d. raparia2005/01/27-28 mac review ebis injector linac optics i i d.raparia ebis review...

D. Raparia 2005/01/27-28MAC Review

EBIS Injector Linac Optics I ID.Raparia

EBIS Review 2005/01/27-28

•HEBT•Booster Injection


AcknowledgementsContributors:J. Alessi, E. Beebe, S. Pikin, A. Kponou, J. Ritter, C. Gardner, S. Y. Zhang, T. Roser


Requirement for HEBT-Transport beam to Booster -Mismatch beam into Booster to avoid scraping at inflector and to reduce incoherent tune spread in the Booster. -Minimize energy spread at the injection, dp/p = ±0.05%, -Provide ion charge state discrimination-Diagnostics: Current Monitor (2), Multiwire/Faraday cup (3), Fast Faraday cup Twiss parameters at beginning and end of the HEBTParameters End of IH Linac Entrance of Booster Units

X 2.1 -1.87

X 3.0 2.5 mm/mrad

X (5* rms,unnorm) 11.0 11.0 mm mrad

Y -1.59 0.8

Y 3.45 4.8 mm/mrad

Y (5* rms,unnorm) 10.2 10.2 mm mrad

E (for 5* rms Z ) 20 1.8 keV/u (Au+32)

E (for 5* rms Z ) 9.4 3.7 keV/u (He+2)


Layout in the Linac Lower Equipment Bay

Bunchers

Quads


Optics of the Transport line to the BoosterAu 32+

25.000 mm X 10.000 mrad

90.000 Deg X 4000.00 keV

25.000 mm X 10.000 mrad

180.000 Deg X 4000.00 keV NP2= 49

50.00 mm (Horiz) 180.0 Deg (Long.)

50.00 mm (Vert)

NP1= 1

20.00 mm (Centroid)

-20.00 mm (Centroid) Length= 40121.44mm

1 2 Q 3 G

4

5 Q 6

7

8 Q 9

10

11 Q 12 G

13

14 Q 15

16

17 Q 18

19

20 21 22 G 23 24

25

26 27

28

29 Q 30

31

32 E

33 34 E 35 36 Q 37 38 Q 39 40 Q 41 42 E

43 44 E

45

46 47 48

49

H A= 2.1000 B= 3.0000 V A= -1.5900 B= 3.4500

Z A= 0.70000 B= 3.00000E-02

BEAM AT NEL1= 1 H A= -1.8700 B= 2.5000 V A= 0.86997 B= 4.8001

Z A= 4.12401E-02 B= 0.27199

BEAM AT NEL2= 49 I= 3.1mA W= 409.9000 409.9000 MeV

FREQ= 100.28MHz WL=2989.55mm EMITI= 11.000 10.280 35000.00 EMITO= 11.944 10.280 35751.29

N1= 1 N2= 49 PRINTOUT VALUES PP PE VALUE 1 2 -4.00000 1 5 2.00000 1 8 0.06926 1 11 -0.60000 1 12 0.00000 1 14 -0.93664 1 17 1.08719 1 29 0.44712 1 38 -1.37950 1 33 -73.50000 1 43 -73.50000 MATCHING TYPE = 8

DESIRED VALUES (BEAMF) alpha beta x -1.8700 2.5000 y 0.8700 4.8000 MATCH VARIABLES (NC=4) MPP MPE VALUE 1 38 -1.37950 1 29 0.44712 1 17 1.08719 1 14 -0.93664

CODE: TRACE3D v67LY FILE: D:\ebisreview\ebis_hebt_050118a.t3d DATE: 01/19/2005 TIME: 11:03:07

Phi= 0.0deg, W=409.900MeV DP= 98.61deg, DW= 362.86keV, DZ= 54.65mm, DP/P= 0.443mrad, Ez= 24.19pi-mm-mrad

Quad# G T/m1 4.02 2.03 0.64 0.65 1.06 1.07 0.48 1.5

Buncher V kV1 02 33

x

y

Wall


Optics of the Transport line to the Booster4He+2

25.000 mm X 10.000 mrad

90.000 Deg X 100.00 keV

25.000 mm X 10.000 mrad

180.000 Deg X 100.00 keV NP2= 49


50.00 mm (Vert)

NP1= 1

20.00 mm (Centroid)


1 2 Q 3 G

4

5 Q 6

7

8 Q 9 G

10

11 Q 12 G

13

14 Q 15

16

17 Q 18

19

20 21 22 G 23 24

25

26 27

28

29 Q 30

31

32 E

33 34 E 35 36 Q 37 38 Q 39 40 Q 41 42 E

43 44 E

45

46 47 48

49

H A= 1.6000 B= 3.0000 V A= 0.28000 B= 3.5000

Z A= 0.70000 B= 1.2300

BEAM AT NEL1= 1 H A= -1.8700 B= 2.5000 V A= 0.86999 B= 4.8000

Z A= 9.45602E-07 B= 7.5000



N1= 1 N2= 49 PRINTOUT VALUES PP PE VALUE 1 2 -0.90000 1 5 0.66000 1 8 -0.77405 1 9 0.01640 1 11 0.67954 1 12 0.00000 1 14 -0.43032 1 17 -0.04386 1 29 0.40728 1 38 -0.69250 1 43 -73.50000 1 22 0.01502 MATCHING TYPE = 9

DESIRED VALUES (BEAMF) alpha beta x -1.8700 2.5000 y 0.8700 4.8000 z 0.0000 7.5000 MATCH VARIABLES (NC=6) MPP MPE VALUE 1 17 -0.04386 1 14 -0.43032 1 11 0.67954 1 8 -0.77405 1 9 0.01640 1 22 0.01502

CODE: TRACE3D v67LY FILE: ebis_hebt_050118he4_9ma.t3d DATE: 01/26/2005 TIME: 05:17:16

Phi= 0.0deg, W= 8.000MeV DP=109.55deg, DW= 14.61keV, DZ= 59.44mm, DP/P= 0.914mrad, Ez= 54.32pi-mm-mrad

Quad# G T/m1 0.92 0.73 0.84 0.75 0.46 0.17 0.48 0.7

Buncher V kV1 172 15

y

x


Beam Envelope for Au+31

25.000 mm X 10.000 mrad

90.000 Deg X 4000.00 keV

25.000 mm X 50.000 mrad

180.000 Deg X 4000.00 keV NP2= 49


200.00 mm (Vert)

NP1= 1

20.00 mm (Centroid)


1 2 Q 3 G

4

5 Q 6

7

8 Q 9

10

11 Q 12 G

13

14 Q 15

16

17 Q 18

19

20 21 22 G 23 24

25

26 27

28

29 Q 30

31

32 E

33 34 E 35 36 Q 37 38 Q 39 40 Q 41 42 E

43 44 E

45

46 47 48

49

H A= 1.0000 B= 0.60000 V A= 2.00000E-02 B= 1.4000

Z A= -5.2100 B= 1.45000E-02

BEAM AT NEL1= 1 H A= 7.94848E-02 B= 1.8818 V A= -2.5963 B= 15.343

Z A= 16.949 B= 3.5792


FREQ= 100.28MHz WL=2989.55mm EMITI= 41.000 31.000 90720.00 EMITO= 72.776 31.000126979.45

N1= 1 N2= 49 PRINTOUT VALUES PP PE VALUE 1 2 -2.00000 1 5 1.50000 1 8 -1.55806 1 11 1.18069 1 12 0.00000 1 14 -1.46970 1 17 1.26385 1 29 -0.71687 1 38 4.50000 1 33 -73.50000 1 43 -73.50000 MATCHING TYPE = 8

DESIRED VALUES (BEAMF) alpha beta x -1.7272 11.0077 y 0.8216 4.8321 MATCH VARIABLES (NC=4) MPP MPE VALUE 1 29 -0.71687 1 14 -1.46970 1 11 1.18069 1 8 -1.55806

CODE: TRACE3D v67LY FILE: ebis_hebt_050109a.t3d DATE: 01/13/2005 TIME: 15:12:59

Phi= 0.0deg, W=409.900MeV DP=674.15deg, DW= 3197.90keV, DZ= 373.60mm, DP/P= 3.905mrad, Ez= 85.93pi-mm-mrad

Most of the loss here


Charge Discrimination

25.000 mm X 10.000 mrad

30.000 Deg X 4000.00 keV

25.000 mm X 50.000 mrad

180.000 Deg X 4000.00 keV NP2= 44


50.00 mm (Vert)

NP1= 32

100.00 mm (Centroid Scale)

-100.00 mm (Centroid Scale) Length= 4287.21mm

32 E

33 34 E

35

36 Q

37

38 Q

39

40 Q

41

42 E

43 44 E

+

H A= 5.20469E-02 B= 3.1721

*

V A= 2.9133 B= 52.121

*

Z A=-0.76940 B= 0.36752

BEAM AT NEL1= 32

+ +

+ ++ +

+ ++ ++ ++ +

+

H A=-0.39900 B= 0.98698

*

V A= -12.110 B= 40.552

*

Z A=-0.44032 B= 0.36365




DESIRED VALUES (BEAMF) alpha beta x -1.7272 11.0077 y 0.8216 4.8321 MATCH VARIABLES (NC=4) MPP MPE VALUE 1 17 1.29062 1 14 -1.41938 1 11 1.16313 1 8 -1.67198

CODE: TRACE3D v67LY FILE: ebis_hebt_050109.t3d DATE: 01/14/2005 TIME: 14:46:38

25.000 mm X 10.000 mrad

30.000 Deg X 4000.00 keV

25.000 mm X 50.000 mrad

180.000 Deg X 4000.00 keV NP2= 44


50.00 mm (Vert)

NP1= 32

100.00 mm (Centroid Scale)

-100.00 mm (Centroid Scale) Length= 4287.21mm

32 E

33 34 E

35

36 Q

37

38 Q

39

40 Q

41

42 E

43 44 E

+

H A= 5.20469E-02 B= 3.1721

*

V A= 2.9133 B= 52.121

*

Z A=-0.76940 B= 0.36752

BEAM AT NEL1= 32

+ +

+ ++ +

+ ++ ++ ++ +

+

H A=-0.39900 B= 0.98698

*

V A= -12.110 B= 40.552

*

Z A=-0.44032 B= 0.36365




DESIRED VALUES (BEAMF) alpha beta x -1.7272 11.0077 y 0.8216 4.8321 MATCH VARIABLES (NC=4) MPP MPE VALUE 1 17 1.29062 1 14 -1.41938 1 11 1.16313 1 8 -1.67198

CODE: TRACE3D v67LY FILE: ebis_hebt_050109.t3d DATE: 01/14/2005 TIME: 14:46:42

Au+31

Dipole Dipolex

y

Q


Booster Injection-Transverse: -For 1-4 turn injection, the calculate incoherent tune spread (for emittance of 0.7 pi mm mrad) is 0.62 to .16 without any emittance dilution. -Present 40 turn injection from tandem result 3 and 6 mm mrad or 4 and 8 times larger

-Mismatch and/or off center (smoke ring) to dilute the emittance

-Booster acceptance (VXH)=70X 225 mm mrad, (4.5 X15 Norm)

-Longitudinal: -Simulation result show EBIS injected will have emittance of 0.05 eVs/u or lower (present 0.05 eVs/u)

-Longitudinal microwave instability: Keil-Schnell criteria requires for trans. emit. of 0.7 mm mad and energy of 2 MeV/u should have dp/p >0.0012% which is satisfied by EBIS beam (dp/p = ±0.05%, )


Booster Injection

Mountain range of 4 EBIS capture schemes

-Cases B & D has low losses and lower emittance

Longitudinal Phase spaces after beamcapture for 4 schemes


Inflector Aperture• Inflector gap is 17 mm and 2.2 meter long => Geometric acceptance 29 mm mrad, H=-1.87, H=2.5m

• Lattice function at exit of inflector are H=-1.72, H=11m, X=-2.4 m

• Full beam size =22.1 mm for matched injection

• Mismatch emittance dilution factor is

•Linac emittance of 0.7(norm) will result in 5 mm mrad

•Incoherent tune shift 0.08•Booster acceptance (VXH) 4.5 X 15 mm mrad (N)

290 )(22

ppa xH

1.7221

2

2

mimiimm

i

m

i

m

x

xxm

mm

Matched off center

Matched

Mismatch

Booster Accpt


Electron Capture

0.5 1 1.5 2 2.5 3 3.5 4-21

-20

-19

-18

-17

-16

-15

MeV/u

Log

of c

ross

sec

tion,

cm

2

Electron Capture and Ionization Cross Sections, Au32+

Capture

Ionization

At 2 MeV/u, electron capture cross section reduced by factor of 40 relative to tandem.


Booster ParametersN =5 mm mrad Vinfl= (G/R)*(Mc2/Q)*2

NfABNQr

inc 2

0

23

Z A Q Ions/pulse Charges/pul d(nu) Brho Inflector(Bstr input) EBIS V (kV)

p 1 1 1 0.2049 7.691051He3 2 3 2 2.14E+11 4.28E+11 -1.60 0.3073 11.53658D 1 2 1 2.50E+11 2.50E+11 -0.70 0.4097 15.3821C 6 12 6 2.85E+10 1.71E+11 -0.48 0.4097 15.3821O 8 16 8 1.60E+10 1.28E+11 -0.36 0.4097 15.3821Si 14 28 12 7.13E+09 8.55E+10 -0.21 0.4780 17.94579Fe 26 56 16 5.34E+09 8.55E+10 -0.14 0.7170 26.91868Au 79 197 32 2.67E+09 8.55E+10 -0.08 1.2612 47.34803

Note – maximum desired Booster emittance N = 10 mm mrad


Emittances

Vertical mm mrad (N, 95%)

Horizontal mm mrad (N, 95%)

Booster* 4.5 10.0Linac 1.4 1.4

Source 0.7 0.7

Note: Booster acceptance (VXH) 4.5 X 15 mm mrad (N,95%)

*mismatch injection


CONCLUSION

Will use proven technologies for, RFQ, and IH structure.

Preliminary study suggests this linac will satisfy all (transverse and longitudinal) requirement for Booster Injection.

d. raparia2005/01/27-28 mac review ebis injector linac optics i i d.raparia ebis review...

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