Beam Dynamics and EM Fields
Dynamics 02: Nonlinear Dynamics
Paper Title Page
MOOCS1 Non-neutral Plasma Traps for Accelerator-free Experiments on Space-charge-dominated Beam Dynamics 46
 
  • H. Okamoto, K. Ito
    HU/AdSM, Higashi-Hiroshima, Japan
  • H. Higaki
    Hiroshima University, Higashi-Hiroshima, Japan
 
  The beam physics group of Hiroshima University has developed compact plasma trap systems to explore diverse fundamental aspects of space-charge-dominated beam dynamics. At present, two Paul ion traps are in operation, one more under construction, and a Penning-Malmberg type trap is also working. These very compact, accelerator-free experiments are based on the isomorphism between non-neutral plasmas in a trap and charged-particle beams traveling in a periodic focusing channel. Systematic studies of coherent betatron resonances, ultralow-emittance beam stability, and halo formation are in progress employing both types of traps. Latest experimental results and possible future plans are addressed in this paper.  
slides icon Slides MOOCS1 [9.193 MB]  
 
MOODS2 Nonlinear Resonance Measurements and Correction in Storage Rings 88
 
  • R. Bartolini
    Diamond, Oxfordshire, United Kingdom
 
  Several theoretical and experimental techniques have been developed in recent years to correct the detrimental effect of nonlinear resonances on dynamic aperture, beam lifetime, injection efficiency and beam loss distribution. These issues are equally important in synchrotron light sources and high energy colliders. We present the latest theoretical and experimental results obtained at the Diamond light source on the characterization of the nonlinear resonances and on the comparison between the nonlinear model of the machine to the real accelerator.  
slides icon Slides MOODS2 [3.159 MB]  
 
TUOCN5 Theoretical Study of Transverse-Longitudinal Emmittance Coupling 758
 
  • H. Qin, R.C. Davidson
    PPPL, Princeton, New Jersey, USA
  • J.J. Barnard
    LLNL, Livermore, California, USA
  • M. Chung
    Handong Global University, Pohang, Republic of Korea
  • T.-S.F. Wang
    LANL, Los Alamos, New Mexico, USA
 
  Funding: Research supported by the U.S. Department of Energy.
The effect of a weakly coupled periodic lattice in terms of achieving emittance exchange between the transverse and longitudinal directions is investigated using the generalized Courant-Snyder theory for coupled lattices.
* H. Qin, M. Chung, and R. C. Davidson, PRL. 103, 224802 (2009).
** H. Qin and R. C. Davidson, PRST-AB 12, 064001 (2009).
 
slides icon Slides TUOCN5 [2.995 MB]  
 
TUODN3 Beam Dynamics Studies of Parallel-Bar Deflecting Cavities 790
 
  • S. Ahmed, J.R. Delayen, A.S. Hofler, G.A. Krafft, M. Spata, M.G. Tiefenback
    JLAB, Newport News, Virginia, USA
  • K.B. Beard
    Muons, Inc, Batavia, USA
  • K.A. Deitrick
    RPI, Troy, New York, USA
  • S.D. Silva
    ODU, Norfolk, Virginia, USA
 
  Funding: Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177.
We have performed three-dimensional simulations of beam dynamics for parallel-bar transverse electromagnetic mode (TEM) type RF separators: normal- and superconducting. The compact size of these cavities as compared to conventional TM110 type structures is more attractive particularly at low frequency. Highly concentrated electromagnetic fields between the parallel bars provide strong electrical stability to the beam for any mechanical disturbance. An array of eight 2-cell normal conducting cavities or a one- or two-cell superconducting structure are enough to produce the required vertical displacement at the Lambertson magnet. Both the normal and superconducting structures show very small emittance dilution due to the vertical kick of the beam.
 
slides icon Slides TUODN3 [1.558 MB]  
 
TUODN4 Dynamic Aperture Optimization using Genetic Algorithms 793
 
  • C. Sun, H. Nishimura, D. Robin, C. Steier, W. Wan
    LBNL, Berkeley, California, USA
 
  Genetic Algorithm is successfully applied to optimize dynamic aperture of lattices for ALS future upgrades. It is demonstrated that the optimization using total diffusion rate as objective has a better performance than the one using dynamic aperture area. The linear and non-linear properties of the lattice are optimized simultaneously, and trade-offs are found among the small emittance, low-beta function and large dynamic aperture. These trade-offs can provide us a guideline to choose a candidate lattice for ALS future upgrades.  
slides icon Slides TUODN4 [1.781 MB]  
 
WEP041 Weak Resonances Induced by Nonlinear Multipoles in a Quadrupole Doublet Lattice 1570
 
  • Y. Zhang, J. G. Wang
    ORNL, Oak Ridge, Tennessee, USA
 
  Funding: This submission was sponsored by a contractor of the United States Government under contract DE-AC05-00OR22725 with the United States Department of Energy.
In this paper we report the effects on beam dynamics from two intrinsic multipole components of a quadrupole magnet – dodecapole and psedu-octupole, in a quadrupole doublet lattice. Weak resonances at transverse phase advances 60°; and 90°; per cell, which may contribute to halo formation and beam loss in a linac, are shown from multi-particle tracking simulations. Although the net effect of the psedu-octupole component alone is very small due to substantial cancellations within the same magnet, its existence may significantly enhance the weak resonances which are induced by the dodecapole component of quadrupole magnets. The combined contributions of these two magnetic field components may not be simply linear-scaled because of the extreme nonlinear nature.
 
 
WEP062 Optimized Sextupole Configurations for Sextupole Magnet Failure in Top-up Operation at the APS* 1588
 
  • V. Sajaev
    ANL, Argonne, USA
 
  Funding: Work supported by the U. S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.
Recently there was a situation at the APS when one sextupole power supply failed during top-up operation (all magnets at the APS have separate power supplies). The beam was not lost but the lifetime decreased significantly to the point where it was hard for the injectors to provide enough charge for top-up injections. Luckily, the power supply was able to reset quickly, and the operation was not compromised. One can anticipate similar failures in the future when it would not be possible to reset the power supply. In such a case, the APS would need to operate with lower lifetime until the next intervention period. Here we present an optimization of the sextupole distribution in the vicinity of the failed sextupole that allows us to partially recover the lifetime. A genetic optimization algorithm that involves simultaneous optimization of the dynamic and energy apertures was used*. Experimental tests are also presented.
* M. Borland et al., "Application of Direct Methods of Optimizing Storage Ring Dynamic and Momentum Apertures," Proc. ICAP2009, to be published.
 
 
WEP064 Beam Dynamics Study of the Intermediate Energy X-Ray Wiggler for the Advanced Photon Source 1594
 
  • A. Xiao, M. Borland, L. Emery, M.S. Jaski, V. Sajaev
    ANL, Argonne, USA
 
  Funding: Work supported by the U. S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.
An intermediate-energy x-ray (IEX) helical wiggler is planned for the APS storage ring. Because of its high field and rapid field roll-off, the disturbance to the beam dynamics is large and needs to be well understood before the installation. We present a new method of fitting the magnetic field to an analytical wiggler model, which simplifies the usual nonlinear fitting problem and guarantees the best fit. The fitting method was validated by comparison to an analytical method.
 
 
WEP065 Multiobjective Dynamic Aperture Optimization at NSLS-II 1597
 
  • L. Yang, W. Guo, S. Krinsky, Y. Li
    BNL, Upton, Long Island, New York, USA
 
  Funding: Work supported by Brookhaven Science Associates, LLC under Contract No. DE-AC02-98CH10886 with the U.S. Department of Energy.
In this paper we present a multiobjective approach to the dynamic aperture (DA) optimization. Taking the NSLS- II lattice as an example, we have used both sextupoles and quadrupoles as tuning variables to optimize both on-momentum and off-momentum DA. The geometric and chromatic sextupoles are used for nonlinear properties while the tunes are independently varied by quadrupoles. The dispersion and emittance are fixed during tunes variation. The algorithms, procedures, performances and results of our optimization of DA will be discussed and they are found to be robust, general and easy to apply to similar problems.
 
 
WEP067 Cornell ERL Tolerance Simulations 1603
 
  • C.E. Mayes
    CLASSE, Ithaca, New York, USA
 
  Funding: Supported by NSF award DMR-0807731
Cornell University is planning to build an Energy Recovery Linac (ERL) hard x-ray lightsource operating at 5 GeV. Simulations of its approximately 3 km of electron beamline that incorporate a host of reasonable alignment and field errors, and their compensation by an orbit correction scheme, are presented. These simulations start with realistic particle distributions just after injection and track them through acceleration, the production of undulator radiation, deceleration (energy recovery), and finally transport to the beam stop. To this realistic model, single error sources are further added with increasing magnitudes in order to establish alignment and field tolerance estimates.
 
 
WEP070 Ring for Test of Nonlinear Integrable Optics 1606
 
  • A. Valishev, V.S. Kashikhin, S. Nagaitsev
    Fermilab, Batavia, USA
  • V.V. Danilov
    ORNL, Oak Ridge, Tennessee, USA
 
  Funding: Work supported by UT-Battelle, LLC and by FRA, LLC for the U. S. DOE under contracts No. DE-AC05-00OR22725 and DE-AC02-07CH11359 respectively.
Nonlinear optics is a promising idea potentially opening the path towards achieving super high beam intensities in circular accelerators. Creation of a tune spread reaching 50% of the betatron tune would provide strong Landau damping and make the beam immune to instabilities. Recent theoretical work* have identified a possible way to implement stable nonlinear optics by incorporating nonlinear focusing elements into a specially designed machine lattice. In this report we propose the design of a test accelerator for a proof-of-principle experiment. We discuss possible studies at the machine, requirements on the optics stability and sensitivity to imperfections.
* V. Danilov and S. Nagaitsev, Phys. Rev. ST Accel. Beams 13, 084002 (2010)
 
 
WEP072 Control of Chaotic Particle Motion Using Adiabatic Thermal Beams 1609
 
  • H. Wei, C. Chen
    MIT, Cambridge, Massachusetts, USA
 
  Funding: This work was supported by US Department of Energy, Grant No. DE-FG02-95ER40919 and Grant No. DE-FG02-05ER54835.
Charged-particle motion is studied in the self-electric and self-magnetic fields of a well-matched, intense charged-particle beam and an applied periodic solenoidal magnetic focusing field. The beam is assumed to be in a state of adiabatic thermal equilibrium. The phase space is analyzed and compared with that of the well-known Kapchinskij-Vladimirskij (KV)-type beam equilibrium. It is found that the widths of nonlinear resonances in the adiabatic thermal beam equilibrium are narrower than those in the KV-type beam equilibrium. Numerical evidence is presented, indicating almost complete elimination of chaotic particle motion in the adiabatic thermal beam equilibrium.
 
 
WEP074 Correcting Aberrations in Complex Magnet Systems for Muon Cooling Channels 1615
 
  • J.A. Maloney, B. Erdelyi
    Northern Illinois University, DeKalb, Illinois, USA
  • A. Afanasev, R.P. Johnson
    Muons, Inc, Batavia, USA
  • Y.S. Derbenev
    JLAB, Newport News, Virginia, USA
  • V.S. Morozov
    ODU, Norfolk, Virginia, USA
 
  Funding: Supported in part by DOE SBIR grant DE-SC0005589
Designing and simulating complex magnet systems needed for cooling channels in both neutrino factories and muon colliders requires innovative techniques to correct for both chromatic and spherical aberrations. Optimizing complex systems, such as helical magnets for example, is also difficult but essential. By using COSY INFINITY, a differential algebra based code, the transfer and aberration maps can be examined to discover what critical terms have the greatest influence on these aberrations.
 
 
WEP076 Masking the Paul Trap Simulator Experiment (PTSX) Ion Source to Modify the Transverse Distribution Function and Study Beam Stability and Collective Oscillations 1618
 
  • E.P. Gilson, R.C. Davidson, P. Efthimion, R. M. Majeski, E. Startsev, H. Wang
    PPPL, Princeton, New Jersey, USA
  • M. Dorf
    LLNL, Livermore, California, USA
 
  Funding: Research supported by the U.S. Department of Energy.
A variety of masks were installed on the Paul Trap Simulator Experiment (PTSX) cesium ion source in order to perform experiments with modified transverse distribution functions. Masks were used to block injection of ions into the PTSX chamber, thereby creating injected transverse beam distributions that were either hollow, apertured and centered, apertured and off-center, or comprising five beamlets. Experiments were performed using either trapped plasmas or the single-pass, streaming, mode of PTSX. The transverse streaming current profiles clearly demonstrated centroid oscillations. Further analysis of these profiles also shows the presence of certain collective beam modes, such as azimuthally symmetric radial modes. When these plasmas are trapped for thousands of lattice periods, the plasma quickly relaxes to a state with an elevated effective transverse temperature and is subsequently stable. Both sinusoidal and periodic step function waveforms were used and the resulting difference in the measured transverse profiles will be discussed.
 
 
WEP082 Crab Crossing Consideration for MEIC 1627
 
  • S. Ahmed, Y.S. Derbenev, G.A. Krafft, Y. Zhang
    JLAB, Newport News, Virginia, USA
  • A. Castilla, J.R. Delayen, S.D. Silva
    ODU, Norfolk, Virginia, USA
 
  Funding: Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177.
Crab crossing of colliding electron and ion beams is essential for accommodating the ultra high bunch repetition frequency in the conceptual design of MEIC – a high luminosity polarized electron-ion collider at Jefferson Lab. The scheme eliminates parasitic beam-beam interactions and avoids luminosity reduction by restoring head-on collisions at interaction points. In this paper, we report simulation studies of beam dynamics with crab cavities for MEIC design. The detailed study involves full 3-D simulations of particle tracking through the various configurations of crab cavities for evaluating the performance. To gain insight, beam and RF dominated fields with other parametric studies will be presented in the paper.
 
 
WEP084 Beam Dynamics and Instabilities in MEIC Design 1630
 
  • S. Ahmed, G.A. Krafft, B.C. Yunn
    JLAB, Newport News, Virginia, USA
 
  Funding: Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177.
In this paper, we report the first study of beam related instabilities in lepton ring of the proposed electron-ion collider beyond the 12 GeV upgrade of CEBAF at Jefferson lab. The design parameters are consistent with PEP-II. Present studies reveal that coupled bunch and two stream instabilities are important issues and we need feedback system.
 
 
WEP087 Numerical Studies of Non-Linear Dynamics in BEP 1636
 
  • I. Koop, E. Perevedentsev
    BINP SB RAS, Novosibirsk, Russia
  • T.V. Zolkin
    University of Chicago, Chicago, Illinois, USA
 
  An analysis of the dependence of experimental captured positron current data from the booster storage ring BEP (VEPP-2000 facility, BINP, Russia) on the working point position on the frequency map has uncovered a great number of different non-linear resonances. The number of captured positrons after a single injection is observed to be much less than the expected value. It is anticipated that the high degree of symmetry in the magnet system of BEP, however, should lead to the suppression of such resonances. To study this discrepancy, numerical simulations of positron beam movement under different perturbations to account for potential errors in magnetic field gradient of non-linear elements and errors in their angular location are used. The findings of this research provide qualitative explanations of the experimental work diagram and answers to two main questions, specifically “Why in the absence of skew-sextupoles in structure and small coupling are strong skew-sextupole resonances observed” and “Why skew-sextupole resonances are stronger than sextupole ones of the same harmonic”. A comparison between simulation results and analytical estimates is also presented.