Martin Dohlus double bc jan 2004

double BC

� proposed setuptracking with ASTRA, ELEGANT and CSRtrack

�BC1 entrance� conversion (200000 →→→→ 8120)�BC1 exit�BC2 entrance� conversion (200000 →→→→ 10100)�BC2 exit� conversion (10100 →→→→ 200000)

Martin Dohlus double bc jan 2004

ASTRA(space charge)

ELEGANT(geom. Wakes, CSR)

CSR-Track

1 2 3 4

1 entrance of BC1 ASTRA/ELEGANT calculation with 200000 particles by Y.Kim2 exit of BC 13 entrance of BC2 ASTRA/ELEGANT calculation with 200000 particles by Y.Kim4 exit of BC2

proposed setup

Martin Dohlus double bc jan 2004

1

0.156

m646

m52

radm1012.1

1

6

=

=

=

⋅⋅= −

γ

.β

.α -

Eεγ

BC1 entrance

Martin Dohlus double bc jan 2004

Martin Dohlus double bc jan 2004

a) longitudinal, equidistant z-mesh, no uncorrelated energy spread !

b) transverse, gaussian, equidistant meshlength / mm

37 particles/slice, 219 slices

conversion (200000 →→→→ 8120)

Martin Dohlus double bc jan 2004

BC1 exit(1.5 m after BC1)

full full

full

Martin Dohlus double bc jan 2004

Martin Dohlus double bc jan 2004

full projected

Martin Dohlus double bc jan 2004

3

0.151

m1940

m252

radm1010.1

1

6

=

=

=

⋅⋅= −

γ

.β

.α -

Eεγ

BC2 entrance

Martin Dohlus double bc jan 2004

Martin Dohlus double bc jan 2004

a) longitudinal, dE-mesh (not equidistant), no uncorrelated energy spread !

b) transverse, gaussian, equidistant mesh101 particles/slice, 100 slices

conversion (200000 →→→→ 10100)

Martin Dohlus double bc jan 2004

BC2 entrance

BC2 exit

∆E = ∆E

equidistant E-mesh

�

distance betweentail slices isincreased

use fine mesh in the tails:

Martin Dohlus double bc jan 2004

BC2 exit(1.5 m after BC2)

full full

full

Martin Dohlus double bc jan 2004

1.5 m after BC2, analysis of “initial” slices

full projected

m50 µ≈

m35 µ≈

Martin Dohlus double bc jan 2004

full projected

(only red particles)

Martin Dohlus double bc jan 2004

conversion (10100 →→→→ 200000)

200000particles

��������

�

�

��������

�

�

z

y

x

p

z

p

y

p

x

200000particles

( )��������

�

�

��������

�

�

−0

0

0

zc

y

pzz

p

y

200000particles

��������

�

�

��������

�

�

z

zc

x

p

pz

p

x

)(

0

0

10100particles

�����

�

�

�����

�

�

z

zc

x

p

pz

p

x

)(

10100particles

�����

�

�

�����

�

�

z

x

p

z

p

x

200000particles

��������

�

�

��������

�

�

0

0

0

z

p

y

y

200000particles

��������

�

�

��������

�

�

z

x

p

z

p

x

0

0

200000particles

��������

�

�

��������

�

�

z

y

x

p

z

p

y

p

x

CSRtrack

transport matrix

verticalz-pz uncorrelated

horizontalz-pz

correlated

Martin Dohlus double bc jan 2004

CSRtrack particles

200000 particleswithout / with “uncorrelated” dE

Martin Dohlus double bc jan 2004

only transport matrixcsr+uncorr.