2017
DOI: 10.1103/physrevaccelbeams.20.101002
|View full text |Cite
|
Sign up to set email alerts
|

Beam-beam amplitude detuning with forced oscillations

Abstract: Recently, relations were established between the coefficients of free and forced amplitude detuning polynomial expansions. The forced oscillations were considered only in a single plane. In this paper we extend and generalize previous results by developing analytical equations that transform the free amplitude detuning function into the amplitude detuning involving forced oscillations in both transverse planes. These are used to obtain closed approximated formulas for the beam-beam amplitude detuning with forc… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

2019
2019
2022
2022

Publication Types

Select...
4
1

Relationship

2
3

Authors

Journals

citations
Cited by 7 publications
(4 citation statements)
references
References 17 publications
0
4
0
Order By: Relevance
“…The beam dynamics with forced oscillations features remarkable differences from that of free oscillations [34][35][36][37]. In presence of an AC dipole the measured β functions differ from the machine β functions.…”
Section: Betatron Oscillations Free or Forcedmentioning
confidence: 82%
“…The beam dynamics with forced oscillations features remarkable differences from that of free oscillations [34][35][36][37]. In presence of an AC dipole the measured β functions differ from the machine β functions.…”
Section: Betatron Oscillations Free or Forcedmentioning
confidence: 82%
“…In this part we investigate if ADeCTA can be generated in the same way under forced oscillations. Amplitude detuning for forced oscillations is studied in [11,12] up to first order in the strengths of sources of amplitude detuning, while ADeCTA requires higher order approximations. In the following we combine the approaches in [4] and [11,12,30] to study the possible ADeCTA with forced oscillations.…”
Section: A Theorymentioning
confidence: 99%
“…It is well known that the particle motion in the presence of forced oscillations differs from the free motion following a single kick. This has led to methods which account for this difference in the motion when reconstructing the optics parameters [9][10][11][12]. However, these studies stay at linear order in the strength of perturbing components and can therefore not be used to predict the ADeCTA.…”
Section: Introductionmentioning
confidence: 99%
“…The success and reliability of ac dipoles have allowed them to be used for new applications. The LHC ac dipoles have been used to measure the physical aperture of the collider to assist in collimator alignment [19], to measure amplitude detuning in the presence of head-on beam-beam interactions [20] as well as to measure the machine impedance [21]. More recently ac dipoles have been used in lightsources, such as at ESRF [22], PETRA III [23] and ALBA [24].…”
Section: Introductionmentioning
confidence: 99%