BEAM POSITION MONITOR AND ENERGY ANALYSIS

Transcription

1 PROJECT BEAM POSITION MONITOR AND ENERGY ANALYSIS MEPAS SCHOOL 2015 DATE 16-NOV. STUDENT JUAREZ LOPEZ

2 2 TALKING POINTS Motivation Introduction to FAST Facility Accelerator Beam Lattice Theory Measurements and Simulations Conclusions

3 MOTIVATION 3

4 4 Medicine Magnetic resonance imaging Cancer therapy Diagnostic instrumentation Industry Power transmission Transportation Biomedicine Computing The World Wide Web The Grid

5 Food sterilization Medical isotope production Simulation of cancer treatments Reliability testing of nuclear weapons Scanning of shipping containers Proposed combination of PET and MRI imaging Improved sound quality in archival recordings Parallel computing Ion implantation for strengthening materials Curing of epoxies and plastics Data mining and simulation International relations Nuclear waste transmutation Remote operation of complex facilities 5

6 BIZARRE APPLICATIONS WHY VAN GOGH S SUNFLOWERS ARE WILTING VAN GOGH S PIGMENT UP CLOSE: PLUMBONACRITE REVEALED AS INTERMEDIATE IN DEGRADATION OF RED LEAD 6 X-RAY EXAMINATION SHOWS HOW CHROME YELLOW DARKENS

7 INTRODUCTION TO FERMILAB ACCELERATOR SCIENCE AND TECHNOLOGY 7

8 WHERE IS FERMILAB? - 50KM FROM CHICAGO 8

9 WHERE IS FERMILAB? - 50KM FROM CHICAGO 9

10 OVERVIEW OF FAST FACILITY 10

11 NML BUILDING 11

12 FAST: WHAT IS IT? The Fermilab Accelerator Science and Technology (FAST) program is based on the capability provided by an SRF linac (which provide electron beams from 50 MeV to nearly 1 GeV) and a small storage ring to enable a broad range of beam-based experiments to study fundamental limitations to beam intensity and to develop transformative approaches to particle-beam generation 12

13 WHAT DO WE GOING TO DO: Measure the gun energy 13

14 14 ACCELERATOR BEAM LATTICE

15 ACCELERATOR LATTICE 15

16 ACCELERATOR LATTICE PHOTOELECTRIC EFFECT B = G L_eff = m Current of 3 A Angle of 22.5º 16 Lattice-Red-Infrestructura- Componentes REFERENCE: CONCEPTUAL PHYSICS - P. HEWITT 10ED.

17 ACCELERATOR LATTICE B = G L_eff = m Current of 3 A Angle of 22.5º 17 Lattice-Red-Infrestructura- Componentes

18 BEAM POSITION MONITOR Button Style BPM V(b1,b2,b3,b4) P(x,y) Design Resolution of 50 μm 18 Calibration Factors

19 BEAM POSITION MONITOR BUTTON STYLE x = x 0 (b 4 b 3 )+(b 2 b 1 ) i b i y = y 0 (b 3 b 1 )+(b 4 b 2 ) i b i 19 Four Button electrodes Arranged symmetrically under 45º Design Resolution of 50 μm SOME OF THE PICKUP NON-LINEARITIES ARE TAKEN INTO ACCOUNT BY APPLYING A 5 TH ORDER POLYNOMIAL TO FIT THE CALCULATED EQUIPOTENTIALS. Calibration Factors Proceedings of DIPAC09, Basel, Switzerland MOPD19 HIGH RESOLUTION BPMS WITH INTEGRATED GAIN CORRECTION SYSTEM

20 THEORY 20

21 From Lorentz F = q E + 1c v B F = dp dt = e c (v B) Integrating and substituting v=r/t p = e c Br 21

22 For a rectangular magnet l arc = r = l eff sin The field integral along the trajectory inside the dipole Z B ds = B l arc The energy for an ultra-relativistic particle E = cp E = e B sin l eff 0 < < /2 22 Mass in repose

23 Ê1 Ê2 P 1 =(X 1,Y 1,Z 1 ) P 2 =(X 2,Y 2,Z 2 ) P 3 =(X 3,Y 3,Z 3 ) P 4 =(X 4,Y 4,Z 4 ) Ê 1 Ê2 = Ê1 Ê2 sin î! 1 Ê 1 E = e Ê2 B l eff Ê1 Ê2 23

24 MEASUREMENTS AND CALCULATIONS 24

25 FROM THE DATA TOOK ON 1 MAY

26 FROM THE DATA TOOK ON 1 MAY 2015 Sigma = a = e-07, b = e-05, c = e-03, d = e-02, e = e Comparar -> Simulation

27 SIMULATING ERRORS ON THE BPMS ACCELERATOR LATTICE Making an error σ=50µm P1 =[x1 ± 1,y1 ± 1,z1] P2 =[x2 ± 2,y2 ± 2,z2] P3 =[x3 ± 3,y3 ± 3,z3] P4 =[x4 ± 4,y4 ± 4,z4] Making errors with Normally-Distribution Random Numbers Calculate the Bending Angle Residuals Histogram Compute the residuals Make a histograms and fit a Gaussian 27

28 BPM ERROR USING NORMALLY-DISTRIBUTION RANDOM NUMBERS BPM1 BPM2 BPMs BPM3 BPM4 28 Standard Deviation

29 VARIATING THE BPM RESOLUTION 29

30 VARIATING THE BPM RESOLUTION DATA BPM DESIGN RESOLUTION BPM ACTUAL RESOLUTION 30

31 ENERGY OF THE BEAM A = b = y = A e-( x-b )^2/2c

32 ENERGY OF THE BEAM A = b = E Total = E Gun sin + E CC2 32

33 ENERGY OF THE BEAM A = b = E Total = E Gun sin + E CC2 33

34 CONCLUSIONS 34

35 CONCLUSIONS: We measured the read-back from the BPMs and we calculated the bending angle in function of the gun phase, did a curve fit and calculated the residuals to get the standard deviation. We did a simulation to compute the bending angle with and without an error created with normally-distribution random numbers and calculated the residuals to get the standard deviation. We compared the standard deviations between the data and the simulation the get the actual BPMs resolution, that is 80µm rather than the design resolution that is 50µm We calculate the Total energy = ± MeV the Gun energy = ± MeV and the CC2 energy = ± MeV 35

36 QUESTIONS 36

37 37