RCS simulation現状 と 今後

平成１ 8年 4月１４日發知

Comparison with Machida’s result

Machida’s result

(6.72, 6.35)181 INJ., 0.6 MW@Ext.

W/O CC

W/ CC W/ Mult. of BM & QM

W/O Mult. of BM & QM

W/ CC

Beam

surv

ival

Beam

surv

ival turns

time (sec)

Present result

Qx

Qy

1200 turns

Comparison of Beta functions

Machida’s beta

Present beta

Beta function for 1/3 of RCS @ (6.72, 6.35)

Bx (

m)

By (

m)

s (m)

s (m)

Comparison of painting area

Machida

Present

Normalized phase space

Matched beam,Emittance of linac beam: Gaussian(2) with=1.0 for x

n, yn

Mismatched beam,Emittance of linac beam: Gaussian(4) with=0.25 for x

n, yn

324 216

Effective painting area: ~ 170 (x & y) mm mrad

Effective painting area: ~ 170 (x), 100 (y) mm mrad

x-x’ y-y’

x-x’ y-y’

~170 ~170

~170 ~100

Improvement of painting

Effective painting area: ~ 170 (x), 100 (y) mm mrad

Effective painting area ~ 170 (x & y) mm mrad

Twiss parameters of linac beamx=10.740 m, x=-1.640y=11.334 m , y=+0.4

Twiss parameters of linac beamx=10.740 m, x=-1.640y=11.334 m , y=0.4

Improved

x-x’ y-y’

x-x’ y-y’

Beam loss after “some improvements”

(6.72, 6.35), 181 INJ., 0.6 MW@Ext.Chromatic cor. : ON

Beam

surv

ival

turns

W/ Mult

W/O Mult

x

Paint area

Linac beam profile

RCS simulation

- Mesh transverse : 50(r) x 64() for R=0.17 m longitudinal : 100

- Injection energy and beam power 181 MeV inj., 0.6 and 0.3 MW @ Ext.

- Number of macro particles 200000

- Paint type Correlate

- Linac beam profile x 　 : 0.256 (rms), 3.750 (99.5%) y 　 : 0.252 (rms), 3.485 (99.5%)

p/p　 : 0.00007(rms), 0.00013 (99.5%)

0.25 for x,y, 0.0001 for p/pGaussians (4) with - Twiss parameter of linac beam (mismatched beam) x=-1.640, x=10.740 m y=-0.4 , y=11.334 m

- Tracking condition -

Effective painting area ~ 170 (x & y) mm mrad

Twiss parameters of linac beamx=10.740 m, x=-1.640y=11.334 m , y=0.4

PaintingMismatched beam, Correlate paint

RCS simulation - Errors to be included in the simulations -

(1) Multipole field components of BM & QMBM : MEASURED data & TOSCAQM : TOSCA (The measurement will be performed soon.)

(2) Field errors of BM & QMBM : MEASURED data, ShufflingQM : No data → Random error [ Gauss(2) with =5E-4 ] (The measured data will be available soon.)

(3) Alignment errors of BM & QMRandom error [ Gauss(2) with =0.1 mm for dx & dy, =0.2 mrad for d

(4) Leak fields from INJ & EXT DC SEPTATOSCA (in progress)

(6) B-Q, Q-Q tracking errors

(5) Magnetic interference

(7) Bump field errors

included in simulations

The measurements of (Q-S), (Q-STR) … are planned.

K0 K1

(m-1)

K2

(m-2)

K3

(m-3)

K4

(m-4)

K5

(m-5)

K6

(m-6)

BM 0.262E+0 -0.202E-1 -0.503E-1

0.363E+0 -0.133E+2 0.234E+3 -0.637E+5

QFL - 0.207E+0 - 0.109E-1 - 0.245E+2 -

QDL - -0.205E+0 - -0.108E-1 - -0.243E+2 -

QFM - 0.214E+0 - 0.769E-2 - 0.127E+3 -

QFN - 0.221E+0 - 0.888E-2 - 0.358E+3 -

QDN - -0.236E+0 - -0.946E-2 - -0.382E+3 -

QDX - -0.210E+0 - -0.845E-2 - -0.341E+3 -

QFX - 0.161E+0 - 0.770E-2 - 0.160E+3 -

SDA - - -0.308E+0 - - - -

SDB - - -0.308E+0 - - - -

SFX - - 0.378E+0 - - - -

Multipole field components

Kn estimated at (6.68, 6.27)[ BM : Measurement & TOSCA QM : TOSCA ]

m

m m

rad

Q x-2Q y

=-6

4Q

x=2

7

Qx-4Qy=-18

2Q x-2

Q y=03Q

x+4Qy=45

Nonlinear resonances at RCS

Qx

Qx

Qy

Qy

p/p=0%

p/p=0.5%

- Multipole field in the BM and QM applied : K0 ～ K6

- Chromatic correction : ON (SDA=0.317, SDB=0.276, SFX=0.417 m-2)- Synchrotron oscillation : ON assuming the stationary bucket- Physical aperture : set for all the BM, QM, SM- Start point of tracking : 1st QDX- Initial condition of the beam particle: x=y, x=(x/x)1/2, x’=0, y=(y/y)1/2, y’=0, z=0, p/p=0 and 0.5%- Number of turns : 5000

x

y

We looked for the maximum x=y

for which the beam survives withinthe physical apertures up to 5000 turns.

x= y

Field & Alignment errors of BM

B

L)/(

BL)

x (

m)

y (

m)

(r

ad)

BM No.

After shuffling

Field & Alignment errors of QM

G

L)/(

GL)

x (

m)

y (

m)

(r

ad)

QM No.

COD & caused by errors(1)~(3)COD

dx (

m)

dy (

m)

s (m)

|CODx|<~1.5 mm (before cor.) <~0.5 mm (after cor.)

|CODy|<~4.5 mm (before cor.) <~0.8 mm (after cor.)

Before correction

After correction with STM

(6.72, 6.35) →(6.7217, 6.3492)

/~0.025% (x), 0.013% (y)

Preliminary results(6.72, 6.35)0.6 MW @ Extr.Chromatic cor. : ACC

Beam

surv

ival

turns

W/O Mult

W/ MultW/ Mult, ERROR, COD cor.

W/ Mult, ERROR

Survey of operating point

Qx

Qy

- Chromatic correction : NCC, DCC(181MeV), ACC

- Beam power : 0.3MW or 0.6MW at Extr.

- 3rd resonance correction(x-2y=-6) : ON or OFF- Several errors (field, alignment errors…) ON or OFF

- COD correction with STRs ON or OFF

Simulation system at JAEA

■インテル Pentium D プロセッサ 920 (2x2MB L2キャッシュ /2.80GHz/800MHz FSB) ■デュアルチャネル DDR2-SDRAM 1024MB PC2-4200(512MBx2)■250GB Serial-ATAハードディスク■インテル 945G Expressチップセット …………………………………………

○ Mouse computer Lm-i 913 (×1３台 ＋ 10台？ )

CPU TIME (INJ~EXT： ~15000 turns) : ~ 2.5 months

Short term simulation up to ~3000 turns(15 days)(survey of operating point)

○ Parallel computer at JAEA

CPU TIME (INJ~EXT： ~15000 turns) : ~ 1 months

Long term simulation(full simulation from INJ through EXT)