulation (taking into account many nonlinear effects) the use of classical optimization methods is difficult and does not give the desired results. The article deals with the application of multiobjective optimization using genetic algorithms for accelerators and light sources. These algorithms allow both simple linear and complex nonlinear accelerator structures to be optimized with the same effectiveness to achieve the required facility parameters. 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB011  About Development System for the Analysis of Charged Particle Beam Dynamics  379 


Modern research process of scientific problems often requires large computational resources. To solve them we have to use distributed computing systems. Researcher groups need to use them simultanieously and mostly remotely. The paper describes build of the distributed system for collaborative research process. As example was chosen a problem of the optimization dynamics charged particle beams using highperformance computing systems. The solution of many topical tasks leads to nonlinear optimization problems for example the controlling beams of charged particles. Optimization is performed by minimizing some quality functional the choice of which is a corollary fact that the control functions which provides a functional minimum should determine the accelerating structure with the desired characteristics. The problem is usually formulated as finding the control functions for which the controlled system satisfies the given constraints. There is a necessity of the quality functional choice which ensures the problem solution. Research objectives: the development of a distributed informationcomputational system for the analysis of charged particle beam dynamics.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB012  On The Beam Dynamics Simulation In The Injection System  382 


When developing a particle accelerator for generating the highprecision beams, the injection system design is of importance, because it largely determines the output characteristics of the beam. At the present paper we consider the injection systems consisting of electrodes with given potentials. The design of such systems requires carrying out simulation of beam dynamics in the electrostatic fields. For external field simulation we use the new approach, proposed by A.D. Ovsyannikov, which is based on analytical approximations, or finite difference method, taking into account the real geometry of the injection system. The software designed for solving the problems of beam dynamics simulation and optimization in the injection system for nonrelativistic beams has been developed. Both beam dynamics and electric field simulations in the injection system, that use analytical approach and finite difference method have been made and the results presented in this paper.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB013  On Approach for Resonant Frequency Tuning in Drift Tube Structures on the Designing Stage  386 


Current research considers the interdigital Hmode linear resonant accelerator with drift tubes mounted inside the cavity. The focus of the study has been on the dependence of resonant frequency on the parameters of the geometry. Since AlternatingPhaseFocusing (APF) type of accelerator is investigated, the efficiency of the operation depends on the synchronization of the charged particle velocity and accelerating field oscillations. Researchers can control it by the variation of longitudinal size of the cells of the structure (periods). On the other hand, the effective performance of the resonant system requires the equality of resonant frequencies of its cells, because it affects the uniformity of accelerating field distribution along the axis. The diversity of cells longitudinal sizes causes the deviation from the particular value of the resonant frequency. This aberration can be eliminated by the adjustment of other geometry parameters: period's length, gap ratio and drift tube diameter. We have conducted the study to analyze the relation between resonant frequency and these values. Using the this dependency we can tune the geometry parameters of each period in the structure. We first create the computeraided design (CAD) geometry model of the accelerator cavity. Then, using Comsol Multiphysics, the platform for physicsbased modeling and simulation, we conduct the calculation of resonant frequencies.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB014  Symmetrical Parameterization for 6D Fully Coupled OneTurn Transport Matrix  389 


Symmetry properties of 6D and 4D oneturn symplectic transport matrices were studied. A new parameterization was proposed for 6D matrix, which is an extension of the LebedevBogacz parameterization for 4D case. The parameterization is fully symmetric relative to radial, vertical and longitudinal motion. It can be useful for lattices with strong coupling between all degrees of freedom.  
Poster WEPSB014 [0.908 MB]  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB015  On the IntegroDifferential Equations for Dynamics of Interacting Charged Particles Modeling  392 


In this paper we investigate the integrodifferential model for the dynamics of charged particles with smooth interaction for the analysis and optimization of intense charged particle beams motion in accelerating and focusing structures. Introduced mathematical models allows us to calculate the first variation of the different functionals characterizing the desired parameters of accelerators in analytical form. Thus mathematical model can be effectively used in the analysis and optimization of charged particles dynamics in accelerators.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB016  Coupled Bunch Instabilities in the Storage Rings  395 


Funding: The reported study was funded by RFBR according to the research project No. 163200335 mol_{a}. Coherent instabilities of the bunched beam are one of the reasons that limit a total beam current in the storage rings. Although there are solutions of this problem, the estimation and reduction of wakefields influence on the longitudinal beam dynamics remain important things. In the article we return to the subject of coherent instabilities of the unevenlyfilled bunches in the storage rings. 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB017  Chromatic and Nonlinear Dynamics of Antiprotons Injected to Collector Ring at FAIR  398 


Collector Ring (CR) is the storage ring for capturing and stochastic cooling of secondary beams of antiprotons or secondary ions. It is a part of a FAIR project being presently at the early start of a construction phase. Due to the proposed large acceptance in both transverse and longitudinal phase spaces, the chromatic aberrations and their correction with sextupoles are very important for capture efficiency. Calculations results for beam transfer from Pbar target to the ring are presented.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB018  Beam Dynamics Calculation of Electron Bunch Sequence Passing Through Dielectric  401 


Funding: Grant 150208745 from the Russian Foundation for Basic Research. The present work involves modeling the electron beams dynamics for development of new THz source based on cylindrical dielectric waveguide. The sequence of relativistic electron bunch generates Cherenkov radiation, which is a superposition of the TM and HEMmodes. The distances between bunches is selected for creating of monochromatic THz radiation*. We made calculation of beam dynamics taking into account the Space Charge and focusing field with help of original BBU 3000 code. We present result for different parameters of waveguide and different offsets of bunches. The main parameter of radiation was investigated: length of wave pocket, monochromaticity and frequency. * Altmark A, Kanareykin A. The source of THz radiation based on dielectric waveguide excited by sequence of electron bunches// 2016 J. Phys.: Conf. Ser. 732 012037 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB019  Orbital Motion in Multipole Fields via Multiscale Decomposition  404 


We present applications of methods of nonlinear local harmonic analy sis in variational framework for a description of multiscale decomposition in polynomial/rational approximations (up to any order) for nonlinear motions in arbitrary npole fields. Our approach is based on the methods allowed to consider dynamical beam/particle localization in phase space and provided exact multiscale representations via nonlinear highlocalized eigenmodes for observables with exact control of contributions to motion from each underlying hidden scale.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB020  On a New Approach for Description of SelfConsistent Distributions for a Charged Particle Beam  407 


The present report is concerned with the problem of particle phase space distributions for a charged particle beam. A new approach is presented. It provides the possibility to specify various coordinates in the phase space. The main attention has been focused on the case where motion integrals are taken as phase coordinates. Using such coordinates, one can obtain a lot of selfconsistent distributions. Some distributions for a breathing beam are considered as examples: generalized Brillouin flow, generalized KV distribution, and others. Besides, this approach allows simple graphical representation of various selfconsistent distributions.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB021 
McMillan Map and Its Application for Accelerator Physics  


McMillan map is an important discrete time model of 1D transverse nonlinear accelerator lattice. We will discuss a full analytical theory based on parametrization of individual canonical biquadratic curves*. Using the normal forms provided in* we were able to generalize this result to entire phaseplane of finite trajectories and calculate mechanical actionangle coordinates. In addition we will present an alternative way of analytical extraction of phaseadvance variable out of map's invariant of motion (Danilov Theorem). The connection of these results with possible 2D generalizations, axially symetric and 2Dmagnetostatic McMillan lenses, is presented.
Iatrou, A., & Roberts, J. A. (2002). Integrable mappings of the plane preserving biquadratic invariant curves II. Nonlinearity, 15(2), 459. 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB023  Formation of a Given Distribution of the Beam in the Periodic Channel  411 


The article considers the problem of forming a predetermined distribution density of the beam (in the phase or configuration space) in a periodic channel. The proposed approach is based on a method of constructing a beam mapping in the form of a truncated series consisting from matrices up to necessary order of nonlinearities. Similar approach allows us to formulate the given task as an optimization problem for some special functionals, created from parameters of the accelerator. Some results of the testing tasks are demonstrated.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB024  Program Complex for Modeling of the Beam Transverse Dynamics and Orbit Correction in Nuclotron, LHEP JINR  414 


Program complex for modelling of transverse dynamic of particle beams and orbit correction at Nuclotron synchrotron (LHEP JINR) is considered in current work. The program complex provides calculation of transverse dynamic of charged particle beams in Nuclotron and its axis, based on linear model with transport matrix of lattice elements, calculation of Nuclotron Twiss parameters, acceptance and emittance of the beam. A possibility to optimize the location of beam position monitors (pickup) and multipole correctors is foreseen as well as calculation of the orbit with measuring data of pickup stations of Nuclotron. Program complex includes realizations of orbit correction algorithms with response matrix and provides correction of the orbit in Nuclotron. User's graphic interface provides interaction of user with program complex, including performance on demand of the user of separate functions of the program complex, providing input and maintenance of parameters, download from file and record into the file of parameters and calculation results, graphical view of the calculations results in program complex. Program software environment is integrated with MADX program (upload, processing of data to and from, visualization). Format of input and output data is compatible with relevant MADX format.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB028  Computer Simulation of the Slow Beam Extraction From Nuclotron  422 


The results of modelling of ion's motion during beam slow extraction from Nuclotron at the energy 6 GeV/Amu are shown in this work. Influence of sextupole field component of dipole magnets and fringe fields of Lambertson's magnets on the characteristics of extracted beam was analyzed. The calculations have been done via MadX.
* Issinsky I., Mikhaylov V., Shchepunov V. Nuclotron lattice. Proceedings of EPAC 1990, p.458. ** Kovalenko A. Nuclotron: status and future. Proceedings of EPAC 2000, p.554. *** Agapov N. et al. Slow beam extraction from Nuclotron. Proceedings of the 2001 Particle Accelerator Conference, p.1646. 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB039  New Techniques for Operation and Diagnostics of Relativistic Electron Coolers  449 


The Helmholtz Institut Mainz (HIM) performs experiments related to possible improvements of highenergy d.c.electron coolers. Results and activities concerning noninvasive beam diagnostics and beam control at large operating currents will be shown. Furthermore, progress of our project to use turbo generators as a means for potentialfree power generation in highenergy electron coolers is presented.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB041  Stochastic Cooling System at NICA Project  455 


Stochastic cooling system is one of the crucial elements for luminosity preservation at NICA acceleratorcollider complex. The foundation of main parameters of the stochastic cooling system is provided. The preparatory experimental work for longitudinal stochastic cooling was performed at Nuclotron accelerator. The description of Nuclotron system components, adjustment algorithms and remote control is given.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
WEPSB071  Charged Beams Optical Properties of Scattering Media  521 


In some accelerator based applications scattering media are placed on beam path. It may be internal beam target, dielectric film or metallic foil to separate volumes with different gas pressure during beam extraction from accelerator, roughing target in charge changing injection in circular accelerator and storage ring and so on. In particular cases detailed knowledge of beam dynamics in scattering media is necessary. This is especially true, for example, in the case of recovery energy accelerator where accelerated in superconducting linac high energy electron beam is directed again to accelerator after interaction with target. Distribution function for scattering angle and transverse displacement is used to derive the phaseplane portrait transformation in scattering medium for incoming charged particle beam. The phaseplane portrait of scattered beam depends strongly on incoming beam ellipse proportions and orientation, and simple matching conditions and expression has been derived. It is shown as well that in heterogeneous medium incident beam experiences trajectory refraction at the out coming medium border. Refraction factor has been calculated for an offnormal incidence of a beam. It is worth to note that refractive property of scattering media may for used for beam focusing.  
Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
THPSC036 
Application of Pyroelectric Materials in Accerelator Physics  


Funding: The work was supported by a program of the ministry of education and science of The Russian Federation for higher education establishments, project 14.578.21.0192 (RFMEFI57816X0192). Pyroelectric materials can be used for generation selffocused electron and positive ions beams with energy up to a 100 keV and in construction of miniature pyroelectric accelerators, which might be used for XRay, electron beam, neutrons generation. A new type detector of a charged particle beam based on pyroelectric crystals is proposed and demonstrated experimentally in *. In a proofofprinciple experiment, we demonstrated deflection of a lowenergy electron beam. Also, the applicability of polarized ferroelectric ceramics as a pyroelectric material in a pyroelectric accelerator is shown by experiments**. * A.N. Oleinik et al., Pyroelectric deflector of charged particle beam, 2016 JINST 11 P08007 ** A.V. Shchagin et al. Ferroelectri' ceramics in a pyroelectric accelerator, Appl. Phys. Lett. 107, 233505 (2015). 

Export •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  