Simulatio
Stack
Student: Alexey Kuznetsov (N
Supervisor: Kiyomi Seiya (FN
on of Slip
king
NSU, Novosibirsk, Russia)
NAL, Batavia, IL, USA)
Main
• Build a program that coul
“slip-stacking”.
• Make a simple interface fo
everybody could use it wit
• Compare results of simula
data.
• Understand the mechanism
processes of slip stacking a
task
ld simulate a process of
or this program so that
thout recompiling.
ation with the experimental
m of beam loss in both
and multi-batch stacking.
Introd
φ n +1 = φn + 2πhηc 2 ∆ E n +1
υ 2Es
∆En+1 = ∆En + eV sin φn
duction
Initial distribut
Gaussian distribution of energy and coordina
∆E (eV)tion of particles
ate
Phase (Rad)
Possibilities to make different
distributions of particles:
•Gaussian distribution
•Parabolic distribution
•Setting ∆E (height of beam) and ∆phase
(width of beam)
Simulation of slip stac
I. FREQUENCY
1500
1000
500 Injecti
0
Injection
-500
-1000
-1500 0.02 0.04 0.06
0 Time
cking 2 single bunches
Y DEPENDENCE
ion
0.08 0.1 0.12 0.14 0.16
e (sec)
Simulation of slip stac
II. TRANSFORMATION
Beams before capturing
cking 2 single bunches
N OF BEAM WITH TIME
Beams after capturing
Simulation of stacking 2 bu
150 84 bun
Input parameters:
Gaussian distribution
Intensity 100 στ=2.019 ns
σΕ=5 MeV
50 Beam loss ≈5%
0
5 10 7
∆E (eV) 0
-5 10 7
-1500 -1000 -500
Ph
utches (each batch contains
nches)
0 500 1000 1500
hase (Rad)
Experimental resu
stack
ults of multi-batch
king
Gap beam
loss
Beam loss ≈6%
Simulation of mul
I. MECHANISM OF MUL
gap
gap
ulti-batch stacking
LTI-BATCH STACKING
p
“Kicking” particles
from the gap
p
Injecting a new batch
Simulation of mul
II. INPUT PARAMETER
+/-10MeV
Approximation:
Gaussian distributions
σE=5 MeV
σt=2.025 nsec
lti-batch stacking
RS FOR SIMULATION
8.1nsec
Simulation of mul
III. RES
6 10 5 Intensity with beam loss
5 10 5 Intensity without beam loss
4 10 5
3 10 5
2 10 5
1 10 5
0 0.1 0.2 0.3
Time (s
0
150
100
50
0
Phas
lti-batch stacking
SULTS
0.4 0.5 Beam loss 6%
(sec) 0.6 0.7 0.8
se
Conclu
• During this summer ther
program, that is able to s
“slip stacking” and multi
different input parameter
• Comparison the experim
simulated data shows tha
agrees with the experime
batches. With this progra
amount of “gap” beam lo
batch stacking.
usion
re was made a computer
simulate the process of
ti-batch stacking with
rs.
mental data with the
at the result of simulation
ent in case of two 84
am we can estimate the
oss in process of multi-