05 Beam Dynamics and Electromagnetic Fields

D01 Beam Optics - Lattices, Correction Schemes, Transport

Paper Title Page
THOBRA03 Observation of Transverse-Longitudinal Coupling Effect at UVSOR-II 3650
 
  • M. Shimada
    KEK, Ibaraki
  • M. Adachi, M. Katoh, S.I. Kimura
    UVSOR, Okazaki
  • M. Hosaka, Y. Takashima, N. Yamamoto
    Nagoya University, Nagoya
  • T. Takahashi
    KURRI, Osaka
  • T. Tanikawa
    Sokendai - Okazaki, Okazaki, Aichi
 
 

It was theoretically predicted that, when the electron pulse length comes into the femto-second range, transverse motion of the electrons is strongly coupled with the longitudinal one and makes significant effect on the pulse shape. In the experiments, a fine dip structure was created on the electron bunches circulating in a storage ring by a so-called laser bunch slicing technique and then the evolution of the structure was measured through the spectrum of the coherent synchrotron radiation. When the ring was operated in a low-alpha mode, the shape of the dip structure was oscillating with the transverse betatron frequency, which clearly indicates the existence of the longitudinal-transverse coupling effect. This understanding will be crucially important for generation and transportation of ultra-short electron bunches in light sources or colliders for high energy physics. In this presentation, the dependency of the CSR signal intensity on the wavelength of the THz CSR and the electron beam current are also reported.

 

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THPEB035 Solenoid Fringe Field Effects for the Neutrino Factory Linac - MAD-X Investigation 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.

 
THPEC069 Beam Dynamics Studies on the Radio-Frequency Quadrupole for the Bilbao Accelerator 4214
 
  • I. Bustinduy, N. Garmendia, H. Hassanzadegan, D. de Cos
    ESS Bilbao, Bilbao
  • F.J. Bermejo
    Bilbao, Faculty of Science and Technology, Bilbao
  • V. Etxebarria, J. Portilla
    University of the Basque Country, Faculty of Science and Technology, Bilbao
  • J. Feuchtwanger
    ESS-Bilbao, Zamudio
  • S. Jolly, J.K. Pozimski, P. Savage
    Imperial College of Science and Technology, Department of Physics, London
  • A.P. Letchford
    STFC/RAL/ISIS, Chilton, Didcot, Oxon
 
 

The main objective of the Bilbao Front End Test Stand (ETORFETS) is to set up a facility to demonstrate experimentally the design ideas for the future ESS LINAC that are being proposed in discussion forums by the technical scientific community. ETORFETS is focused on the first stage of the linear accelerator, namely, that of the Radio-Frequency Quadrupole (RFQ) and its pre and post beam transport systems. The RFQ bunches, focuses transverse and longitudinally, and accelerates charged particles in the low-energy range (up to ~ 3 MeV), thus becoming one of the main components of the accelerating structure. The first RFQ simulations, performed in Superfish and GPT software packages, will be presented in this work.

 
THPD019 Experimental Generation of Longitudinally-modulated Electron Beams using an Emittance-exchange Technique 4313
 
  • Y.-E. Sun, A.S. Johnson, A.H. Lumpkin, J. Ruan, R. Thurman-Keup
    Fermilab, Batavia
  • P. Piot
    Northern Illinois University, DeKalb, Illinois
 
 

We report our experimental demonstration of longitudinal phase space modulation using transverse-to-longitudinal emittance exchange technique. The experiment is carried out at the A0 photoinjector at Fermi National Accelerator Lab. A vertical multi-slit plate is inserted into the beamline prior to the emittance exchange, thus introducing beam horizontal profile modulation. After the emittance exchange, the longitudinal phase space coordinates (energy and time structures) of the beam are modulated accordingly. This is a clear demonstration of the transverse-to-longitudinal phase space exchange. In this paper, we present our experimental results on the measurement of energy and time profile of the electron beam, as well as numerical simulations of the experiment.

 
THPD020 Beam Dynamics Simulations of the NML Photoinjector at Fermilab 4316
 
  • Y.-E. Sun, M.D. Church
    Fermilab, Batavia
  • P. Piot
    Northern Illinois University, DeKalb, Illinois
 
 

Fermilab is currently constructing a superconducting RF (SRF) test linear accelerator at the New Muon Lab (NML). Besides testing SRF accelerating modules for ILC and Project-X, NML will also eventually support a variety of advanced accelerator R&D experiments. The NML incorporates a 40 MeV photoinjector capable of providing electron bunches with variable parameters. The photoinjector is based on the 1+1/2 cell DESY-type gun followed by two superconducting cavities. It also includes a magnetic bunch compressor, a round-to-flat beam transformer and a low-energy experimental area for beam physics experiments and beam diagnostics R&D. In this paper, we explore, via beam dynamics simulations, the performance of the photoinjector for different operating scenarios.

 
THPD076 Transverse Coupling Compensation at the UVX LNLS Storage Ring 4455
 
  • X.R. Resende, L. Liu
    LNLS, Campinas
 
 

In this paper we report on recent developments in transverse coupling characterization and compensation in the UVX storage ring at the Brazilian Synchrotron Light Laboratory (LNLS). We have designed and manufactured a compact skew quadrupole with which it was possible to completely compensate coupling introduced by insertion devices (IDs) in the ring.

 
THPD077 Linear Collider Test Facility: Twiss Parameter Analysis at the IP/Post-IP location of the ATF2 beam line 4458
 
  • B. Bolzon, A. Jeremie
    IN2P3-LAPP, Annecy-le-Vieux
  • S. Bai
    IHEP Beijing, Beijing
  • P. Bambade
    KEK, Ibaraki
  • G.R. White
    SLAC, Menlo Park, California
 
 

At the first stage of the ATF2 beam tuning, vertical beam size is usually bigger than 3um at the IP. Beam waist measurements using wire scanners and a laser wire are usually performed to check the initial matching of the beam through to the IP. These measurements are described in this paper for the optics currently used (βx=4cm and βy=1mm). Software implemented in the control room to automate these measurements with integrated analysis is also described. Measurements showed that beta functions and emittances were within errors of measurements when no rematching and coupling corrections were done. However, it was observed that the waist in the horizontal (X) and vertical (Y) plane was abnormally shifted and simulations were performed to try to understand these shifts. They also showed that multiknobs are needed in the current optics to correct simultaneously αx, αy and the horizontal dispersion (Dx). Such multiknobs were found and their linearity and orthogonality were successfully checked using MAD optics code. The software for these multiknobs was implemented in the control room and waist scan measurements using the αy knob were successfully performed.

 
THPD078 A Non Invasive Technique for the Transverse Matching in a Periodic Focusing Channel of a Linac 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.

 
THPD079 Optical Studies for the Super Separator Spectrometer S3 4464
 
  • D. Boutin, M. Authier, F. Dechery, O. Delferrière, A. Drouart, J. Payet, D. Uriot
    CEA, Gif-sur-Yvette
  • M. Amthor, H. Savajols, M.-H. Stodel
    GANIL, Caen
  • S.L. Manikonda, J.A. Nolen
    ANL, Argonne
 
 

S3 (Super Separator Spectrometer) [1] is a future device designed for experiments with the high intensity heavy ion stable beams of SPIRAL2 [2] at GANIL (Caen, France). It will include a target resistant to these very high intensities, a first stage momentum achromat for primary beam extraction and suppression, a second stage mass spectrometer and a dedicated detection system. This spectrometer includes large aperture quadrupole triplets with embedded multipolar corrections. To enable the primary beam extraction one triplet has to be opened on one side, which requires an appropriate design of such a multipolar magnet. The final mass separation power required for S3 needs a careful design of the optics with a high level of aberration correction. Multiple symmetric lattices were studied for this purpose. A 4-fold symmetric lattice and the achieved results are described in this paper.


[1] A. Drouart et al., Nucl. Phys. A 834 (2010) 747c. [2] SPIRAL2, http://pro.ganil-spiral2.eu/spiral2

 
THPD080 Coupling Measurements in ATF2 Extraction Line 4467
 
  • C. Rimbault
    LAL, Orsay
  • S. Kuroda, T. Tauchi, N. Terunuma
    KEK, Ibaraki
  • G.R. White, M. Woodley
    SLAC, Menlo Park, California
 
 

The purpose of ATF2 is to deliver a beam with stable very small spotsizes as required for future linear colliders such as ILC or CLIC. To achieve that, precise controls of the aberrations such as dispersion and coupling are necessary. Theoretically, the complete reconstruction of the beam matrix is possible from the measurements of horizontal, vertical and tilted beam sizes, combining skew quadrupole scans at several wire-scanner positions. Such measurements were performed in the extraction line of ATF2 in May 2009. We present analysis results attempting to resolve the 4X4 beam matrix and discuss the experimental limitations of 4D emittance measurements with wire scanners.

 
THPD081 Reducing Energy Spread of the Beam by Non-isochronous Recirculation at the S-DALINAC 4470
 
  • F. Hug, A. Araz, R. Eichhorn, N. Pietralla
    TU Darmstadt, Darmstadt
 
 

The Superconducting Linear Accelerator S-DALINAC at the University of Darmstadt/ Germany is a recirculating Linac with two recirculations. Currently acceleration in the Linac is done on crest of the acceleration field using the maximum of the field in every turn. The recirculation of the beam is done isochronous without any longitudinal dispersion. In this recirculation scheme the energy spread of the resulting beam is determined by the stability of the used RF system. In this work we will present a new non-isochronous recirculation scheme, which uses longitudinal dispersion in the recirculations and an acceleration on edge of the accelerating field as it is done in microtrons. We will present beam dynamic calculations which show the usability of this system even in a Linac with only two recirculations and first measurements of longitudinal dispersion using RF monitors.

 
THPD082 Beam Accumulation in a Stellarator Type Storage Ring 4473
 
  • M. Droba, N.S. Joshi, O. Meusel, H. Niebuhr, U. Ratzinger
    IAP, Frankfurt am Main
 
 

The stellarator-type storage ring for multi- Ampere proton and ion beams with energies in the range of 100 AkeV to 1AMeV was designed. The main idea for beam confinement with high transversal momentum acceptance was presented in EPAC06 and EPAC08. Stable beam transport in opposite directions is possible through the same aperture with two crossing points along the structure. Elsewhere the beams are separated by the RxB drift motion in curved sections. The space charge compensation through the trapped or circulated electrons will be discussed. This ring is typically suited for experiments in plasma physics and nuclear astrophysics. Here we present the complete simulations for optimization of ring geometry, a stable beam confinement and developments in beam injection.

 
THPD083 Apochromatic Beam Transport in Drift-Quadrupole Systems 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.

 
THPD085 Correction of the Linear Optics at PETRA III 4482
 
  • J. Keil, K. Balewski
    DESY, Hamburg
 
 

PETRA III is a 6 GeV third generation light source located at DESY/Hamburg. The former pre-accelerator of HERA has been converted in 2007/2008 into a high brilliance synchrotron light source with an emittance of 1 nm*rad. The commissioning of PETRA III started in 2009. PETRA III is like other third generation light sources very sensitive to errors of the linear optics. Gradient errors reduce the dynamic aperture, increase the emittance and change the beam size. The correction of the optics is based on orbit response matrix data which were analyzed both with the program LOCO and with a fit of the beta-functions and phase-functions at BPMs and correctors. Initial results of the modelling of the machine and the correction of the linear optics functions will be presented.

 
THPD086 Measurement and Correction of Transverse Dispersion in PETRA III 4485
 
  • G.K. Sahoo, K. Balewski, W. Decking, J. Keil
    DESY, Hamburg
 
 

PETRA III is a 6GeV positron light source with a design horizontal beam emittance of 1nm.rad and 1% emittance coupling. This low emittance is achieved with proper correction of horizontal dispersion to its theoretical values in the arcs as well as dispersion free sections. The spurious vertical dispersion, arising due to misalignment and rotational errors of the magnets is also duly corrected as this contributes to the vertical beam size of the photon beam. Here we discuss the method taken to correct the horizontal dispersion using a combined orbit and dispersion correction scheme. In the vertical plane the same procedure can be used as that of horizontal plane or only the dispersion can be corrected using dedicated skew quadrupoles to millimeter level after orbit correction has been done. In this paper we present the methods used and results obtained in correction of dispersions in transverse planes.

 
THPD087 Potential Forms for Electrostatic and Magnetic Cylindrical Lens and Tracking of Charged Particle 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.

 
THPD088 Study of Coupler's Effects on ILC Like Lattice 4491
 
  • A. Saini
    University of Delhi, Delhi
  • A. Latina, A. Lunin, K. Ranjan, N. Solyak, V.P. Yakovlev
    Fermilab, Batavia
 
 

It is well known that insertion of a coupler into a RF cavity breaks the rotational symmetry of the cavity, resulting in an asymmetric field. This asymmetric field results in a transverse RF Kick. This RF kick transversely offsets the bunch from the nominal axis & it depends on the longitudinal position of the particle in the bunch. Also, insertion of coupler generates short range transverse wake field which is independent from the transverse offset of the particle. These effects cause emittance dilution and it is thus important to study their behavior & possible correction mechanisms. These coupler effects, i.e. coupler's RF kick & coupler's wake field are implemented in a beam dynamics program, Lucretia. Simulations are performed for main linac & bunch compressor of International Linear Collider (ILC) like lattices. Results are compared with Placet results & a good agreement has been achieved.

 
THPD089 Analytical Formula for the Transient Bunch Lengthening by a Betatron Motion along Bending Sections 4494
 
  • Y. Shoji
    NewSUBARU/SPring-8, Laboratory of Advanced Science and Technology for Industry (LASTI), Hyogo
 
 

A simple analytical formula for the transient bunch lengthening by betatron motion along bending sections is explained. The formula describes a longitudinal and transverse coupling for a single-pass line, which is obtained as an extension of the formula for a storage ring. The bunch lengthening is expressed by a product of three factors: the square root of horizontal betatron emittance, a betatron phase factor, and the square root of the H-function, in other words, dispersion action. That effect had been calculated in many reports concerning with sub-ps electron bunch generation, such as the laser-bunch slicing, the vertical bunch deflection by a crab cavity, and the beam transport along a quasi-isochronous bending arcs. In these works the transfer matrix elements, R15 and R25, had been calculated for each of various conditions. On the contrary, our simple and general analytical formula gives a good foresight to understand the observed phenomena and for an easy optimization of parameters of bending arcs.

 
THPD090 Design of Modified Lattice of Long Straight Section in the SPring-8 Storage Ring 4497
 
  • K. Soutome, K. Fukami, M. Oishi, Y. Okayasu, J. Schimizu, Y. Shimosaki, M. Shoji, M. Takao, H. Yonehara
    JASRI/SPring-8, Hyogo-ken
 
 

A set of three in-vacuum undulators is going to be installed in one of four long straight sections of the SPring-8 storage ring. In order to make the undulator gap as narrow as possible, we plan to divide this long straight section into three sub-sections and install quadrupole magnets between these sub-sections to lower the vertical betatron function. In the modified lattice, however, the symmetry of the ring is lowered and in general it becomes difficult to keep a sufficient dynamic aperture for on- and off-momentum electrons. The long straight sections were originally introduced in the year 2000 and at that time we developed a method of "quasi-transparent matching of sextupole fields" where two key concepts of betatron phase matching and local chromaticity correction were combined to obtain a sufficient dynamic aperture and momentum acceptance. Then, in the year 2007 "counter-sextupole magnets" were further installed to cancel the effect due to non-linear kick by sextupole magnets used for local chromaticity correction. In designing the new lattice with a modified long straight section, we followed the same line and could recover the dynamic aperture and momentum acceptance.

 
THPD091 Explicit Maps for the Fringe Field of a Quadrupole 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.

 
THPD092 Applications of Advanced scaling FFAG Accelerator 4503
 
  • J.-B. Lagrange, Y. Ishi, Y. Kuriyama, Y. Mori, K. Okabe, T. Planche, T. Uesugi, E. Yamakawa
    KURRI, Osaka
 
 

Until today, scaling FFAG accelerator were only designed in a ring shape. But a new criteria of the magnetic field configuration satisfying the scaling condition even for straight FFAG beam line has been recently found. Moreover, combining different types of cells can be used to imagine new lattices. Various applications using these recent developments are here examined: inprovements of the PRISM project and the ERIT project, and a zero-chromatic carbon gantry concept are presented.

 
THPD093 New Approaches to Muon Acceleration with Zero-chromatic FFAGS 4506
 
  • T. Planche, Y. Ishi, Y. Kuriyama, J.-B. Lagrange, Y. Mori, K. Okabe, T. Uesugi, E. Yamakawa
    KURRI, Osaka
 
 

The acceleration of intense muon beams up to 25 GeV is the challenge of the international design work for a future neutrino factory. The present baseline scenario for muon acceleration is based on linacs, recirculating linear accelerators (RLAs) and non-scaling fixed field alternating gradient (FFAG) rings. However RLAs are one of the most cost driving part. Two new approaches to use zero-chromatic FFAG instead of RLA have been proposed. Detailed lattices parameters and 6D tracking results are presented.

 
THPD094 Production of Femtosecond Electron Pulse using Alpha Magnet together with Off-crest Acceleration for Generation of Coherent THz Radiation 4509
 
  • F. Miyahara, H. Hama, F. Hinode, M. Kawai, T. Muto, K. Nanbu, H. Oohara, Y. Tanaka
    Tohoku University, School of Scinece, Sendai
 
 

We have studied production of the very short-bunch electron beam to generate intense coherent THz radiation*. The bunch length of 100 fs is required to produce CSR around 1 THz. The beam from the thermionic RF-gun is introduced into the bunch compression system consist of an alpha magnet and a linac. The alpha magnet is often used as a bunch compressor for electron energy of several MeV. However, for our system, the alpha magnet plays a role of the longitudinal phase space rotator and energy filter. The bunch compression is done in the linac employing velocity bunching. The beam is injected on near the zero-cross phase of the RF field in the linac, and then the beam phase slip toward the crest. The longitudinal phase space and beam phase with respect to RF field at the entrance of the linac are optimized so that the bunch length would be minimum. In current analysis using numerical simulation based on the GPT code**, an rms bunch length of 30 fs has been obtained for a bunch charge of 20 pC. We will discuss the bunch compression scheme and the beam dynamics in the system. Prospect of the coherent radiation from the beam will be also reported.


* H. Hama et al, Proc. Ultrashort Electron & Photon Beam Techniques and Applications, Xian, China (2009)
** General Particle Tracer (GPT), URL: http://www.pulsar.nl/gpt

 
THPD096 Simulation of Multiknobs Correction at ATF2 4512
 
  • S. Bai, J. Gao
    IHEP Beijing, Beijing
  • P. Bambade
    KEK, Ibaraki
  • B. Bolzon
    IN2P3-LAPP, Annecy-le-Vieux
 
 

The ATF2 project is the final focus system prototype for ILC and CLIC linear collider projects, with a purpose to reach a 37nm vertical beam size at the interaction point. During initial commissioning, we started with larger than nominal β-functions at the IP, to reduce the effects from higher-order optical aberrations and thereby simplify the optical corrections needed. We report on simulation studies at two different IP locations developed based on waist scan, dispersion, coupling and β function multiknobs correction in the large β optics of ATF2, in the presence of two kinds of magnet inaccuracies (quadrupole gradient and roll errors) to generate all possible linear optics distortions at the IP. A vertical beam size which is very close to the nominal beam size is obtained based on the simulation study.

 
THPE001 Low Emittance Lattice Optimization Using Multiobjective Genetic Algorithm 4515
 
  • W.W. Gao, W. Li, L. Wang
    USTC/NSRL, Hefei, Anhui
 
 

Low emittance is a desirable performance for high brightness synchrotron light source and damping ring. The work presented in this paper demonstrates that the lattice of a given electron storage ring, which has fixed circumference and magnet layout, can be optimized to obtain low emittance by using MOGA (Multi-objective Genetic Algorithm). Both dispersion-free and non-dispersion-free lattices of HLS (Hefei Light Source) upgrade project are computed as an illustration. Simulation result shows that this method is fast and straightforward.

 
THPE005 Beam Polarization Theory and its Application to HLS Storage Ring 4518
 
  • J.Q. Lan, B. Sun, Y.C. Sun, H. Xu
    USTC/NSRL, Hefei, Anhui
 
 

A brief, but clear, review of beam polarization theory is given in the paper. Particularly, the algorithm of spin linear transfer matrix (SLIM) is applied to remark the situation of beam in storage ring, specific to HLS (Hefei Light Source). Theoretical analysis indicates that the beam in HLS, working at 800MeV and 2.58/3.58 transverse tunes, could keep away from a variety of spin resonances, and should be able to build up high polarization.

 
THPE006 Closed Orbit Correction of Hefei Light Source (HLS) Upgrading Storage Ring 4521
 
  • S.C. Zhang, W. Fan, G. Feng, W.W. Gao, H. Geng, Z.G. He, W. Li, L. Wang, H. Xu
    USTC/NSRL, Hefei, Anhui
 
 

In order to meet the increasing requirements of synchrotron radiation users, an upgrading plan of hefei light source is undergoing by National Synchrotron Radiation Laboratory (NSRL). The emittance of storage ring is reduced from 166nm.rad to 36nm.rad. In this paper, we study the beam close orbit distortions' (COD) sensitivity to the field and alignment errors in magnets. Estimation of the COD from various error sources is investigated. The distribution of beam position monitors and the location of correctors are reported in the paper. Simulation proves that COD can be corrected down to 50 microns level. In the same time the corrector strengths are weaker enough in the correction scheme.

 
THPE007 The Upgrade of the Hefei Light Source (HLS) Transport Line 4524
 
  • S.C. Zhang, W. Fan, G. Feng, W.W. Gao, W. Li, L. Wang, H. Xu
    USTC/NSRL, Hefei, Anhui
 
 

To enhance the performance of Hefei Light Source, an upgrade project is undergoing. The magnet lattice of storage ring will be reconstructed with 4 DBA cells, whose advantages are lower beam emittance and more straight section available for insertion devices. In order to assure smooth beam accumulation process under new low emittance lattice, the injector, which is composed of electron linac and beam transfer line, would be updated. The detail of upgrading Hefei Light Source transport line will be described in this paper. It include the upgrading of lattice, the orbit control of beam transfer line and others. It is hopeful to realize a high transfer efficiency and high injection efficiency for new lower beam emittance storage ring.

 
THPE008 Issues on Beam Dynamics in PLS-II 4527
 
  • J.G. Hwang, S.W. Jang, E.-S. Kim
    Kyungpook National University, Daegu
 
 

Pohang Light Source-Ⅱ (PLS-Ⅱ) is an upgrade project of the existing 2.5 GeV PLS. The circumference, beam current and energy of PLS-Ⅱ storage ring are 281.82 m, 400 mA and 3 GeV, respectively. The upgrade project has many issues on beam dynamics. We investigated lattice optimization such as lattice corrections, dynamic aperture, selection of optimized tune & emittance and effects of insertion devices. MAD, SAD and Elegant have been used to the lattice optimization. We investigated the effects of machine errors and 20 IDs to the dynamic aperture. PLS-Ⅱ lattice include twenty insertion devices and their effects on the beam dynamics are investigated. We also investigate possibility to reduce the emittance by increasing horizontal betatron tune and adjusting the dispersion by using of MAD, SAD and Elegant and also examined the required strengths of sextupoles for the various emittances.

 
THPE011 Coupling Diagnostics and Control at PLS Storage Ring 4533
 
  • I. Hwang, C. Kim, K.R. Kim, M. Kim, S.H. Nam, S.J. Park, S. Shin
    PAL, Pohang, Kyungbuk
  • J. Hou, L.G. Liu
    SINAP, Shanghai
 
 

The measurement and the control of the coupling is essential to maximize synchrotron performance. Small coupling is required for small vertical size and high brightness. The Pohang Light Source has a 2.5 GeV storage ring and its coupling constant is measured as about 1%. In addition to errors at quadrupole or sextupole, the condition varying of the insertion device affects the coupling. The coupling for various condition is measured by the resonance and the response matrix and compared with the beam size and the lifetime. The correction and the control of the coupling is presented.

 
THPE012 U400 Cyclotron Spiral Inflector with Beam Vertical Focusing Effect 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.

 
THPE013 Invariants of Linear Equations of Motion 4539
 
  • N.Yu. Kazarinov
    JINR, Dubna, Moscow Region
 
 

Courant-Snyder invariant and Root Mean Square (RMS) beam emittance are well-known invariants of linear equation of motion. They are connected with the second order moments of a beam distribution function. Other invariants of linear equations of motion generated by second and higher order moments are presented in this report.

 
THPE014 Round Beam Lattice Correction using Response Matrix at VEPP-2000 4542
 
  • A.L. Romanov, D.E. Berkaev, I. Koop, A.N. Kyrpotin, E. Perevedentsev, Yu. A. Rogovsky, P.Yu. Shatunov, D.B. Shwartz
    BINP SB RAS, Novosibirsk
 
 

Lattice correction based on orbit responses to dipole correctors and orbit correction based on orbit responses to field gradient variations in quads were successfully implemented on VEPP-2000 [*] for the flat-beam lattice. The round-beam lattice involves strong coupling of vertical and horizontal motions that require a full-coupling analysis in the orbit response technique. Programs used were modified to treat this task. Also, automation and speed enhancements were done that enable a routine use of this technique at VEPP-2000. New experimental results from VEPP-2000 are presented.


* Yu.M.Shatunov et al. Project of a New Electron-Positron Collider VEPP-2000, in: Proc. 7th European Particle Accelerator Conf. (EPAC 2000), Vienna, Austria, 439-441

 
THPE018 Layout and Optics Solution for the LHC Insertion Upgrade Phase I 4548
 
  • S.D. Fartoukh
    CERN, Geneva
 
 

The main guidelines of the LHC insertion (IR) upgrade Phase I are 1) the development of wider aperture (120 mm) and lower gradient (~120 T/m) quadrupoles using the well-characterized Nb-Ti technology in order to replace the existing inner triplets (IT) equipping the ATLAS and CMS high-luminosity IRs of the LHC, 2) while maximizing the use of the current LHC infrastructure, in particular leaving unchanged the so-called "matching sections" (MS) and "dispersion suppressors" (DS) of these two insertions. One of the initial goals was to be able to squeeze the optics up to a beta* of 25 cm. However, optics solutions with a beta* of 30 cm seems already to be at edge of achievability, both in terms of the IT and MS mechanical acceptance, gradients of the MS and DS quadrupole magnets, and correctability by the LHC arc sextupoles of the huge chromatic aberrations induced by the new inner triplet at ultimate beta*. The layout of the new inner triplet and the corresponding injection and collision optics will be presented and analyzed both in terms of aperture, squeeze-ability and chromatic correction.

 
THPE019 CERN Proton Synchrotron Working Point Matrix for Extended Pole Face Winding Powering Scheme 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.

 
THPE020 Scenarios for the ATF2 Ultra-Low Betas Proposal 4554
 
  • E. Marin, R. Tomás
    CERN, Geneva
  • P. Bambade
    LAL, Orsay
  • S. Kuroda, T. Okugi, T. Tauchi, N. Terunuma, J. Urakawa
    KEK, Ibaraki
  • B. Parker
    BNL, Upton, Long Island, New York
  • A. Seryi, G.R. White, M. Woodley
    SLAC, Menlo Park, California
 
 

The current ATF2 Ultra-Low beta proposal was designed to achieve 20nm vertical IP beam size without considering the multipolar components of the FD magnets. In this paper we describe different scenarios that avoid the detrimental effect of these multipolar errors in the FD. The simplest approach consists in modifying the optics but other solutions are studied as the introduction of new higher order magnets or the replacement of the FD with SC technology. The practical aspects of such an upgrade are the tuning performance and the compatibility with existing devices and instrumentation. These are fully addressed in the paper.

 
THPE021 Comparison of PS2 Lattices with Different Geometries 4557
 
  • Y. Papaphilippou, W. Bartmann, H. Bartosik, M. Benedikt, B. Goddard, A. Lachaize
    CERN, Geneva
  • Y. Senichev
    FZJ, Jülich
 
 

The PS2 ring is designed with negative momentum compaction arc cells and doublet straights. In this paper, different lattice geometries are considered. In particular, a two-fold symmetric lattice with dispersion suppressors and a 3-fold symmetric one with resonant arc cells are compared with respect to their optics properties, and ability to satisfy space and magnet constraints. The tuning flexibility of rings based on these two options is presented. Finally, the impact of different geometries on resonance excitation and dynamic aperture is evaluated.

 
THPE022 Linear Optimization and Tunability of the PS2 Lattice 4560
 
  • H. Bartosik, W. Bartmann, M. Benedikt, B. Goddard, Y. Papaphilippou
    CERN, Geneva
 
 

The PS2 lattice, based on Negative Momentum Compaction (NMC) arc cells is being optimized in order to accommodate a new all-doublet long-straight section (LSS) design. Apart from smoothing the optics and enabling different tuning solutions for H- injection, the optimization focuses on increasing the available magnet-to-magnet drift space and reducing the quadrupole types and strengths. The variation of lattice parameters for a wide range of working points is presented.

 
THPE024 Coupling and Vertical Dispersion Correction in the SPS 4566
 
  • G. Vanbavinckhove, M. Aiba, R. Tomás
    CERN, Geneva
  • R. Calaga
    BNL, Upton, Long Island, New York
 
 

Consolidation of the coupling correction scheme in the LHC is motivated due to a missing skew quadrupole family in Sector 3-4 at the start-up in 2009. Simultaneous coupling and vertical dispersion correction using vertical orbit bumps at the sextupoles, was studied by analyzing turn-by-turn data. This scheme was tested in SPS where the optical structure of arc cells is quite similar to the LHC. In SPS, horizontal and vertical beam positions are measured separately with single plane BPMs, thus a technique to construct "pseudo double plane BPM" is also discussed.

 
THPE025 Coupling and Vertical Dispersion Correction studies for the LHC using Skew Quadrupoles and Vertical Orbit Bumps 4569
 
  • G. Vanbavinckhove, M. Aiba, R. Tomás
    CERN, Geneva
  • R. Calaga
    BNL, Upton, Long Island, New York
 
 

After the incident in the LHC in 2008, few skew quadrupoles were damaged and subsequently removed from the tunnel. This could limit the correction of local coupling in the LHC. In order to increase the flexibility in the coupling correction it has been proposed to use of vertical orbit bumps at the sextupoles is studied. Moreover a simultaneous coupling and vertical dispersion can be implemented. Various studies are presented addressing the optimal approach for the correction of the vertical dispersion and the sum and difference coupling resonances.

 
THPE026 Software Package for Optics Measurement and Correction in the LHC 4572
 
  • G. Vanbavinckhove, M. Aiba, R. Tomás
    CERN, Geneva
  • R. Calaga
    BNL, Upton, Long Island, New York
 
 

A software package has been developed for the LHC on-line optics measurement and correction. This package includes several different algorithms to measure phase advance, beta functions, dispersion, coupling parameters and even some non-linear terms. A Graphical User Interface provides visualization tools to compare measurements to model predictions, fit analytical formula, localize error sources and compute and send corrections to the hardware.

 
THPE027 Construction and Performance of IP Optics Tuning Knobs in the LHC 4575
 
  • S.M. White, R. Tomás, G. Vanbavinckhove, W. Venturini Delsolaro
    CERN, Geneva
 
 

During the first years of operation of the LHC unknown field errors or misalignments could lead to unmatched optics and discrepancies with respect to the model. This could affect some critical parameters such as the luminosity or the lifetime. It is therefore desirable to implement tools which allow for fine tuning of the IP optics and could be used during the commissioning phase of the LHC. In this paper we report on the implementation the performances and the limitations of these commissioning tools.

 
THPE029 Studies of Insertion Device Modeling on TPS Project 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.

 
THPE030 Double Mini-Betay Optics for TPS Storage Ring 4581
 
  • M.-S. Chiu, H.-P. Chang, H.C. Chao, C.-C. Kuo, H.-J. Tsai, C.H. Yang
    NSRRC, Hsinchu
 
 

To evaluate the feasibility for installing two insertion devices in the long straight sections (12 m long) of the TPS storage ring, two different kinds of the double mini-betay optics (symmetric and asymmetric configurations) were proposed to fulfill this purpose. In the symmetric case a quadrupole triplet is located at the center of the long straight, while in the asymmetric case a quadrupole doublet is used. The effects on the beam dynamics, such as the dynamic aperture, injection efficiency, and lifetime, etc., are presented.

 
THPE031 MATLAB-based Accelerator Physics Applications for the TPS Commissioning and Operation at NSRRC 4584
 
  • F.H. Tseng, H.-P. Chang, J. Chen, P.C. Chiu, K.T. Hsu, C.-C. Kuo, H.-J. Tsai
    NSRRC, Hsinchu
 
 

Taiwan Photon Source (TPS) is the second synchrotron light source in Taiwan which is currently under construction at the NSRRC existing site. With a 3 GeV beam energy, low emittance, 24-DB structure in the storage ring, the TPS can generate higher brilliance and more abundant X-ray sources. TPS is in complementary to the overbooked 1.5 GeV Taiwan Light Source (TLS). The MATLAB-based accelerator physics application programs planned for the TPS commissioning and operation is a high-level software collection including the MML, AT, LOCO, etc., developed at ALS and SLAC. In this report, the testing results by employing this package to the Taiwan Light Source (TLS) are given and the simulations of the TPS virtual machine are also demonstrated.

 
THPE032 Calculation of Coupled Lattice Functions from Turn-by-turn Trajectory Data in Storage Rings 4587
 
  • A. Wolski, M. Korostelev, K.G. Panagiotidis
    The University of Liverpool, Liverpool
 
 

BPMs capable of high resolution turn-by-turn bunch position measurements are becoming increasingly widely used in electron storage rings. Analysis of the data from a set of such BPMs following the excitation of a coherent betatron oscillation can yield useful information for tuning the optics and improving machine performance. This approach to optics measurement has the benefits that the data collection is very fast, and analysis can be local, so that application is as easy for a large ring as for a small one. Here, we describe a technique for using turn-by-turn BPM data to determine lattice functions that describe the local coupling in a storage ring; this may be helpful, for example, for achieving low vertical emittance. We discuss the principles of the technique, give some examples, and discuss possible limitations arising from BPM gain and coupling errors.

 
THPE033 Beam Dynamics Studies for the First Muon Linac of the Neutrino Factory 4590
 
  • C. Bontoiu, M. Aslaninejad, J.K. Pozimski
    Imperial College of Science and Technology, Department of Physics, London
  • S.A. Bogacz
    JLAB, Newport News, Virginia
 
 

Within the Neutrino Factory Project the muon acceleration process involves a complex chain of accelerators including a (single-pass) linac, two recirculating linacs and an FFAG. The linac consists of RF cavities and iron shielded solenoids for transverse focusing and has been previously designed relying on idealized field models. However, to predict accurately the transport and acceleration of a high emittance 30 cm wide beam with 10 % energy spread requires detailed knowledge of fringe field distributions. This article presents results of the front-to-end tracking of the muon beam through numerically simulated realistic field distributions for the shielded solenoids and the RF fields. Real and phase space evolution of the beam has been studied along the linac and the results will be presented and discussed.

 
THPE034 A Non-Scaling FFAG Gantry Design for the PAMELA Project 4593
 
  • R.J.L. Fenning, A. Khan
    Brunel University, Middlesex
  • T.R. Edgecock
    STFC/RAL, Chilton, Didcot, Oxon
  • D.J. Kelliher, S. Machida
    STFC/RAL/ASTeC, Chilton, Didcot, Oxon
 
 

A gantry is required for the PAMELA project using non-scaling Fixed Field Alternating Gradient (NS-FFAG) magnets. The NS-FFAG principle offers the possibility of a gantry much smaller, lighter and cheaper than conventional designs, with the added ability to accept a wide range of fast changing energies. This paper will build on previous work to investigate a design which could be used for the PAMELA project.

 
THPE036 Tune Measurement in Non Scaling FFAG EMMA with Model Independent Analysis 4596
 
  • Y. Giboudot
    Brunel University, Middlesex
  • I. Kirkman, A. Wolski
    The University of Liverpool, Liverpool
 
 

The Non Scaling Fixed Field Alternating Gradient (NS-FFAG) EMMA accelerator has a purely linear lattice and thus allows important tune variation. The crossing of resonances during acceleration is a key characteristic of the beam dynamics. An accurate measurement of the tune is therefore mandatory. However commonly used measurement techniques requires the beam to perform an important number of turns in the machine. Simulations have shown that fast decoherence of the beam requires the study of another measurement technique. The model independent analysis (MIA) has been investigated. The singular value decomposition (SVD) of a matrix composed of simulated BPMs reading of various bunches trajectories gives a description of the optics function at each Beam Position Monitor. Including misalignment errors and electronic noise, an accurate value of the tune has been derived from statistical treatment repeating this process few hundreds of time.


yoel.giboudot@stfc.ac.uk

 
THPE037 Low Alpha Operation of the Diamond Storage Ring 4599
 
  • I.P.S. Martin, G. Rehm, J. Rowland, C.A. Thomas
    Diamond, Oxfordshire
  • R. Bartolini, I.P.S. Martin
    JAI, Oxford
 
 

The Diamond storage ring has been operated in low alpha mode providing short-pulse radiation for pump-probe experiments and coherent radiation for THz/IR measurements. Two lattices have been implemented, with both capable of providing a variable alpha in the range ±2x10-5, down to minimum values well below 1x10-6. The second lattice additionally provides a low emittance of 4nm.rad, compared to 35nm.rad for the first lattice. An overview of operation in low alpha mode is given, along with first measurements of coherent emission at long wavelengths under a variety of conditions.

 
THPE038 Low-emittance Tuning Simulations for the ILC Damping Rings 4602
 
  • K.G. Panagiotidis, A. Wolski
    Cockcroft Institute, Warrington, Cheshire
  • M. Korostelev, K.G. Panagiotidis
    The University of Liverpool, Liverpool
 
 

One of the major challenges for the International Linear Collider (ILC) damping rings is the attainment of the 2 pm vertical emittance specification. To achieve such an ultra-low vertical emittance a highly effective diagnostics and correction system is needed. However, since both BPMs and correctors have also negative impacts on the design (cost, complexity, impedance), it is important to understand how the number and locations of both these components affect the correction. In this paper we present the results of simulations for the Technical Design Phase baseline damping rings lattice (DCO4), aimed at understanding the effectiveness of orbit, dispersion, and coupling correction for different design and operation scenarios.

 
THPE039 Optimization of dipole-field profiles for emittance reduction in storage rings 4605
 
  • C.-x. Wang, Y. Wang
    ANL, Argonne
  • Y.M. Peng
    IHEP Beijing, Beijing
 
 

Nonuniform dipoles with bending field variation have been studied for reducing storage ring emittance in recent years. According to a new minimum emittance theory, the effects of an arbitrary dipole can be characterized by two parameters. To have a better idea of the potentials of nonuniform dipoles, here we numerically explore the values of these two parameters for optimal emittance reduction.

 
THPE040 A Spin Rotator for the Compact Linear Collider 4608
 
  • A. Latina, N. Solyak
    Fermilab, Batavia
  • D. Schulte
    CERN, Geneva
 
 

Polarized positron and electron beams are ideal for searching for new physics at the Compact Linear Collider (CLIC). In order to properly orient and preserve the polarization of the beam at the interaction point, the beam polarization must be manipulated by a spin rotator along the beam line. In this paper a spin rotator design for the CLIC is presented and its integration into the CLIC ring to main linac transport system is discussed.

 
THPE042 Single-stage Bunch Compressor for ILC-SB2009 4611
 
  • A. Latina, N. Solyak
    Fermilab, Batavia
 
 

The Project Management Design Team of the International Linear Collider has recently proposed fundamental changes to the published ILC RDR baseline with the goal of presenting a potential alternate design providing a more cost-effective solution. In this framework a new lattice for the Damping Rings has been presented, shortening the exit bunch length from the RDR value of 9 mm down to 6 mm. The shorter bunch length allowed the adoption of a simpler single-stage bunch compressor, instead of the RDR two-stage compressor. The new single-stage compressor has a compression ratio of 20 and still achieves the nominal RDR value of 0.3 mm bunch length at the Interaction Point. The new design has been optimized to generate the required compression while having a small SR emittance growth, and reduced energy spread. The new lattice and its optimization procedure are presented in this paper.

 
THPE043 Demonstration of Transverse-to-longitudinal Emittance Exchange at the Fermilab Photoinjector 4614
 
  • A.S. Johnson, H.T. Edwards, T.W. Koeth, A.H. Lumpkin, P. Piot, J. Ruan, J.K. Santucci, Y.-E. Sun, R. Thurman-Keup
    Fermilab, Batavia
 
 

Phase space manipulation techniques within two degrees of freedom are foreseen to enhance the performances of next generation accelerators such as high-energy physics colliders and accelerator based light sources. At the Fermilab A0 photoinjector, a proof-of-principle experiment to demonstrate the exchange of the transverse and longitudinal emittances is ongoing. The emittance exchange beamline consists of a 3.9 GHz normal conducting deflecting mode cavity flanked by two doglegs. Electron bunches with charges of 250 pC and energy of 14.3 MeV are routinely sent through the exchanger. In this paper, we report our latest results on the demonstration of emittance exchange obtained with significantly improved beam diagnostics. We also compare our experimental results with a simple numerical model.

 
THPE044 Design of Injection and Extraction Beamlines for the ALPHA Project 4617
 
  • Y.C. Jing, Y. Kim, S.-Y. Lee
    IUCF, Bloomington, Indiana
 
 

The Advanced eLectron-PHoton fAcility (ALPHA) is under construction to support Crane Naval Center's radiation effect testing program. This paper reports the design of injection and extraction beamlines for the ALPHA and discusses the nonlinear beam spreader which is used to convert transverse Gaussian beam distribution into uniform rectangular beam distribution.

 
THPE046 CesrTA Low Emittance Tuning 4620
 
  • J.P. Shanks, D. L. Rubin, D. Sagan
    CLASSE, Ithaca, New York
 
 

We are developing techniques for measuring and correcting emittance diluting optical and alignment errors in the CesrTA storage ring. Our principle measurement method is to resonantly excite the beam at all three normal mode frequencies and then to extract the amplitude and phase of each mode at all 100 beam position monitors. We reconstruct beta-functions, betatron phase advance, coupling parameters, dispersion, and BPM tilts from the data. A complete characterization including data collection and analysis can be done in a few minutes. To measure the emittance, an x-ray beam size monitor capable of measuring the size of a single bunch on a turn by turn basis provides a real time measure with a resolution on the order of a few microns. This resolution corresponds to a few pm emittance. Our ability to identify alignment and optical errors is limited by systematic measurement errors. We report on the status of our efforts to understand and eliminate systematic errors, the accuracy of our characterization of the machine optics, and our success at reducing sources of emittance dilution.

 
THPE047 Lattice Calibration with Turn-by-turn BPM Data 4623
 
  • X. Huang, J.J. Sebek
    SLAC, Menlo Park, California
 
 

Turn-by-turn beam position monitor (BPM) data from multiple BPMs are fitted with a tracking code to calibrate magnet strengths in similar manner as the well known LOCO code. Simulation shows that this method can be a quick and efficient way for optics calibration. The method is applicable to both linacs and ring accelerators. We also show experimental measurement of the transfer matrix with turn by turn BPM data.

 
THPE050 Real Beam Line Optics from a Synthetic Beam 4629
 
  • R.M. Bodenstein, Y. Roblin, M.G. Tiefenback
    JLAB, Newport News, Virginia
 
 

The Continuous Electron Beam Accelerator Facility (CEBAF) at Jefferson Lab can be described as a series of concatenated beamlines. Methods used to measure the Twiss parameters in closed orbit machines are not applicable in such open ended systems. We are using properly selected sets of real orbits in the accelerator, as one would for numerical analysis. The evolution of these trajectories along the beamline models the behavior of a synthetic beam which deterministically supplements beam profile-based Twiss parameter measurements and optimizes the efficiency of beamline tuning. Examples will be presented alongside a description of the process.

 
THPE051 Magnet Optical and Beam Matching Issues in a Medium Energy Beam Transport line of SNS Linac 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 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.

 
THPE053 Linear and Chromatic Optics Measurements at RHIC 4638
 
  • R. Calaga
    BNL, Upton, Long Island, New York
  • M. Aiba
    PSI-LRF, Villigen, PSI
  • R. Tomás, G. Vanbavinckhove
    CERN, Geneva
 
 

Measurements of chromatic beta-beating were carried out for the first time in the RHIC accelerator during Run 2009. The analysis package developed for the LHC was used to extract the off-momentum optics for injection and top energy. Results from the beam experiments and comparison to the optics model are presented.

 
THPE054 Spin Tune Dependence on Closed Orbit in RHIC 4641
 
  • V. Ptitsyn, M. Bai, T. Roser
    BNL, Upton, Long Island, New York
 
 

Polarized proton beams are accelerated in RHIC to 250 GeV energy with the help of Siberian Snakes. The pair of Siberian Snakes in each RHIC ring holds the design spin tune at 1/2 to avoid polarization loss during acceleration. However, in the presence of closed orbit errors, the actual spin tune can be shifted from the exact 1/2 value. It leads to corresponding shift of locations of higher-order ("Snake") resonances and limits available betatron tune space. The largest closed orbit effect on the spin tune comes from the horizontal orbit angle between the two snakes. During RHIC Run in 2009 dedicated measurements with polarized proton beams were taken to verify the dependence of the spin tune on the local orbits at the Snakes. The experimental results are presented along with the comparison with analytical predictions.

 
THPE055 Linear Optics Measurements and Corrections Using AC Dipole In RHIC 4644
 
  • G. Wang, M. Bai, L. Yang
    BNL, Upton, Long Island, New York
 
 

We report recent experimental results on linear optics measurements and corrections using ac dipole. In RHIC 2009 run, the concept of the SVD correction algorithm is tested at injection energy for both identifying the artificial gradient errors and correcting it using the trim quadrupoles. The measured phase beatings were reduced by 30% and 40% respectively for two dedicated experiments. In RHIC 2010 run, ac dipole is used to measure beta* and chromatic beta function. For the 0.65m beta* lattice, we observed a factor of 3 discrepancy between model and measured chromatic function in the yellow ring.

 
THPE091 Simultaneous Measurement of all Sextupole Offsets using the Response Matrix Fit 4737
 
  • V. Sajaev, A. Xiao
    ANL, Argonne
 
 

APS linear model is defined by the quadrupole and skew quadrupole errors that are determined using the response matrix fit. What was missing until now were the sextupole offsets relative to the beam orbit. At APS the orbit is routinely steered according to user requests, and at some locations the steering has accumulated to rather large values. That is why the usual sextupole changes that are performed during operation mode switches lead to optics and coupling changes. Knowledge of the sextupole offsets would allow us to predict and control those changes. There are a number of ways to measure sextupole offsets but most of them utilize element by element approach. This would take very long time for the 280 sextupoles at APS. Here we describe a method that determines the beam offsets of all sextupoles based on fitted values of local optics and coupling changes at each sextupole. We perform response matrix measurement, fit several lattices with different sextupoles, and derive the sextupole offsets. The results are included in the linear model of the APS storage ring.

 
THPE103 Sorting Chromatic Sectupoles for Second Order Chromaticity Correction in the RHIC 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.