Simulation of Slip Stacking - beamdocs.fnal.gov

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-