The Mathematical Modeling of New Operation Modes of Multi–purpose Isochronous Cyclotrons

Authors: I.V.Amirhanov, G.A.Karamysheva, I.N. KiyanJoint Institute for Nuclear Research (JINR), Dubna Authors: J.Sulikowski, Employees of DC INP PASThe Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences, Krakow

AIC-144

AIC-144 PARAMETER VALUE

Magnet Leg Diameter 144cm

Magnetic Structure 4 spiral sectors with angel from 45º to 54º

Magnetic Field 8,5 ÷ 18 kGs

Main Coil Current 0 ÷ 650 A

Number of Trim Coils 20

Number of Harmonic Coils 4

Trim Coil Current ± 400 A

Number of Dees                                  1 (α = 180°)

R.F. Generator Frequency                  10 ÷ 27 MHz

R.F. Generator Power                        120 kW

Dee voltage                                       65 kV

Ion beam extraction system - method of the precession of orbits

4 harmonic coils, 3 electrostatic deflectors, 2 passive and 1 active magnetic channels

Effective Extraction Factor to 70%.

Ion Source Internal, PIG type

Magnetic structure

Trim and harmonic coils

The Mathematical Modeling of the AIC-144 Main Operation Mode

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.714000

15000

16000

17000

18000

19000

Bm

ea

n (

Gs)

R (m)

Bis Bmn

Imain coil = 570 (A)

Rwork = 56 (cm)

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

The Mathematical Modeling of the AIC-144 Main Operation Mode

*232

*3

**3

*1*

*3

*23*

2**3

*1

**

**3

**3

*2*32

112

1

1

2

1

z****

r*

*r

***

z****

r*

*z*

*r*

**

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z***

r

****z

***

EzKKEzrKEzrKE

BrBrE

Kz

EzKErKr

KErK

E

Br

rB

r

z

E

K

r

r

ErzKErrKErKKE

BzE

KrB

E

Kr

The Mathematical Modeling of the AIC-144 Main Operation Mode

003

0

0

2

22

02

1

ˆˆ

ˆ

ˆ

2

ˆ2

LEqK

L

E

F

HcqK

BF

HcqK

rf

rf

TB 1ˆ0

m

VE 1ˆ0 mL 1ˆ

0

rad1ˆ0 sF

HT

rf

20̂

Mode Calculation

Mode Calculation

The Numerical and Physical Experiments

0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60-0.0005

-0.0004

-0.0003

-0.0002

-0.0001

0.0000

0.0001

0.0002

0.0003

0.0004

0.0005

Main Operation Mode AIC-144on 22 April 2011ProtonFrf = 26.155 MHzUduant = 60 kVImc = 577.23 ARbump = 0.155 m; Rwork = 0.56 m; Redge = 0.595 m;Rext = 0.62 m; Rseptum = 0.628 m

Sig

ma

B

Rmean (m)

SigmaB

The Numerical and Physical Experiments

0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60-0.0005

-0.0004

-0.0003

-0.0002

-0.0001

0.0000

0.0001

0.0002

0.0003

0.0004

0.0005

Main Operation Mode AIC-144on 22 April 2011ProtonFrf = 26.155 MHzUduant = 60 kVImc = 577.23 ARbump = 0.155 m; Rwork = 0.56 m; Redge = 0.595 m;Rext = 0.62 m; Rseptum = 0.628 m

Sig

ma

F0

Rmean (m)

SigmaF0

The Numerical and Physical Experiments

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70

50

100

150

200

250

300

350

400

450

500

550

600

650Main Operation Mode AIC-144on 22 April 2011ProtonFrf = 26.155 MHzUduant = 60 kVImc = 577.23 ARbump = 0.155 mRwork = 0.56 mRedge = 0.595 mRext = 0.62 mRseptum = 0.628 m

IbeamIb

ea

m (

nA

)

R (m)

Rbump

Rext

Rseptum

Redge

Rwork

The Numerical and Physical Experiments

576.4 576.8 577.2 577.6 578.0 578.4 578.8-0.25

0.00

0.25

0.50

0.75

1.00

1.25

1.50

1.75

2.00

2.25 Main Operation Mode AIC-144 on 22 April 2011

ProtonFrf = 26.155 MHzUduant = 60 kVRdeflector = 0.628 m

I bea

m, e

xtra

cted

, nA

Imain coil, A

I beam, extracted

Conclusion

On the basis of the results of computer modeling executed by means of Cyclotron Operator Help Program Complex for the AIC-144 main operation mode, in June, 2009 the beam of protons with kinetic energy of extraction Ek ~ 60 МэВ has been successfully accelerated and extracted.

The extracted beam of the accelerated ions has been used for the successful proton therapy of melanoma of eye at first nine patients which has been executed in the INP of PAS, in February-April, 2011.

The researches of beam dynamics of accelerated ions will be continued on the basis of use of the measured maps of magnetic fields with the account of high-frequency electric field.

Thank You for Attention!