Monday Week 1 Lecture Jeff Eldred

Slides:



Advertisements
Similar presentations
Eric Prebys, FNAL. USPAS, Knoxville, TN, Jan , 2014 Lecture 16 -Negative Mass Instability 2 Consider two particles in a bunch. Below transition.
Advertisements

Measurements of adiabatic dual rf capture in the SIS 18 O. Chorniy.
Linear Collider Bunch Compressors Andy Wolski Lawrence Berkeley National Laboratory USPAS Santa Barbara, June 2003.
Longitudinal motion: The basic synchrotron equations. What is Transition ? RF systems. Motion of low & high energy particles. Acceleration. What are Adiabatic.
Longitudinal instabilities: Single bunch longitudinal instabilities Multi bunch longitudinal instabilities Different modes Bunch lengthening Rende Steerenberg.
ALPHA Storage Ring Indiana University Xiaoying Pang.
Paul Derwent 30 Nov 00 1 The Fermilab Accelerator Complex o Series of presentations  Overview of FNAL Accelerator Complex  Antiprotons: Stochastic Cooling.
Numerical Methods of Longitudinal Beam Dynamics
Introduction to Particle Accelerators Professor Emmanuel Tsesmelis CERN & University of Oxford October 2010 Chulalongkorn University Bangkok, Thailand.
Eric Prebys, FNAL.  We consider motion of particles either through a linear structure or in a circular ring USPAS, Knoxville, TN, Jan , 2014 Lecture.
Eric Prebys, FNAL.  As you’ll show in homework, the synchrotron tune (longitudinal oscillations/turn) is generally
Topic Three: Perturbations & Nonlinear Dynamics UW Spring 2008 Accelerator Physics J. J. Bisognano 1 Accelerator Physics Topic III Perturbations and Nonlinear.
NON-SCALING FFAGs: questions needing answers Andy Wolski The Cockcroft Institute, and the University of Liverpool Department of Physics. BASROC-CONFORM.
1 Status of EMMA Shinji Machida CCLRC/RAL/ASTeC 23 April, ffag/machida_ ppt & pdf.
Proton Driver: Status and Plans C.R. Prior ASTeC Intense Beams Group, Rutherford Appleton Laboratory.
Update of 3.2 km ILC DR design (DMC3) Dou Wang, Jie Gao, Gang Xu, Yiwei Wang (IHEP) IWLC2010 Monday 18 October - Friday 22 October 2010 Geneva, Switzerland.
Advanced Accelerator Design/Development Proton Accelerator Research and Development at RAL Shinji Machida ASTeC/STFC/RAL 24 March 2011.
Bunched-Beam Phase Rotation and FFAG -Factory Injection David Neuffer Fermilab.
Acceleration System Comparisons S. Machida ASTeC/RAL September, 2005, ISS meeting at CERN.
1 FFAG Role as Muon Accelerators Shinji Machida ASTeC/STFC/RAL 15 November, /machida/doc/othertalks/machida_ pdf/machida/doc/othertalks/machida_ pdf.
Double RF system at IUCF Shaoheng Wang 06/15/04. Contents 1.Introduction of Double RF System 2.Phase modulation  Single cavity case  Double cavity case.
Part III Commissioning. Proof of Principle FFAG (POP) study The world first proton FFAG –Commissioned in March –From 50 keV to 500 keV in 1ms. –Proof.
Effect of nonlinearity on Head-Tail instability 3/18/04.
Lecture 25 - E. Wilson - 12/15/ Slide 1 Lecture 6 ACCELERATOR PHYSICS HT E. J. N. Wilson
Overview of Booster PIP II upgrades and plans C.Y. Tan for Proton Source group PIP II Collaboration Meeting 03 June 2014.
Lecture 7 - E. Wilson - 2/16/ Slide 1 Lecture 7 - Circulating Beams and Imperfections ACCELERATOR PHYSICS MT 2009 E. J. N. Wilson.
Crossing transition at RHIC V.Ptitsyn, N.Abreu, M. Brennan, M.Blaskiewicz, W. Fischer, C. Montag, R. Lee, S.Tepikian.
Chapter 10 Rüdiger Schmidt (CERN) – Darmstadt TU , version E 2.4 Acceleration and longitudinal phase space.
High Intensity Booster Operations William Pellico PIP II collaboration Nov. 9 th 2015.
Eric Prebys, FNAL.  We consider motion of particles either through a linear structure or in a circular ring USPAS, Hampton, VA, Jan , 2015 Longitudinal.
Early Beam Injection Scheme for the Fermilab Booster: A Path for Intensity Upgrade Chandra Bhat Fermi National Accelerator Laboratory DPF2015, ANN ARBOR,
INTENSITY LIMITATIONS IN THE LHC INJECTORS Discussion on Landau damping Ibon Santiago González Summer Student Session 2007.
LER Workshop, Oct 11, 2006Intensity Increase in the LER – T. Sen1 LHC Accelerator Research Program bnl-fnal-lbnl-slac  Motivation  Slip stacking in the.
Bunched-Beam Phase Rotation - Ring Coolers? - FFAGs? David Neuffer Fermilab.
Lecture 4 Longitudinal Dynamics I Professor Emmanuel Tsesmelis Directorate Office, CERN Department of Physics, University of Oxford ACAS School for Accelerator.
Integrable Optics Test Accelerator (IOTA) physics goals S. Nagaitsev (FNAL) February 23, 2012.
1 Monday Week 1 Lecture Jeff Eldred Longitudinal Dynamics, RF manipulations.
Professor Philip Burrows John Adams Institute for Accelerator Science Oxford University ACAS School for Accelerator Physics January 2014 Longitudinal Dynamics.
Lecture 5 - E. Wilson - 6/29/ Slide 1 Lecture 5 ACCELERATOR PHYSICS MT 2014 E. J. N. Wilson.
2 Report at HEAC 1971 CBX layout (1962) 1965, Priceton-Stanford CBX: First mention of an 8-pole magnet Observed vertical resistive wall instability With.
Collective Effect II Giuliano Franchetti, GSI CERN Accelerator – School Prague 11/9/14G. Franchetti1.
Lecture 8 - Circulating Beams and Imperfections
Longitudinal Dynamics of Charged Particle
Academic Training Lecture 2 : Beam Dynamics
Jeffrey Eldred, Sasha Valishev AAC Workshop 2016
Jeffrey Eldred, Sasha Valishev
Review Lecture Jeffrey Eldred Classical Mechanics and Electromagnetism
Overview Multi Bunch Beam Dynamics at XFEL
1 Thursday Week 2 Lecture Jeff Eldred Review
Lecture 6 ACCELERATOR PHYSICS MT 2011 E. J. N. Wilson.
Tuesday Week 1 Lecture Jeff Eldred Generating Functions, Action-Angle
Review of Accelerator Physics Concepts
Wednesday Week 2 Lecture
Longitudinal Dynamics & RF Capture
Lecture 6 ACCELERATOR PHYSICS MT 2015 E. J. N. Wilson.
Thursday Week 1 Lecture Jeff Eldred Nonlinear Sextupole Resonance 1 1
Nonlinear Accelerator Resonances
Lecture 7 - Circulating Beams and Imperfections
Electron Rings Eduard Pozdeyev.
PHY 554 Fundamentals of Accelerator Physics Lecture 12: Longitudinal Dynamics October 10, 2018 Vladimir N. Litvinenko
G. A. Krafft Jefferson Lab Old Dominion University Lecture 8
Lecture 6 ACCELERATOR PHYSICS HT E. J. N. Wilson
Accelerator Physics G. A. Krafft, A. Bogacz, and H. Sayed
Accelerator Physics Coupling Control
Physics 417/517 Introduction to Particle Accelerator Physics
Lecture 5 ACCELERATOR PHYSICS MT 2009 E. J. N. Wilson.
Lecture 5 ACCELERATOR PHYSICS MT 2015 E. J. N. Wilson.
Robinson Instability Criteria for MEIC e Ring
Status of Proton & Deuteron Spin Tracking in Racetrack Booster
Lecture 8 ACCELERATOR PHYSICS HT E. J. N. Wilson.
Presentation transcript:

Monday Week 1 Lecture Jeff Eldred Longitudinal Dynamics, RF manipulations 1 1 1 1 1

Jeffrey Eldred (TA) Kilean Hwang (grader) 2 Jeffrey Eldred (TA) Graduated with PhD December 2015 Indiana University working with Shyh-Yuan Lee Worked at Fermilab on PIP-II upgrade Slip-stacking and Electron Cloud. Postdoc at Fermilab on IOTA experiment Nonlinear transverse dynamics, Landau damping, space-charge compensation, modern ring-design Kilean Hwang (grader) Graduating with PhD this semester Indiana University working with Shyh-Yuan Lee Dipole fringe fields Electrostatic storage rings using EDM. 2 2 2 2

Overview RF Cavities Longitudinal Dynamics RF bucket phase-space 3 Overview RF Cavities Longitudinal Dynamics RF bucket phase-space RF acceleration Other RF dynamics 3 3 3 3 3

Longitudinal Motion of 4 Longitudinal Motion of Particle Beams 4 4 4 4 4

Credit: FNAL Rookie Book 5 5 5

Numerically Calc. Eigenmodes Credit: University of Rostock 6 6 6

Credit: Q. Wu, S. Belomestnykh W. Xu 7 7 7

Energy in one pass through cavity 8 8 8

Change in Momentum Fractional Momentum: RF Acc. Per Pass: Change Momentum per unit time: Sinesoidal potential: 9 9 9 9

Phase-Slip Factor η The arrival time of the particle depends on the momentum: Higher momentum particles may arrive earlier or later than lower momentum particles: We can write the change in phase per unit time using the phase-slip factor: 10 10 10 10

Longitudinal Focusing 11 11 11 11

Phase-space Motion 12 12 12 12

Hamiltonian & Separatrix Stable Phase-space Area: 13 13 13 13

14 Perturbation of Synchrotron Motion 14 14 14 14 14

Stable Beams 15 15 15 15

Perturbation of Stable Beams 16 16 16 16

Slipping Beams 17 17 17 17

Perturbation of Slipping Beams 18 18 18 18

19 Accelerating Buckets 19 19 19 19 19

RF Acceleration A fixed frequency beam longitudinally focuses the beam into a several beam “bunches” in individual RF “buckets”. Particles in the bucket can be accelerated by adiabatically changing the RF frequency, the other particles are lost. 20 20 20 20

Credit: X. Kang SY. Lee 21 21 21 21

15 30 45 22 22 22 22

Stable Phase-space Area as a function of φs 23 23 23 23

Longitudinal RF Dynamics 24 Other Examples of Longitudinal RF Dynamics 24 24 24 24 24

25 Transition Crossing 25 25 25 25 25

Phase-Focusing & Acceleration 26 26 26 26

Phase-space at Transition 27 27 27 27

RF + Harmonic RF Cavities 28 RF + Harmonic RF Cavities 28 28 28 28 28

Harmonic RF 2nd Harmonic RF: In general you could imagine: 29 29 29 29

Harmonic RF for H- injection Credit: JPARC 30 30 30 30

Harmonic RF for Ph-Sp Dilution Credit: A. Pham 31 31 31 31

32 Bunch Rotation by Quadrupole Resonance 32 32 32 32 32

33 33 33 33

34 Credit: X. Yang 34 34 34