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focusing

Paper Title Other Keywords Page
MOPEA026 Update on the Innovative Carbon/Proton Non-scaling FFAG Isocentric Gantries for the Cancer Therapy proton, ion, superconducting-magnet, betatron 124
 
  • D. Trbojevic
    BNL, Upton, Long Island, New York
 
 

There is a dramatic increase in number of proton/carbon cancer therapy facilities in recent years due to their clear advantage over other radiation therapy treatments. The cost of ion cancer therapy is still prohibitive for most of the hospitals, and the dominant costs are beam delivery systems. We previously presented designs of carbon and proton isocentric gantries using non-scaling alternating gradient fixed field magnets (NS-FFAG) *, where gantry magnet size and weight are dramatically reduced. The weight of the transport elements of our NS-FFAG carbon isocentric gantry is 1.5 tons compared to 130 ton gantries recently constructed Heidelberg C facility at Heidelberg. We have also designed a proton NS-FFAG permanent magnet gantry with an estimated weight of 500 kg. We present an update on these designs.


* D. Trbojevic, B. Parker, E. Keil, and A. M. Sessler,
"Carbon/proton therapy: A novel gantry design," PHYSICAL REVIEW SPEC.
TOP. - ACCELERATORS AND BEAMS 10, 053503 (2007).

 
MOPEA055 Development of the Focusing System for a Highly Bright X-ray Generator electron, target, gun, simulation 199
 
  • T. Sakai, M. Ikeda, S. Ohsawa, T. Sugimura
    KEK, Ibaraki
  • N. Sakabe
    FAIS, Akatsuka, Tsukuba, Ibaraki
 
 

A new type of rotating anticathode X-ray generator has been developed, in which the electron beam irradiates the inner surface of a U-shaped Cu anticathode. A high-flux electron beam is focused on the inner surface of the anticathode by optimizing the geometry of the bending magnet. In order to minimize the sizes of the X-ray source, the electron beam is focused in a short distance by the combined function magnets. A shape on the surface of the bending magnet was determined by simulation. The beam trajectories and bending magnet were optimized by the General Particle Tracer(GPT) and Opera-3D code simulation. The result of simulation clearly shows that the bending magnet gap surface angle parameters are important to the beam focused in a short distance. FWHM sizes of the beam from the simulation were obtained to be 0.45mm(horizontal) and 0.05mm(vertical) of which the anticathode with a beam voltage and current were 120kV and 75mA, respectively. The effective brilliance to be about 500kW/mm2 simulated predict that with the supposition of a two-dimensional Gaussian distribution. In this paper, the optimization of the focusing magnet and the results of the prototype test are reported.

 
MOPEB016 Development of Upgraded Magnetic Instrumentation for CERN's Real-time Reference Field Measurement Systems controls, diagnostics, synchrotron, quadrupole 310
 
  • M.C.L. Buzio, P. Galbraith, S.S. Gilardoni, D. Giloteaux, G. Golluccio, C. Petrone, L. Walckiers
    CERN, Geneva
  • A. Beaumont
    EBG MedAustron, Wr. Neustadt
 
 

At CERN, the control of five of the accelerators in the injector chain (i.e. PS, PS Booster, SPS, LEIR and AD) is based upon real-time magnetic measurements in a reference magnet. These systems ("B-trains") include usually a field marker to signal the achievement of a given field value, complemented by one or more pick-up coils to integrate flux changes. Recently, some issues have been raised concerning long-term reliability and possible performance improvements, in terms of both resolution and operational flexibility, for these systems. This paper reports the results of R&D activities launched to address these concerns, namely: the development of a novel ferrite gradient compensator to enable dynamic NMR field marking in the PS' combined function magnets; and the preliminary design of a standardized electronic acquisition and conditioning system aimed at enabling the requested improvements and at facilitating rapid maintenance interventions.

 
MOPEB034 Progress of Design Study of Interaction Region Quadrupoles for the SuperKEKB quadrupole, solenoid, permanent-magnet, electron 346
 
  • M. Tawada, Y. Funakoshi, M. Iwasaki, H. Koiso, A. Morita, Y. Ohnishi, N. Ohuchi, K. Oide, K. Tsuchiya, Z.G. Zong
    KEK, Ibaraki
 
 

KEK is studying the design of the interaction region quadrupoles for the SuperKEKB of which the two beams of 4GeV/7GeV for LER/HER have a crossing angle of 83 mrad. For each beam, the final beam focusing system consisting of superconducting and permanent magnets is studied. The superconducting quadrupoles close to the interaction point for each beam are located in the compensation superconducting solenoid which cancels the solenoid field by the particle detector, Belle. These magnet parameters are optimized to obtain higher luminosity. In this paper, the design progress of final focusing system and magnets will be reported.

 
MOPEB050 Superconducting Magnets for SCRF Cryomodules at Front End of Linear Accelerators quadrupole, dipole, cryomodule, linac 379
 
  • V.S. Kashikhin, N. Andreev, Y. Orlov, D.F. Orris, M.A. Tartaglia
    Fermilab, Batavia
 
 

Linear accelerators based on a superconducting technology need various superconducting magnets installed inside SCRF Cryomodules. At front end of Linear Accelerators installed relatively weak iron-dominated magnets. The focusing quadrupoles have integrated gradients in the range of 1 T - 4 T, and apertures 35 mm - 90 mm. At Fermilab were designed superconducting dipole correctors, and quadrupoles for various projects. In the paper presented these magnet designs, and test results of fabricated dipole corrector. There are also briefly discussed: magnetic and mechanical designs, quench protection, cooling, fabrication, and assembly inside cryomodule.

 
MOPEB061 Fabrication, Testing and Modeling of the MICE Superconducting Spectrometer Solenoids solenoid, vacuum, emittance, superconductivity 409
 
  • S.P. Virostek, M.A. Green, F. Trillaud, M.S. Zisman
    LBNL, Berkeley, California
 
 

The Muon Ionization Cooling Experiment (MICE), an international collaboration sited at Rutherford Appleton Laboratory (RAL) in the UK, will demonstrate ionization cooling in a section of a realistic cooling channel using a muon beam. A five-coil superconducting spectrometer solenoid magnet will provide a 4 tesla uniform field region at each end of the cooling channel. Scintillating fiber trackers within the 400 mm diameter magnet bore tubes measure the emittance of the beam as it enters and exits the cooling channel. Each of the identical 3 meter long magnets incorporates a three-coil spectrometer magnet section and a two-coil section that matches the solenoid uniform field into the MICE cooling channel. The cold mass, radiation shield and leads are kept cold by means of three two-stage cryocoolers and one single-stage cryocooler. After incorporating several design changes to improve the magnet cooling and reliability, the fabrication and acceptance testing of the spectrometer solenoids has been completed. The key features of the spectrometer solenoid magnets are presented along with the details of a finite element model used to predict the thermal performance of the magnets.

 
MOPEB065 Liquid Hydrogen Absorber for MICE vacuum, cryogenics, scattering, instrumentation 421
 
  • S. Ishimoto, S. Suzuki
    KEK, Ibaraki
  • M.A. Green
    LBNL, Berkeley, California
  • Y. Kuno, M.Y. Yoshida
    Osaka University, Osaka
  • W. Lau
    OXFORDphysics, Oxford, Oxon
 
 

Liquid hydrogen absorbers for the Muon Ionization Cooling Experiment (MICE) have been developed, and the first absorber has been tested at KEK. In the preliminary test at KEK we have successfully filled the absorber with ~2 liters of liquid hydrogen. The measured hydrogen condensation speed was 2.5 liters/day at 1.0 bar. No hydrogen leakage to vacuum was found between 300 K and 20 K. The MICE experiment includes three AFC (absorber focusing coil) modules, each containing a 21 liter liquid hydrogen absorber made of aluminum. The AFC module has safety windows to separate its vacuum from that of neighboring modules. Liquid hydrogen is supplied from a cryocooler with cooling power 1.5 W at 4.2 K. The first absorber will be assembled in the AFC module and installed in MICE at RAL.

 
MOPEB067 The Novel Method of Focusing-SANS with Rotating Magnetic Sextupole Lens and Very Cold Neutrons neutron, sextupole, scattering, permanent-magnet 427
 
  • M. Yamada, M. Ichikawa, Y. Iwashita, T. Kanaya, H. Tongu
    Kyoto ICR, Uji, Kyoto
  • K.H. Andersen, P.W. Geltenbort, B. Guerard, G. Manzin
    ILL, Grenoble
  • M. Bleuel
    RID, Delft
  • J.M. Carpenter, L. Jyotsana
    ANL, Argonne
  • M. Hino, M. Kitaguchi
    KURRI, Osaka
  • K. Hirota
    RIKEN, Wako, Saitama
  • S.J. Kennedy
    ANSTO, Menai
  • K. Mishima, H.M. Shimizu, N.L. Yamada
    KEK, Ibaraki
 
 

We have developed a motorized magnetic lens for focusing of pulsed white neutron beams. The lens is composed of two concentric permanent magnet arrays, in sextupole geometry, with bore of 15 mm and magnet length of 66 mm. The inner magnet array is stationary, while the outer array is rotated (the frequency of the modulation of magnetic field inside the bore ν ≤ 25Hz), providing a sextupole magnetic field gradient range of 1.5x104T/m2 ≤ g' ≤ 5.9x104T/m2. By synchronization of a pulsed neutron beam with the sinusoidal modulation of the magnetic field in the lens, the beam is focused, without significant chromatic aberration, over a wide neutron wavelength band. We have constructed a focusing-SANS (Small Angle Neutron Scattering) test bed on the PF2-VCN (Very Cold Neutron) beam line at the Institut Laue-Langevin in Grenoble. The beam image size matched the source size (≈ 3mm) over of wavelength range of 30Å ≤ λ ≤ 48Å with focal length of ~ 2.3 m. Further, we have demonstrated the performance of this device for high resolution time-of-flight (tof) SANS for a selection of polymeric & biological samples, in a compact geometry of just 5 m.

 
MOPEC044 A Fixed Field Alternating Gradient Accelerator With Long Straight Sections lattice, synchrotron, optics, dynamic-aperture 558
 
  • S. Machida
    STFC/RAL/ASTeC, Chilton, Didcot, Oxon
 
 

The lattice of a Fixed Field Alternating Gradient (FFAG) accelerator normally has high symmetry. The whole ring consists of many identical cells which have a simple FODO, double or triplet focusing unit. There is, however, no real reason for an FFAG lattice to have high symmetry, except for a linear nonscaling design which relies on high symmetry to avoid betatron resonances. We propose an FFAG lattice design with a superperiod that makes it possible to have long straight sections for injection, extraction and rf cavities. We discuss how to introduce a superperiod structure. The impact on dynamic aperture, dispersion function, longitudinal dynamics as well as the advantage of having long straight sections will be presented.

 
MOPEC081 The Concept Design of the CW Linac of the Project X cavity, linac, cryomodule, lattice 654
 
  • N. Solyak, E. Gianfelice-Wendt, I.G. Gonin, S. Kazakov, V.A. Lebedev, S. Nagaitsev, J.-F. Ostiguy, N. Perunov, G.V. Romanov, V.P. Yakovlev
    Fermilab, Batavia
 
 

The concept design of the 2.5 GeV superconducting CW linac of the Project X is discussed. The linac structure and break points for different cavity families are described. The results of the RF system optimization are presented as well as the lattice design and beam dynamics analysis.

 
MOPEC082 Lattice Design for Project -X CW Superconducting Linac linac, cavity, cryomodule, optics 657
 
  • N. Solyak, I.G. Gonin, J.-F. Ostiguy, V.P. Yakovlev
    Fermilab, Batavia
  • N. Perunov
    MIPT, Dolgoprudniy, Moscow Region
 
 

In this paper, we discuss beam dynamics optimization for a proposed continuous wave (CW) Project-X superconducting (SC) linac. This 2.6 GeV linac has an average current (over few microseconds) of 1 mA, with a pulsed current of up to 5-10 mA. The beam power is 2.6 MW. The CW linac consists of a low-energy 325 MHz section (2.5 MeV - 470 MeV) containing three families of SC single-spoke resonators and one family of triple-spoke resonators followed by a high-energy 1.3 GHz SC section (470 MeV - 2.6 GeV) containing squeezed elliptical (β=0.81) and ILC-type (β=1) cavities. Transverse and longitudinal dynamics in the CW linac are modeled assuming a peak current 10 mA. Different options for focusing structures are considered: solenoidal, doublet, and triplet focusing in the low-energy section; FODO and doublet focusing in the high energy section.

 
MOPD048 Primary Design of DTL for CPHS DTL, rfq, proton, linac 795
 
  • S.X. Zheng, X. Guan, J. Wei, H.Y. Zhang
    TUB, Beijing
  • J.H. Billen, L.M. Young
    TechSource, Santa Fe, New Mexico
  • J. Li, D.-S. zhang
    NUCTECH, Beijing
  • J.H. Li
    CIAE, Beijing
  • J. Stovall
    CERN, Geneva
  • Y.L. Zhao
    IHEP Beijing, Beijing
 
 

The Compact Pulsed Hadron Source (CPHS) has launched at Tsinghua University to develop a university neutron source based on a 13 MeV, 50 mA proton linac which consists of ECR ion source, LEBT, RFQ and DTL. The primary design of the DTL for the CPHS is presented in this paper, which includes the dynamics calculation, RF field optimization and error analysis. This DTL can accelerate 50 mA proton beam from 3MeV to 13 MeV with 1.2 MW RF power input. The DTL is directly connected after RFQ without Medium-Energy Beam-Transport line (MEBT). PMQs are adopted in drift tubes focusing. The magnetic field gradient of PMQs are programmed to match the transverse restoring forces at the end of the RFQ to avoid missmatch and avoid parametric resonances.

 
MOPD062 H-Mode Accelerating Structures with PMQ Focusing for Low-Beta Ion Beams simulation, ion, linac, quadrupole 828
 
  • S.S. Kurennoy, J.F. O'Hara, E.R. Olivas, L. Rybarcyk
    LANL, Los Alamos, New Mexico
 
 

We are developing high-efficiency normal-conducting RF accelerating structures based on inter-digital H-mode (IH) cavities and the transverse beam focusing with permanent-magnet quadrupoles (PMQ), for beam velocities in the range of a few percent of the speed of light. Such IH-PMQ accelerating structures following a short RFQ can be used in the front end of ion linacs or in stand-alone applications, e.g. a compact deuteron-beam accelerator up to the energy of several MeV. Results of combined 3-D modeling for a full IH-PMQ accelerator tank ' electromagnetic computations, beam-dynamics simulations with high currents, and thermal-stress analysis ' are presented. The accelerating field profile in the tank is tuned to provide the best beam propagation using coupled iterations of electromagnetic and beam-dynamics modeling. A cold model of the IH-PMQ tank is being manufactured.

 
MOPD075 Effect of Secondary Ions on the Electron Beam Optics in the Recycler Electron Cooler ion, electron, antiproton, quadrupole 867
 
  • A.V. Shemyakin, L.R. Prost, G.W. Saewert
    Fermilab, Batavia
 
 

AAntiprotons in Fermilab's Recycler ring are cooled by a 4.3 MeV, 0.1 ' 0.5 A DC electron beam (as well as by a stochastic cooling system). The unique combination of the relativistic energy (γ = 9.49), an Ampere - range DC beam, and a relatively weak focusing makes the cooling efficiency particularly sensitive to ion neutralization. A capability to clear ions was recently implemented by way of interrupting the electron beam for 1-30 μs with a repetition rate of up to 40 Hz. The cooling properties of the electron beam were analyzed with drag rate measurements and showed that accumulated ions significantly affect the beam optics. For a beam current of 0.3 A, the longitudinal cooling rate was increased by factor of ~2 when ions were removed.

 
MOPE020 Beam Based Alignment of the Beam Position Monitor at J-PARC RCS synchrotron, alignment, dipole, optics 1005
 
  • N. Hayashi, H. Harada, H. Hotchi
    JAEA/J-PARC, Tokai-Mura, Naka-Gun, Ibaraki-Ken
  • M. Tejima
    KEK, Ibaraki
  • T. Toyama
    J-PARC, KEK & JAEA, Ibaraki-ken
 
 

The J-PARC RCS is an M-Watt class rapid cycling synchrotron and it has delivered an intensive beam to the neutron target and the MR. In order to overcome large space charge effect, its physical aperture is designed to be more than 250mm in diameter. Even though its chamber size is very large, the BPM system gives precise data to determine beam optics parameters of the ring. For this purpose, only relative positions and resolutions are important. However, for much higher intensity, the absolute beam position and accurate COD correction are indispensable. We have carefully installed the BPM and measured the position with respect to the quadrupole magnet (QM) nearby. But it is also necessary to estimate its absolute position by using beam. If each QM could be controlled independently, the simple beam based alignment technique can be utilized, but it is not the case for RCS. There are seven families of QM, and only each family can be controlled at one time. We developed a new technique by expanding the simple method for the case of multiple QM focusing changed simultaneously, and applied to the J-PARC RCS. The paper describes this method and discussed about experimental results.

 
MOPE040 Investigation of the Formation of a Hollow Beam in the Plasma Lens plasma, ion, emittance, target 1062
 
  • A.A. Drozdovsky, N.N. Alexeev, S.A. Drozdovsky, A. Golubev, A.P. Kuznetsov, Yu.B. Novozhilov, S.M. Savin, B.Y. Sharkov, V.V. Yanenko
    ITEP, Moscow
 
 

Application of a plasma lens to focusing of ion beams has a number of essential advantages. It is important that the focusing capabilities of the lens depend on the stage of plasma development. Under certain conditions a magnetic field is linear, that allow to focus the beam to a very small spot. In other conditions, the magnetic field is nonlinear, that allow formation of hollow and other beam structures. Hollow cylinder-shaped beams of high energetic heavy ions are efficient drivers for implosion targets to create matter in a highly compressed state. The work deals with the study the possibility of using a plasma lens to transformation the density distribution of ions in the beam. Calculations and measurements were performed for a C6+ and Fe26+ beams of 200 MeV/a.u.m. energy. The obtained results and analysis are reported.

 
TUYMH01 Review of Beam Dynamics Issues in MW Class Ion Linacs linac, ion, space-charge, cavity 1246
 
  • R.D. Duperrier
    CEA, Gif-sur-Yvette
 
 

An important issue for the new high power class ion linac projects is the preservation of the beam quality through the acceleration in the linac. An extremely low fraction of the beam (from 10-4 down to 10-7) is sufficient to complicate the hands on maintenance in such accelerator. This paper reviews the theory and the codes for the design and simulation of MW ion linacs. Basics rules for the definition of their architecture and the results applied to existing machines and projects are covered.

 

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TUPEA002 The Influences of Initially Induced Inhomogeneity over the Dynamics of Mismatched Intense Charged Beams emittance, simulation, accumulation, controls 1330
 
  • R.P. Nunes
    UFPel, Pelotas
  • L.C. Martins
    UDESC, Joinville
  • F.B. Rizzato
    IF-UFRGS, Porto Alegre
 
 

Although undesired in many applications, the intrinsic spurious spatial inhomogeneity that permeates real systems is the forerunner instability which leads high-intensity charged particle beams to its equilibrium. In general, this equilibrium is reached in a particular way, by the development of a tenuous particle population around the original beam, conventionally known as the halo. In this way, the purpose of this work is to analyze the influence of the magnitude of initial inhomogeneity over the dynamics and over the equilibrium characteristics of initially quasi-homogeneous mismatched beams. For that, all beam constituent particles, which are initially disposed in an equidistant form, suffer a progressive perturbation through random noise with a variable amplitude. Dynamical and equilibrium quantities are quantified as functions of the noise amplitude, which indirectly is a consistent measure of the initial beam inhomogeneity. The results have been obtained by the means of full self-consistent N-particle beam numerical simulations and seem to be an important complement to the investigations already carried out in prior works.

 
TUPEA003 A Particle-core Model for Mismatched and Inhomogeneous Intense Charged Particle Beams emittance, simulation, plasma 1333
 
  • R.P. Nunes
    UFPel, Pelotas
  • F.B. Rizzato
    IF-UFRGS, Porto Alegre
 
 

Beams of charged particles usually reach their stationary state by the development of a halo. Halo formation in charged beams is in fact a macroscopic transcription of microscopic instabilities acting inside the beam and upon its constituent particles. In previous works, investigations have been carried out to understand the role of the initial envelope mismatch and of magnitude of inhomogeneity in the beam route to the equilibrium. Although in that works the action of the mentioned instabilities has been studied individually, it is clear that in real implemented beams both act together. In this sense, the main purpose of this work is to generalize previous models, considering now concomitantly the effects of the envelope mismatch and of the inhomogeneity. As a final product of the investigation, a particle-core model for beam constituent particles is presented. The agreement with full self-consistent N-particle beam numerical simulations is satisfactory and the results provided by the model seem to be more compatible with that would be expected experimentally.

 
TUPEA006 Mismatch Induced Oscillations of Space Charge Dominated Beams in a Uniform Focusing Channel electron, space-charge, plasma, solenoid 1336
 
  • H. Higaki, S. Fujimoto, K. Fukata
    Hiroshima University, Higashi-Hiroshima
  • J. Aoki
    Osaka University, Graduate School of Science, Osaka
  • K. Ito, M. Kuriki, H. Okamoto
    HU/AdSM, Higashi-Hiroshima
 
 

Space charge effects due to the strong Coulomb interactions expected in high intensity accelerator beams result in undesirable beam degradation and radio-activation of the vacuum tubes through halo formations. Various space charge effects have been studied intensively with particle simulations. This is partly because the analytical formulation of the nonlinear evolution in high intensity beams is not possible in general cases. And the systematic study of space charge effects with the real accelerators is not feasible. Although the development of computation environment is outstanding, some approximations are still necessary so far. Thus, it was proposed to use solenoid traps and linear Paul traps for investigating some properties of space charge dominated beams. The key idea is that the charged particles in these traps are physically equivalent with a beam in a FODO lattice. Some experimental results have been reported with the use of Paul traps. Here, a solenoid trap with a beam imaging system composed of a charge coupled device camera and a phosphor screen was employed to study the mismatch induced oscillations of a space charge dominated beams.

 
TUPEA007 S-POD Experiments of Space-Charge-Dominated Beam Resonances resonance, plasma, ion, lattice 1339
 
  • H. Okamoto, K. Ito, H. Sugimoto
    HU/AdSM, Higashi-Hiroshima
  • H. Higaki
    Hiroshima University, Higashi-Hiroshima
  • S.M. Lund
    LLNL, Livermore, California
 
 

S-POD (Simulator for Particle Orbit Dynamics) is a tabletop, non-neutral plasma trap system developed at Hiroshima University for fundamental beam physics studies. The main components of S-POD include a compact radio-frequency quadrupole trap, various AC and DC power supplies, a vacuum system, a laser cooler, several diagnostics, and a comprehensive computer control system. A large number of ions, produced through the electron bombardment process, are captured and confined in the RFQ trap to emulate collective phenomena in space-charge-dominated beams traveling in periodic linear focusing lattices. This unique experiment is based on the isomorphism between a one-component plasma in the laboratory frame and a charged-particle beam in the center-of-mass frame. We here employ S-POD to explore the coherent betatron resonance instability which is an important issue in modern high-power accelerators. Ion loss behaviors and transverse plasma profiles are measured under various conditions to identify the parameter-dependence of resonance stopbands. Experimental observations are compared with PIC simulation results obtained with the WARP code.

 
TUPEA013 New Approach to Optimization of RFQ Radial Matching Section rfq, controls, quadrupole, emittance 1351
 
  • D.A. Ovsyannikov, A.D. Ovsyannikov
    St. Petersburg State University, St. Petersburg
 
 

New approach to define geometry of the radial matching section in RFQ accelerator is suggested. Approach is based on the application methods of the control theory. In paper special functionals are introduced which allow optimize radial section parameters with taking into account space charge. This approach gives wider opportunities for the design of the radial matching section because it does not have certain prescribed laws of variation of focusing strength along the section.

 
TUPEA015 Focusing of Ultrashort Electron Bunch for Femtosecond Inverse Compton Scattering X-Ray Source electron, linac, laser, photon 1357
 
  • N.Y. Huang, S.S. Yang
    NTHU, Hsinchu
  • H. Hama
    Tohoku University, School of Scinece, Sendai
  • W.K. Lau
    NSRRC, Hsinchu
 
 

Design of an intense but tightly focused ultrashort electron beam for production of sub-hundred femtosecond x-ray pulses that based on head-on inverse Compton scattering (ICS) has been studied. The three dimensional (3D) space charge dynamics has been tracked and optimized throughout the whole beamline. It is found that the focusing ultrashort electron pulses as short as 67 fs can be produced by compressing the energy-chirped beam from a thermionic cathode rf gun with an alpha magnet and linac operating at injection phase near zero crossing. This multi-bunch electron beam has an intensity of 30 pC per bunch and is accelerated to 27 MeV with an S-band linac structure. The compressed electron beam is focused to 64 μm for scattering with an 800 nm, 3.75 mJ laser in the laser-beam interaction chamber. With this method, total peak flux of back-scattered x-ray photons exceeds 1018 photons/sec is achievable with the shortest wavelength of 0.7 Å.

 
TUPEB023 High Gradient Final Focusing Quadrupole for a Muon Collider quadrupole, collider, shielding, background 1569
 
  • S.A. Kahn, G. Flanagan, R.P. Johnson
    Muons, Inc, Batavia
 
 

To achieve the high luminosity required for a muon collider strong quadrupole magnets will be needed for the final focus in the interaction region. These magnets will be located in regions with space constraints imposed both by the lattice and the collider detector. There are significant beam related backgrounds from muon decays and synchrotron radiation which create unwanted particles which can deposit significant energy in the magnets of the final focus region of the collider. This energy deposition results in the heating of the magnet which can cause it to quench. To mitigate the effects of heating from the energy deposition shielding will need to be included within the magnet forcing the aperture to be larger than desired and consequently reducing the gradient. We propose to use exotic high magnetization materials for pole tips to increase the quadrupole gradient.

 
TUPEB027 A New Interaction Region Design for the Super-B Factory quadrupole, interaction-region, emittance, permanent-magnet 1581
 
  • M.K. Sullivan, K.J. Bertsche
    SLAC, Menlo Park, California
  • S. Bettoni
    CERN, Geneva
  • E. Paoloni
    University of Pisa and INFN, Pisa
  • P. Raimondi
    INFN/LNF, Frascati (Roma)
  • P. Vobly
    BINP SB RAS, Novosibirsk
 
 

A final focus magnet design that uses super-ferric magnets is introduced for the Super-B interaction region. The baseline design has air-core super-conducting quadrupoles. This idea instead uses super-conducting wire in an iron yoke. The iron is in the shape of a Panofsky quadrupole and this allows for two quadrupoles to be side-by-side with no intervening iron as long as the gradients of the two quads are equal. This feature allows us to move in as close as possible to the collision point and minimize the beta functions in the interaction region. The super-ferric design has advantages as well as drawbacks and we will discuss these in the paper.

 
TUPEB042 The Transverse Linac Optics Design in Multi-pass ERL linac, optics, quadrupole, electron 1620
 
  • Y. Hao, J. Kewisch, V. Litvinenko, E. Pozdeyev, V. Ptitsyn, D. Trbojevic, N. Tsoupas
    BNL, Upton, Long Island, New York
 
 

In this paper, we analyzed the linac optics design requirement for a multi-pass energy recovery linac (ERL) with one or more linacs. A set of general formula of constrains for the 2-D transverse matrix is derived to ensure design optics acceptance matching throughout the entire accelerating and decelerating process. Meanwhile, the rest free parameters can be adjusted for fulfilling other requirements or optimization purpose. As an example, we design the linac optics for the future MeRHIC (Medium Energy eRHIC) project and the optimization for enlarging the BBU threshold.

 
TUPEC056 Evolutionary Algorithms in the Design of Crab Cavities cavity, target, simulation, dipole 1850
 
  • C. Lingwood, G. Burt, K. Gunn
    Cockcroft Institute, Lancaster University, Lancaster
  • J.D.A. Smith
    Tech-X, Boulder, Colorado
 
 

The design of RF cavities is a multivariate multi-objective problem. Manual optimisation is poorly suited to this class of investigation, and the use of numerical methods results in a non-differentiable problem. Thus the only reliable optimisation algorithms employ heuristic methods. Using an evolutionary algorithm guided by Pareto ranking methods, a crab cavity design can be optimised for transverse voltage (VT) while maintaining acceptable surface fields and the correct operating frequency. Evolutionary algorithms are an example of a parallel meta-heuristic search technique inspired by natural evolution. They allow complex, epistatic (non-linear) and multimodal (multiple optima and/or sub-optima) optimization problems to be efficiently explored. Using the concept of domination the solutions can be ordered into Pareto fronts. The first of which contains a set of cavity designs for which no one objective (e.g. the transverse voltage) can be improved without decrementing other objectives.

 
TUPEC080 Recent Enhancements to the ORBIT Code lattice, multipole, simulation, emittance 1901
 
  • J.A. Holmes
    ORNL, Oak Ridge, Tennessee
 
 

At an age of twelve years, the collective beam dynamics particle tracking code, ORBIT, is considered mature. Even so, we continue to enhance ORBIT's capabilities. Two such enhancements are reported here. The first enhancement allows for the use of time dependent waveforms for the strengths of all magnetic elements, a capability that previously was limited to kickers and to RF cavities. This capability should prove very useful for applications to synchrotrons, in which tunes are often manipulated during acceleration. The second enhancement provides an internal calculation of the lattice functions. Previously, these had to be read from an external file, but given the capability of dynamically programming the lattice magnet strengths, it is extremely useful to be able to calculate the lattice functions on demand. Examples illustrating these new ORBIT capabilities will be presented.

 
TUPEC081 Simulations and Measurements of Beam Breakup in Dielectric Wakefield Structures wakefield, simulation, controls, space-charge 1904
 
  • A. Kanareykin, C.-J. Jing, A.L. Kustov, P. Schoessow
    Euclid TechLabs, LLC, Solon, Ohio
  • A. Altmark
    LETI, Saint-Petersburg
  • W. Gai, J.G. Power
    ANL, Argonne
 
 

Beam breakup (BBU) effects resulting from parasitic wakefields are a serious limitation to the performance of dielectric structure based accelerators. We report here on numerical studies and experimental investigations of BBU and its mitigation. An experimental program is underway at the Argonne Wakefield Accelerator facility that will focus on BBU measurements in dielectric wakefield devices. We examine the use of external FODO channels for control of the beam in the presence of strong transverse wakefields. We present calculations based on a particle-Green's function beam dynamics code (BBU-3000) that we are developing. We will report on new features of the code including the ability to treat space charge. The BBU code is being incorporated into a software  framework that will significantly increase its utility (Beam Dynamics Simulation Platform). The platform is based on the very flexible Boinc software environment developed originally at Berkeley for the SETI@home project. The package can handle both task farming on a heterogeneous cluster of networked computers and computing on a local grid. User access to the platform is through a web browser.

 
TUPE075 Electrostatic Modeling of the Jefferson Laboratory Inverted Ceramic Gun cathode, gun, electron, FEL 2305
 
  • F.E. Hannon, P. Evtushenko, C. Hernandez-Garcia
    JLAB, Newport News, Virginia
 
 

Jefferson Laboratory (JLab) is currently developing a new 500kV DC electron gun for future use with the FEL. The design consists of two inverted ceramics which support a central cathode electrode. This layout allows for a load-lock system to be located behind the gun chamber. The electrostatic geometry of the gun has been designed to minimize surface electric field gradients and also to provide some transverse focusing to the electron beam during transit between the cathode and anode. This paper discusses the electrode design philosophy and presents the results of electrostatic simulations. The electric field information obtained through modeling was used with particle tracking codes to predict the effects on the electron beam.

 
TUPE083 Effects of Alignment Error of Main Superconducting Cavities on ERLs and their Correction cavity, emittance, alignment, electron 2314
 
  • N. Nakamura
    ISSP/SRL, Chiba
  • R. Hajima
    JAEA/ERL, Ibaraki
  • K. Harada, Y. Kobayashi, S. Sakanaka, M. Shimada
    KEK, Ibaraki
 
 

In ERLs, superconducting cavities accelerate low-emittance beams with high-gradient standing-wave RF fields. If alignment error of the cavities is considerable, they can harmfully affect the beam trajectory and quality because the cavities have strong transverse focusing. Achieving high alignment accuracy of the cavities is difficult compared with the other ERL elements such as magnets because the cavities are contained in cryomodules. Therefore we studied effects of the alignment error of main superconducting cavities with analytical approaches and simulations, using a one-loop model of the compact ERL as an example. In this paper, we present the effects of alignment error of main superconducting cavities on ERLs and their correction.

 
WEOBRA02 Simulation of E-Cloud Driven Instability and its Attenuation using a Feedback System in the CERN SPS electron, feedback, simulation, emittance 2438
 
  • J.-L. Vay, J.M. Byrd, M.A. Furman, G. Penn, R. Secondo, M. Venturini
    LBNL, Berkeley, California
  • J.D. Fox, C.H. Rivetta
    SLAC, Menlo Park, California
 
 

Electron clouds impose limitations on current accelerators that may be more severe for future machines, unless adequate measures of mitigation are taken. Recently, it has been proposed to use feedback systems operating at high frequency (in the GHz range) to damp single-bunch transverse coherent oscillations that may otherwise be amplified during the interaction of the beam with ambient electron clouds. We have used the simulation package WARP-POSINST to study the growth rate and frequency patterns in space-time of the electron cloud driven transverse instability in the CERN SPS accelerator with, or without, an idealized feedback model for damping the instability. We will present our latest simulation results, contrast them with actual measurements and discuss the implications for the design of the actual feedback system.

 

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WEPD030 Elimination of Hall Probe Orientation Error in Measured Magnetic Field of the Edge-focusing Wiggler wiggler, electron, FEL, permanent-magnet 3159
 
  • S. Kashiwagi, G. Isoyama, R. Kato
    ISIR, Osaka
  • K. Tsuchiya, S. Yamamoto
    KEK, Ibaraki
 
 

The edge-focusing (EF) wiggler has been fabricated to evaluate its performance rigorously with the magnetic field measurement. It is a 5-period planar wiggler with an edge angle of 2° and a period length of 60 mm. The magnetic field is measured using Hall probes at four different wiggler gaps. It is experimentally confirmed that a high field gradient of 1.0 T/m is realized, as designed, along the beam axis. The magnetic field gradient of the EF wiggler is derived as a function of the magnetic gap. The field gradient decreases with increasing magnet gap more slowly than the peak magnetic field does for the present experimental model. An analytic formula for the field gradient of the EF wiggler is derived and it is shown that the slope of the field gradient with the magnet gap can be changed by varying the magnet width of the EF wiggler. We analyzed the relation between the orientation errors of the measurement system and the measured magnetic field or field gradient using a model magnetic field of the EF wiggle. We corrected the measurement magnetic field based on this analysis and evaluated the performance of the EF wiggler.

 
THOAMH01 Recirculating Linear Accelerators for Future Muon Facilities linac, optics, acceleration, lattice 3602
 
  • S.A. Bogacz
    JLAB, Newport News, Virginia
  • K.B. Beard, R.P. Johnson
    Muons, Inc, Batavia
 
 

Neutrino Factories and Muon Colliders require rapid acceleration of short-lived muons to multi-GeV and TeV energies. A Recirculating Linear Accelerator (RLA) that uses superconducting RF structures can provide exceptionally fast and economical acceleration to the extent that the focusing range of the RLA quadrupoles allows each muon to pass several times through each high-gradient cavity. A new concept of rapidly changing the strength of the RLA focusing quadrupoles as the muons gain energy is being developed to increase the number of passes that each muon will make in the RF cavities, leading to greater cost effectiveness. We discuss the optics and technical requirements for RLA designs, using RF cavities capable of simultaneous acceleration of both μ+ and μ- species, with pulsed Linac quadrupoles and arc magnets to allow the maximum number of passes. The design will include the optics for the multi-pass linac and droplet-shaped return arcs.

 

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Slides

 
THPEA031 Development of a 13.56MHz RF Implanter at PEFP cavity, ion, linac, ion-source 3747
 
  • T.A. Trinh, Y.-S. Cho, I.-S. Hong, J.-H. Jang, H.S. Kim, H.-J. Kwon, H.R. Lee, B.-S. Park
    KAERI, Daejon
 
 

In the RF linac, the RF system is roughly half of the total cost. The 13.56MHz rf generator is cheap and readily available. Therefore, an rf implanter which uses a cavity operating at the frequency of 13.56MHz has now been considered and developed at Proton Engineering Frontier Project (PEFP) - Korea. The implanter consists of a Duoplasmatron ion source, a triplet focusing magnet, an rf cavity, a bending magnet and an end chamber. It can accelerate particles up to 32keV/u for charge to mass ratio of 1/4. The implanter design concept, fabrication, testing and commissioning are presented in this presentation.

 
THPEA032 Commissioning of L-band Intense Electron Accelerator for Irradiation Applications electron, linac, klystron, gun 3750
 
  • S.H. Kim, M.-H. Cho, S.D. Jang, W. Namkung, S.J. Park, H.R. Yang
    POSTECH, Pohang, Kyungbuk
  • K.H. Chung, K.O.LEE. Lee
    KAPRA, Cheorwon
  • J.-S. Oh
    NFRI, Daejon
 
 

An intense L-band electron linac is now being commissioned at ACEP (Advanced Center for Electron-beam Processing in Cheorwon, Korea) for irradiation applications in collaboration with POSTECH (Pohang University of Science and Technology) and KAPRA (Korea Accelerator and Plasma Research Association). It is capable of producing 10-MeV electron beams with average 30-kW. For a high-power capability, we adopted the L-band traveling-wave structure operated with a 2π/3 mode. The RF power is supplied by the pulsed 25-MW and average 60-kW klystron with the matched pulse modulator and the inverter power supplies. The accelerating gradient is 4.2 MV/m with the beam current of 1.45 A which is fully beam-loaded condition. The solenoidal magnetic field is 700 Gauss to focus the electron beam and suppress the BBU instability. In this paper, we present commissioning status with details of the accelerator system.

 
THPEA039 Constructions of DC Potential Input into Resonator of Linear Accelerators simulation, impedance, undulator, acceleration 3762
 
  • P.R. Safikanov, S.M. Polozov
    MEPhI, Moscow
 
 

Nowadays the DC potential using was proposed for ion beam focusing in linear accelerators. It was proposed to use the DC potential for combined beam focusing (electrostatic focusing and focusing by using of higher RF field spatial harmonics) in bunching section of linac *. These accelerators use an IH-type resonator. So-called linear undulator accelerator (UNDULAC) was proposed for ribbon ion beam bunching and acceleration **. One of possible scheme of UNDULAC can be realized using an electrostatic undulator in E-type resonator. In this report the different types of the electrostatic potential inputting into resonator will discussed.


* P.А. Demchenko at al., Problems of Atomic Science and Technology, 2008, 5 (50), pp. 28-32.
** E.S. Masunov at al., Radiation Physics and Chemistry, 2001, v. 61, рр. 491-493.

 
THPEA040 Characteristics of the Parallel Coupled Accelerating Structure cavity, coupling, resonance, vacuum 3765
 
  • A.E. Levichev, V.M. Pavlov
    BINP SB RAS, Novosibirsk
  • Y.D. Chernousov
    ICKC, Novosibirsk
  • V. Ivannikov, I.V. Shebolaev
    ICKC SB RAS, Novosibirsk
 
 

The prototype of parallel coupled accelerating structure is developed. It consists of five accelerating cavities, common excitation cavity and RF power waveguide feeder. The excitation cavity is a segment of rectangular waveguide loaded by resonance copper pins. The excitation cavity operate mode is T 105. Connection between excitation cavity and accelerating cavities is performed by magnetic field. The theoretical model of the parallel coupled accelerating structure is developed. According to model the tuning and matching of the structure are performed. The electrodynamics characteristics are measured. In storage energy regime the accelerated electron beam is obtained.

 
THPEB035 Solenoid Fringe Field Effects for the Neutrino Factory Linac - MAD-X Investigation solenoid, linac, acceleration, cavity 3963
 
  • M. Aslaninejad, C. Bontoiu, J. Pasternak, J.K. Pozimski
    Imperial College of Science and Technology, Department of Physics, London
  • S.A. Bogacz
    JLAB, Newport News, Virginia
 
 

International Design Study for the Neutrino Factory (IDS-NF) assumes the first stage of muon acceleration (up to 900 MeV) to be implemented with a solenoid based Linac. The Linac consists of three styles of cryo-modules,containing focusing solenoids and varying number of SRF cavities for acceleration. Fringe fields of the solenoids and the focusing effects in the SRF cavities have significant impact on the transverse beam dynamics. Using an analytical formula,the effects of fringe fields and cavities are studied in MAD-X. The resulting betatron functions are compared with the results of beam dynamics simulations using OptiM code.

 
THPEB066 Test and Development of a 10 MW 1.3 GHz Sheet Beam Klystron for the ILC klystron, cavity, simulation, cathode 4023
 
  • D.W. Sprehn, A.A. Haase, A. Jensen, E.N. Jongewaard, D.W. Martin
    SLAC, Menlo Park, California
 
 

The SLAC National Accelerator Laboratory Klystron Department is developing a 10 MW, 5 Hz, 1.6 ms, 1.3 GHz plug-compatible Sheet-Beam Klystron as a less expensive and more compact alternative to the ILC baseline Multiple-Beam Klystron. Earlier this year a beam tester was constructed and began test. Device fabrication issues have complicated the analysis of the data collected from an intercepting cup for making beam quality measurements of the 130 A, 40-to-1 aspect ratio beam. Since the goal of the beam tester is to confirm 3d beam simulations it was necessary to rebuild the device in order to mitigate unwanted effects due to imperfect focusing construction. Measurements are underway to verify the results of this latest incarnation. Measurement will then be made of the beam after transporting through a drift tube and magnetic focusing system. In the klystron design, a TE oscillation was discovered during long simulation runs of the entire device which has since prompted two design changes to eliminate the beam disruption. The general theory of operation, the design choices made, and results of testing of these various devices will be discussed.

 
THPEC004 All-optical Hard X-ray Sources and their Application to Nuclear Engineering electron, laser, photon, plasma 4065
 
  • K. Koyama
    University of Tokyo, Tokyo
  • A. Maekawa, H. Masuda, M. Uesaka
    The University of Tokyo, Nuclear Professional School, Ibaraki-ken
  • Y. Oishi
    Central Research Institute of Electric Power Industry, Yokosuka-shi, Kanagawa
 
 

We are studying the artificial injection of initial electrons into the wakefield for producing stable electron bunch (the charge is 100 pC, the energy stability is better than a few per cent). The objective of our research is to produce 100-keV class monochromatic X-ray pulses for measuring concentrations of nuclear materials in a reprocessing plant. A K-edge densitometry using monochromatic hard x-ray beams is one of the effective technique to measure concentrations of nuclear materials in a reprocessing solutions. An inverse Compton scattering process between an IR-laser beam of 800 nm and high-energy electron bunch of above 80 MeV makes it possible to deliver tunable monochromatic x-rays near K-absorption edges of nuclear materials of 115-129 keV. In order to use in a reprocessing plant, the equipment for the K-edge densitometry must be smaller than a compact car. The only solution to realize the compact system is to use a laser wakefield accelerator instead of a radio frequency linac. An ultra-short ten-TW laser pulse focused on a supersonic jet makes it possible to accelerate electrons up to 100 MeV in a plasma length of 2.5 mm.

 
THPEC025 First Emission of Novel Photocathode Gun Gated by Z-polarized Laser Pulse laser, polarization, cathode, gun 4101
 
  • H. Tomizawa, H. Dewa, H. Hanaki, A. Mizuno, T. Taniuchi
    JASRI/SPring-8, Hyogo-ken
 
 

We have developed a laser-induced Schottky-effect-gated photocathode gun since 2006. This new type of gun utilizes a laser's coherency to realize a compact laser source using Z-polarization of the IR laser on the cathode. This Z-polarization scheme reduces the laser pulse energy by reducing the cathode work function due to Schottky effect. Before this epoch-making scheme, photocathode guns had never utilized laser's coherency. A hollow laser incidence is applied with a hollow convex lens that is focused after passing the beam through a radial polarizer. According to our calculations (convex lens: NA=0.15), a Z-field of 1 GV/m needs 1.26 MW at peak power for the fundamental wavelength (792 nm) and 0.316 MW for the SHG (396 nm). Therefore, we expect that this laser-induced Schottky emission requires just a compact femtosecond laser oscillator as a laser source. Besides, a dichromatic laser scheme (photo-exciting: 780 nm; gating: 30 um) should be applied to polarized electron sources for International Linear Collider (ILC). We report the first feasibility study of this laser-induced Schottky-effect on several metal photocathodes by comparing radial and azimuthal polarizations.

 
THPD026 Beam Optics and Magnet Design of Helium Ion FFAG Accelerator ion, lattice, injection, simulation 4331
 
  • H.L. Luo, H. Hao, X.Q. Wang, Y.C. Xu
    USTC/NSRL, Hefei, Anhui
 
 

Fixed-Field Alternating Gradient (FFAG) accelerator accelerates in smaller costs heavy-ion with higher beam current than conventional circular accelerator, which could be more useful for the study of radioactive material. In this paper, the periodic focusing structure model of a Helium ion FFAG with a few MeV energy, which is contributed to study the impact of Helium embitterment on fusion reactor envelope material is proposed. A large-aperture magnet for Helium ion FFAG synchrotron is designed by using a 3D magnetic field simulation code OPERA-3D. The linear and nonlinear beam dynamics is studied through tracking the particle in the magnetic field generated by OPERA-3D.

 
THPD047 A Tapered Dielectric Structure for Laser Acceleration at Low Energy resonance, laser, acceleration, vacuum 4387
 
  • J.C. McNeur, R. Dusad, Z.B. Hoyer, J.B. Rosenzweig, G. Travish, N. Vartanian, J. Xu, J. Zhou
    UCLA, Los Angeles
  • E.R. Arab
    PBPL, Los Angeles
  • R.B. Yoder
    Manhattanville College, Purchase, New York
 
 

This paper extends the physics of the Micro-Accelerator Platform (MAP), which is in development as an optical structure for laser acceleration of relativistic electrons. The MAP is a resonant, optical-scale, slab-symmetric device that is fabricated from dielectric materials using layer-deposition techniques. For stand-alone applications, low-energy electrons (beta ~ 0.3) must be synchronously accelerated to relativistic speeds for injection into the MAP. Even lower energies are desired for other particle species (e.g. protons or muons). In this paper, we present design and simulation studies on a tapered geometry and associated coupling scheme that can produce synchronous acceleration at beta < 1 within a MAP-like structure.

 
THPD058 Definition of Focusing System Parameters on the Basis of the Analysis of a Transverse Bunch Dynamics in Dielectric Loaded Wakefield Accelerator wakefield, acceleration, electron, induction 4416
 
  • I.L. Sheynman
    LETI, Saint-Petersburg
  • A. Kanareykin
    Euclid TechLabs, LLC, Solon, Ohio
 
 

The strong focusing of high current relativistic electron beams in multi-bunch wakefield acceleration is investigated. These beams are used for generating wake fields in dielectric loaded accelerating structures. We consider ramped charge distribution in the sequence of high current drive bunch. It is shown that the beam focusing system dumping beam break-up effect and elongating of a maximum distance the high current beam can travel determines the effectiveness of the energy transfer to the accelerated electron bunch. The optimal parameters of the focusing system on the basis of self-consistent transverse dynamics analysis are determined.

 
THPD070 Numerical and Experimental Studies of Dispersive, Active, and Nonlinear Media with Accelerator Applications simulation, wakefield, scattering, photon 4443
 
  • P. Schoessow, C.-J. Jing, A. Kanareykin
    Euclid TechLabs, LLC, Solon, Ohio
  • S.P. Antipov
    ANL, Argonne
 
 

Current advanced accelerator modeling applications require a more sophisticated treatment of dielectric and paramagnetic media properties than simply assuming a constant permittivity or permeability. So far active media have been described by a linear, frequency-dependent, single-frequency, scalar dielectric function.  We have been developing algorithms to model the high frequency response of dispersive, active, and nonlinear media. The work described also has applications for modeling of other electromagnetic problems involving realistic dielectric and magnetic media. Results to be reported include treatment of multiple Lorentz resonances based on auxiliary differential equation, Fourier, and hybrid approaches. We will also report on recent measurements of paramagnetic active microwave materials using EPR spectroscopy. Comparison of the results to numerical simulations will be presented.

 
THPD078 A Non Invasive Technique for the Transverse Matching in a Periodic Focusing Channel of a Linac linac, emittance, quadrupole, ion 4461
 
  • R.D. Duperrier, D. Uriot
    CEA, Gif-sur-Yvette
 
 

A main interest in the high intensity ion linacs is the control of the particle loss in the vacuum chamber. A extremely low fraction of the beam (10-4 or 10-7) is sufficient to complicate the hands on maintenance in such accelerator. Beam mismatching being a major source of halo, it is proposed a non invasive technique to adapt the beam to a periodic focusing channel of a linac based on a FDO of FODO lattice. It is demonstrated that only the matched beam can correspond to a particular signature of the quadrupolar moment of the Beam Positions Monitors. This technique allows also to measure the emittance value or evolution along the channel.

 
THPD083 Apochromatic Beam Transport in Drift-Quadrupole Systems quadrupole, betatron, FEL, linac 4476
 
  • V. Balandin, R. Brinkmann, W. Decking, N. Golubeva
    DESY, Hamburg
 
 

A straight drift-quadrupole system, though not being an achromat, can transport certain incoming beam ellipses without introducing first-order chromatic distortions. Several examples of such apochromatic beam transport are available in the literature. In this paper we show that the possibility of apochromatic focusing is a general property: For every drift-quadrupole system there exist an unique set of Twiss parameters (apochromatic Twiss parameters), which will be transported through that system without first order chromatic distortions. Moreover, we prove that at the same time the apochromatic Twiss parameters bring the second order effect of the betatron oscillations on the shift of the average bunch path length to the minimal possible value and also minimize the effect of betatron oscillations on bunch lengthening for Gaussian beam. As an example we consider the application of the apochromatic focusing concept to the design of matching sections and phase shifter of the post-linac collimation section of the European XFEL Facility.

 
THPD087 Potential Forms for Electrostatic and Magnetic Cylindrical Lens and Tracking of Charged Particle solenoid, optics, induction, proton 4488
 
  • M.H. Rashid, R.K. Bhandari, C. Mallik
    DAE/VECC, Calcutta
 
 

A cylindrical lens is mainly used for focusing and transporting low energy beam. Some analytical forms of scalar potential have been formulated to evaluate electric and magnetic field and its derivatives on the central axis, which help in evaluation of potential and field in the region about the central axis. They are, subsequently, used to analytically find out the optical properties of a lens as well as in tracking of charged particles. It turns into a tool to design an electrostatic or a magnetic cylindrical lens. A section-technique has been developed to evaluate the optical cardinal points of a thick lens very accurately. Smooth profiles of the field and potential along the axis are divided into large number of small stepped profile. Each step represents a weak thin lens as change in radial movement is very small. The effect of the individual weak lenses is evaluated and combined by matrix multiplication method to get optical property of the thick lens. The obtained values are verified by exactly tracking the particles by solving the Lorentz equation of motion of charged particle in electric or magnetic field.

 
THPD091 Explicit Maps for the Fringe Field of a Quadrupole quadrupole, optics, storage-ring, simulation 4500
 
  • D.M. Zhou
    KEK, Ibaraki
  • Y. Chen, J. Tang, N. Wang
    IHEP Beijing, Beijing
 
 

A perturbation method based on Lie technique, originated by J. Irwin and C.-x. Wang, was extended to calculate the linear maps for the fringe field of a quadrupole. In our method, the fringe field shape is not necessarily anti-symmetric with respect to the hard-edge position. The linear maps were explicitly expressed as functions of fringe field integrals. Thus they can be used to assess the influence of the quadrupole fringe fields in beam dynamics.

 
THPE012 U400 Cyclotron Spiral Inflector with Beam Vertical Focusing Effect cyclotron, ion, emittance, beam-losses 4536
 
  • I.A. Ivanenko, B. Gikal, G. Gulbekyan
    JINR, Dubna, Moscow Region
 
 

The main losses of the injected beam are localized at the centre region of the cyclotron. One of the problems is the defocusing action of the spiral inflector. At the present work the method of decreasing of the vertical defocusing effect of the spiral inflector is presented. The decreasing of the vertical defocusing is achieved by means of special form of the inflector electric field. At FLNR, JINR, the new type of the inflector was investigated and manufactured. At the present time the inflector is installed and works at the U400 cyclotron. The experiments with the new inflector have shown the increasing of the beam intensity and more tuneble work of the cyclotron.

 
THPE019 CERN Proton Synchrotron Working Point Matrix for Extended Pole Face Winding Powering Scheme controls, proton, synchrotron, quadrupole 4551
 
  • P. Freyermuth, D.G. Cotte, M. Delrieux, H. Genoud, S.S. Gilardoni, K. Hanke, O. Hans, S. Mataguez, G. Metral, F.C. Peters, R.R. Steerenberg, B. Vandorpe
    CERN, Geneva
 
 

The CERN Proton Synchrotron has been continuously improving its beam performances since 1959. The working point parameters of the accelerator are mainly controlled by dedicated windings installed on the poles of the main combined function magnets. In 2007, the power supplies of these windings were renovated and extended from three to five independent groups, allowing exploration of new working point settings. This configuration offers the flexibility of several adjustment strategies such as leaving one current free or to control an additional physical parameter, like Q''h. A non-linear chromaticity measurement campaign, at different beam energies, resulted in matrices defining the relationship between the five pole face winding currents and the four beam parameters Qh, Qv, Xih, and Xiv. Each cell of these matrices was fitted against energy. The final result is a single matrix which is now used by the operational software to trim the working point. This paper summarises this measurement campaign by presenting the resulting matrix with a brief overview of the adjustment tools and strategy. Furthermore a few future possible benefits of this control enhancement will be discussed.

 
THPE029 Studies of Insertion Device Modeling on TPS Project emittance, insertion, insertion-device, betatron 4578
 
  • H.C. Chao, H.-P. Chang, C.-C. Kuo, H.-J. Tsai
    NSRRC, Hsinchu
 
 

In this paper, the simulation techniques of insertion device (ID) were discussed. Piecewise hard-edge model was used to estimate the tune shift and changes of emittance and energy spread, while kick map model was used for particle tracking. Optical functions and tune shifts can also be derived by this model. Frequency maps as well as the beta-beating and its correction of Phase I IDs are demonstrated.

 
THPE051 Magnet Optical and Beam Matching Issues in a Medium Energy Beam Transport line of SNS Linac lattice, simulation, quadrupole, optics 4632
 
  • J. G. Wang, Y. Zhang
    ORNL, Oak Ridge, Tennessee
 
 

A Medium Energy Beam Transport line (MEBT) is employed in the SNS linac to match the beam from an RFQ to a DTL and to perform other functions. The MEBT lattice consists of fourteen electromagnetic quadrupoles. The quads have very small aspect ratios (steel length over aperture diameter), and they are densely packed in the lattice. Significant fringe fields and magnetic interference cause difficulties in beam matching. We have performed 3D simulations of the magnets, computed their optical properties, and compared their performance with what predicted by simple hard edge models. This paper reports our findings and possible solutions to the problem.

 
THPE052 Advanced Numerical Modeling of Collective Final Focus for Intense Ion Beams ion, electron, solenoid, plasma 4635
 
  • M. Dorf, R.C. Davidson, I. Kaganovich, E. Startsev
    PPPL, Princeton, New Jersey
 
 

This paper presents results of advanced numerical simulations demonstrating the feasibility of tight collective focusing of intense ion beams for the Neutralizing Drift Compression Experiment (NDCX-I). In the collective focusing scheme, a weak magnetic lens provides strong focusing of an intense ion beam carrying an equal amount of neutralizing electron background [S. Roberston, Phys. Rev. Lett. 48, 149 (1982)]. For instance, a solenoidal magnetic field of several hundred gauss can focus an intense neutralized ion beam within a short distance of several centimeters. The enhanced focusing is provided by a strong self-electric field, which is produced by the collective electron dynamics. The numerical simulations are performed with the LSP particle-in-cell (PIC) code, and the results of the simulations are found to be in good agreement with analytical predictions. Collective focusing limitations due to possible heating of the co-moving electrons during the transverse compression are also discussed.

 
THPE066 Simulation Study on Coherent Resonant Instability of Non-neutral Plasmas Confined in a Linear Paul Trap simulation, resonance, plasma, quadrupole 4668
 
  • H. Sugimoto, K. Ito, H. Okamoto
    HU/AdSM, Higashi-Hiroshima
  • S.M. Lund
    LLNL, Livermore, California
 
 

Resonant instabilities of ion plasmas confined in a linear Paul trap are studied using the particle-in-cell code WARP. Transverse two-dimensional model is employed to save computing time and perform systematic investigations. Both applied and self-field forces are calculated with a boundary condition assuming a quadrupole electrode structure. A large number of simulations were carried out with rms matched plasmas to clarify characteristics of the instability caused by linear and nonlinear coherent resonances. Stop band distributions produced by the simulation runs are consistent with theoretical prediction. These results are also compared to experimental results obtained from Hiroshima University Paul trap that is developed to study beam dynamics. It is shown that the stop band distributions of both numerical and experimental results are good agreement each other. We confirmed from these results that coherent resonances are excited when one of the coherent tunes is close to a half integer.

 
THPE074 Beam Envelope Control in Heavy Ion Superconducting Drift Tube Linac cavity, controls, ion, linac 4689
 
  • V.S. Dyubkov, S.M. Polozov, A.V. Samoshin
    MEPhI, Moscow
 
 

At present a number of high energy heavy ion linear accelerator projects are discussed. FRIB accelerator is under R&D in Michigan University in USA, GANIL in France etc. The RIA (AEBF) project was designed in ANL, USA some years ago*. The linac should consist of a number of ion sources, matching system, pre-buncher and high energy sections. Using of independently phased short SC resonators with drift tubes is possible for beam acceleration and SC solenoids or quadruple can be used for focusing. The alternative phase focusing can be also useful**. The beam envelope control is one of the main problems in this linac. The method of analytically beam dynamics investigation will be discussed in the future report. The conditions of beam envelope control will be carried out by using of especially averaging method, discussed in*** initially.


* P.N.Ostroumov et al., Proc. of PAC01, p.4080
** E.S.Masunov, A.V.Samoshin, Proc. of PAC07, p.1568
*** V.S.Dyubkov, E.S.Masunov, Probl. of Atom. Sci.&Tech., Ser. Nucl. Phys. Investig. (in press)

 
THPE086 Non-Linear Parametric Effects and Beam Collapse at Motion of Accelerated Particles in Transversal Focusing Fields ion, electron, coupling, beam-cooling 4725
 
  • M.V. Vysotskyy, V.I. Vysotskii
    National Taras Shevchenko University of Kyiv, Radiophysical Faculty, Kiev
 
 

The new type of oriental motion, so called parametric channeling of accelerated charged particles with internal energy structure in crystals or transversal focusing fields (TFF) is studied [*,**]. Peculiarities of this motion are connected with parametric coupling of transversal oscillations of fast particle in TFF (e.g. averaged field of crystal plains) and oscillations caused by internal processes in particle. Parametric channeling is investigated for small charged mesomolecules, atomic ions and nuclei with internal resonances, relativistic electrons. It was shown that such parametric coupling leads to the possibility of beam cooling and "collapse": critical decrease of transversal oscillations of moving structured ion in TFF due to energy transfer from this ion to its own internal electron (for atomic ion) or its internal low energy nuclear state (for fast nuclei). Also it was shown that parametric beam cooling with the decrease of transversal energy can take place at axial relativistic electron beams channeling. This process is caused by the parametric coupling between quantized channeling states and electron spin states in effective magnetic field in moving system.


* M.V.Vysotskyy V.I.Vysotskii, N.V.Maksuyta. Journal of Surface Investigation, V.2, No 2 (2008) 245.
** V.I.Vysotskii, M.V.Vysotskyy. Journal of Surface Investigation, 2008, V.2, No 2 (2008), 253.

 
THPE094 A Search for Integrable Four-dimensional Nonlinear Accelerator Lattices betatron, lattice, octupole, optics 4743
 
  • S. Nagaitsev
    Fermilab, Batavia
  • V.V. Danilov
    ORNL, Oak Ridge, Tennessee
 
 

Integrable nonlinear motion in accelerators has the potential to introduce a large betatron tune spread to suppress instabilities and to mitigate the effects of space charge and magnetic field errors. To create such an accelerator lattice one has to find magnetic and/or electrtic field combinations leading to a stable integrable motion. This paper presents families of lattices with one invariant where bounded motion can be easily created in large volumes of the phase space. In addition, it presents two examples of integrable nonlinear accelerator lattices, realizable with longitudinal-coordinate-dependent magnetic or electric fields with the stable nonlinear motion, which can be solved in terms of separable variables.

 
THPE097 Charged-Particle Dynamics in an Adiabatic Thermal Beam Equilibrium plasma, resonance, quadrupole, emittance 4749
 
  • H. Wei, C. Chen
    MIT/PSFC, Cambridge, Massachusetts
 
 

The dynamics of charged particles in a recently-discovered adiabatic thermal beam equilibrium* are studied. In particular, test particle motion is analyzed numerically, assuming the beam equilibrium fields are in a periodic solenoidal focusing channel. Poincare surface-of-section maps are generated to examine the behavior of the test particles in phase space such as nonlinear resonances and chaotic regions. Comparisons are made between the adiabatic thermal and rigid-rotor Vlasov beam equilibria**.


* J. Zhou, K.R. Samokhvalova, and C. Chen, Phys. Plasmas 15, 023102 (2008)
** C. Chen, R. Pakter and R.C. Davidson, Phys. Rev. Lett. 79, 225 (1997)

 
THPE103 Sorting Chromatic Sectupoles for Second Order Chromaticity Correction in the RHIC sextupole, lattice, power-supply, resonance 4761
 
  • Y. Luo, W. Fischer, G. Robert-Demolaize, S. Tepikian, D. Trbojevic
    BNL, Upton, Long Island, New York
 
 

In this article, based on the contributions of the chromatic sextupole families to the half-integer resonance driving terms, we discuss how to sort the chromatic sextupoles in the arcs of the Relativistic Heavy Ion Collider (RHIC) to easily and effectively correct the second order chromaticities. We propose an online method with 4 knobs or 4 pairs of chromatic sextupole families to correct second order chromaticities. Numerical simulations support this method and shows that it improves the balance of correction strengths among the sextupole families and avoids reversal of sextupole polarities, as well as yielding larger dynamic apertures for the 2009 RHIC 100 GeV polarized proton run.