Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

102
Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008

Transcript of Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Page 1: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Calculation of the beam dynamics of

RIKEN AVF CyclotronE.E. Perepelkin

JINR, Dubna

4 March 2008

Page 2: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

General view of the AVF cyclotron

Injection line

ESD

Dee

Magnet sectors

Page 3: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Injection lineLEBT

Page 4: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

LEBT dimensions

Initial emittanceSuperbunch ~ 4000°RF. 10,000

ionsαx = αy = 0, βx = βy = 0.8

mm/mradεx = 115 π.mm.mrad, εy = 98

π.mm.mrad

Buncher

Glazer lens G2

Glazer lens G1

Inflector

Page 5: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher

Page 6: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher parameters

• Buncher voltage Vmax is 150 Volt, (beam energy 52 keV, ECRIS potential is 10.4 kV)

• Gap = 5 mm

0 0 0 0

1 1sin sin 2 sin 3 , 50

3 9V

Page 7: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher model

0.1 mm

0.1 mm 2 m

m

Page 8: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Ez along OZ axis

Groundelectro

de

RFelectro

de

Calculation was performed for the RF potential 1 volt

Page 9: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Z = -2.4 mm from buncher center

Page 10: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Z = -2 mm from buncher center

Page 11: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Z = 0 mm ( buncher center )

Page 12: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Z = 2 mm from buncher center

Page 13: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Z = 2.4 mm from buncher center

Page 14: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Glazer lens G1

Page 15: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

G1 geometry

Maximum excitation 42.9 kA· t

Page 16: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Model and mesh

Symmetry 1/12

More than 4 million finite elements

Maximum excitation 42.9 kA· t

Page 17: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Bmod distribution at the XOZ plane

Page 18: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Bmod on the OZ axis

Bc = 4.033 kGs

Page 19: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Glazer lens G2

Page 20: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

G2 geometry

Maximum excitation 26 kA· t

Page 21: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Bmod distribution at the XOZ plane

Page 22: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Bmod on the OZ axis

Bc = 2.506 kGs

Page 23: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Axial channel

Page 24: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Remarks• Measured axial magnetic field, main coil

current = 650A• The current in the Glazer lens G1 and G2

was maximal• JW(G1) = 42.9 kA• t• JW(G2) = 26 kA• t

• Calculation of the magnetic field for the G1 and G2 was produced without taken into account the main coil field.

Page 25: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Field in the axial channel

Glazer lens G1

Glazer lens G2

Page 26: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Inflector

Page 27: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Inflector parameters

• Particle 14N5+ with energy 52 keV• Gap 8 mm• Cutting 4 mm• No tilt• Electric radius A = 26 mm• Magnetic radius ρ = 16.396 mm• K = 0.8

Page 28: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Opera 3D model and mesh

Cut 4 mm at the inflector entrance and

exitMesh step is about 1

mm

Page 29: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Inflector entrance

Page 30: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Inflector exit

Page 31: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Magnetic and electricmaps area

LEBT

Page 32: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Fields map area

G2 Magnetic

fieldG1

Magnetic field

Buncher Electric

field

Page 33: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Fields map area

Inflector Electric

field

Axial channel Magnetic

field

G1 Magnetic

field

Page 34: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Low beam intensity Test particle 14N5+

Space Charge effects are negligible

Page 35: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Parameters LEBT

• G1 lens: Bc = 4.033 kG

• G2 lens: Bc = 3.007 kG ( 20% up from nominal )

• Injection energy = 45 keV ( 52 keV nominal )

• Buncher voltage = 80 Volt ( 150 V nominal )

Page 36: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher focusing animation

Page 37: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Lenses effect animation

Page 38: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher losses

Ground

RF

Page 39: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Buncher losses

Total buncher losses are 15 %

Page 40: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Monitoring planes

Plane 1Buncher entrance

Plane 2Exit

buncher

Plane 3Begin G2

Plane 4Exit G2

Plane 5Begin G1

Plane 6Exit G1

Plane 726 mm from the median

plane

Page 41: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 1

Page 42: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 2

Page 43: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 3

Page 44: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 4

Page 45: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 5

Page 46: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 6

Page 47: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Plane 7

Page 48: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Nominal regime

Page 49: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Cross - check

Page 50: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central trajectories

Calculated E-map

Analytical E-map

Page 51: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Parameters

Radius, mm 21.6

Θ - azimuth, deg 53.34

ZC - axial position, mm

0

PrC, deg 38.634

PzC, deg 0

Energy, keV 50.9

Gaps

φRF , [deg]

Analytical E-map

φRF , [deg]

Calculated E-map

1 -29 -30

2 -29 -29

3 20 30

4 5 14

Starting parameters for

central trajectory

RF phase at the center of

acceleration gaps

1st turn

UDee = 46.7 kV, B-map – is measured, fRF = 16.3 MHz, Z=5, Mass = 14.

Page 52: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Inflector

Page 53: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central trajectories

Page 54: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Compare trajectories

Parameters TheoryCalculat

ed

Adjusted calculat

ed*

Radius, mm 21.6 20.8 22.1

Θ - azimuth, deg 14.7 16.5 13.7

ZC - axial position, mm

0 -0.04 0.54

PrC, deg 38.619 43.783 38.863

PzC, deg 0 -8.98 -0.93

Energy, keV 52 50.2 51.2* Shift 0.8 mm, slope 4.5

deg

Page 55: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance at the inflector entrance

Page 56: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

X 0 0.05 1 99.5

Y 0 0.05 1 99.5

Z 0 2.1 mm/keV

1 keV/mm 1 π mm ∙keV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

X 0 2.2 0 43

Y 0 2.2 0 43

Z 27 1.5 52 keV 1 keV

Twiss

Statistics

Page 57: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance at the inflector exit

Page 58: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

R 0.8 0.01 195 161

Z -1.2 0.02 131 336

φRF-0.7 20 °RF/keV 0.07 keV/°RF 56 π °RF∙keV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

R 23.1 1.2 617 177

Z 0.3 2.5 -7.5 210

φRF- 33.6 °RF 51.3 keV 2 keV

Twiss

Statistics

Page 59: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Cyclotron

Page 60: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Bunches

Page 61: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central region axial losses

Losses 57%

Page 62: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Radial amplitude

Symmetric B-map

Real B-map

Page 63: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

B-map harmonics

R = 72 cm, Bm2 = 15 Gs

Page 64: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance for real B-map

Center Dee 1 – position, final radius

Page 65: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Symmetric B-map

Center Dee 1 – position, final radius

Page 66: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Flat - Top

Page 67: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Model features

•B-map – measurements•E-map – analytical map•Flat-top system•Voltage radial dependencies

Page 68: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Voltage radial dependencies

2cosC r R

3

1cos cos 3

9DeeU U C r C r

Page 69: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central trajectory parameters

φRF , deg -65

Radius, mm 23.3

Θ - azimuth, deg 64.1

ZC - axial position, mm

0

PrC, deg 38.74

PzC, deg 0

Energy, keV 55.1

• Operational frequency 16.222 MHz, harmonic = 2

• UDee= 50 kV

• m(14N5+) = 14.067

Page 70: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central trajectory

Page 71: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Radial amplitude

Page 72: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Phases and energy

Page 73: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance at the inflector exit

Page 74: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

R 2.2 0 274 104

Z -0.5 0 125 320

φRF-0.2 5.5

°RF/keV0.2 keV/°RF 273 π °RF

∙keV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

R 23.4 1.5 38.75 205

Z 0 1.8 0 200.3

φRF-65 °RF 38.8 °RF 55.1 keV 7.2 keV

Twiss

Statistics

Page 75: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Flat-Top off/on

Page 76: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Axial motion (Flat-Top off/on)

Page 77: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittances (Flat-Top off)

Dee 1 center – azimuth bunch position

Page 78: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittances (Flat-Top on)

Dee 1 center – azimuth bunch position

Page 79: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters (Flat-Top off)

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

R 0 0.5 1.9 268

Z -0.9 2 0.9 42

φRF-0.1 0 °RF/keV 96 keV/°RF 130 π °RF

∙MeV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

R 552 11.8 -14.6 22.7

Z 0 9.4 0 6

φRF- 36.8 °RF 62.7 MeV 3.5 MeV

Twiss

Statistics

Page 80: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters (Flat-Top on)

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

R -1.3 0.9 2.7 63

Z 0.3 1.5 0.7 33.5

φRF0.1 0 °RF/keV 43 keV/°RF 31.6 π °RF

∙MeV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

R 552 7.8 -23.3 13

Z 0 7 0 4.9

φRF- 27 °RF 62.9 MeV 1.17 MeV

Twiss

Statistics

Page 81: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Flat-Top effect

1.5Flat Top

r

r

3Flat Top

E

E

Page 82: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Extraction

Page 83: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Extraction

Analytical ESDE=71 kV/cm

Page 84: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Comparison

By Goto-san

This calculatio

n

Page 85: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Optimization

Page 86: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Main result

Losses from the inflector ground to the

ESD mouth is 35% instead of 60%.

And this result can be improved.

Page 87: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Modification of buncher parameters

• Initial beam energy 45 keV (ECRIS potential 9 kV, instead of 10.4 kV)

• Vmax = 80 Volt (instead of 150 kV)

Page 88: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Modification inflector parameters

• Electrode potential ±3.14 kV or ±3.2 kV

Page 89: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central trajectories

Starting position (x,y,z) = (0,0,36) mm

Injection - strongly axial direction

Energy 45 keV

Parameters TheoryCalculat

ed

Radius, mm 21.067 21.52

Θ - azimuth, deg 53.1 52.4

ZC - axial position, mm

0 2.3

PrC, deg 39.074 42.3

PzC, deg 0 -0.45

Energy, keV 52 46.1

At the inflector exit

Page 90: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Cyclotron

Page 91: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

B map modification• First trim coil• We added the magnetic field to the measurement B-map

Page 92: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Electric field parameters

• Dee voltage 40 kV instead of operational 46.7 kV• RF frequency 16.219 MHz instead of operational 16.3

MHz• No flat-top

Page 93: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

RF phase at the Dee’s centre

For the central trajectory

Page 94: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance at the inflector entrance

Page 95: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

X 0 0.05 1 99.5

Y 0 0.05 1 99.5

Z 0 2.1 mm/keV

1 keV/mm 1.5 π mm ∙keV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

X 0 2.2 0 43

Y 0 2.2 0 43

Z 27 1.5 45 keV 1 keV

Twiss

Statistics

Page 96: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Cyclotron animation

Page 97: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Central region losses

2.7%

4.4% 1.8

%

7.6%

Total axial

15.8%

Total losses 34.7%

Page 98: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Axial motion

Page 99: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

3D view

Page 100: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Emittance at the radius ~66 cm

Center Dee 1 – position, not final radius

Page 101: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Beam parameters

ParametersCoordinates

α βmm/mrad

γmrad/mm

επ∙mm∙mrad

R 0.8 1.2 1.4 33

Z 0.3 1.9 0.6 14

φRF0.6 13.1

deg/MeV0.1 MeV/deg 4.3 π mm

∙MeV

ParametersCoordinates

Average-position

mm

2σ-deviation

mm

Average-anglemrad

2σ-anglemrad

R 659 5.6 34.6 6.3

Z 0.2 5.2 1.2 2.9

φRF- 7.5 88.12 MeV 0.7 MeV

Twiss

Statistics

Page 102: Calculation of the beam dynamics of RIKEN AVF Cyclotron E.E. Perepelkin JINR, Dubna 4 March 2008.

Future activities

• Decrease axial losses by the inflector axial shift on 2.3 mm

• Optimization of the inflector cutting• Implementation of the beam centering procedure• Assessment of the modified central electrode

structure• Extraction study for the completed deflector

model

Last but not the least:It would be advisable to performer an experimental

checking of simulation results obtained so far.