Resistive-wall impedance of two-layer tube

Wang, Ning; Qin, Q.

doi:10.1103/physrevstab.10.111003

Cited by 16 publications

(10 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In advanced electron, hadron, or heavy ion accelerators [3-9], the technical solutions for high vacuum performance, cures of resistive instabilities [10 -12], prevention of the static charge [13,14], and shielding of external radiation [15][16][17][18][19] very often imply the usage of laminated (or multilayer) vacuum chamber configuration. These complications along with the stringent requirements to the beam quality recently drove rigorous study of the longitudinal and transverse resistive impedances of the multilayer vacuum chamber to obtain the exact analytical solution valid for both nonrelativistic and ultrarelativistic beams [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…The transverse dipole impedance for the two-layer tube with infinite external layer thickness is derived in [26]. A number of analytical and numerical studies of multilayer tube impedance are given in [17,22,[27][28][29][30][31][32]. In [20,21] the analytical solutions for longitudinal and transverse impedances of the two-layer tube in the ultrarelativistic case have been derived.…”

Section: Introductionmentioning

confidence: 99%

“…In [20,21] the analytical solutions for longitudinal and transverse impedances of the two-layer tube in the ultrarelativistic case have been derived. However, even the case of the three-layer tube causes difficulties for direct calculations [22,31,32].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multilayer tube impedance and external radiation

Ivanyan

Laziev

Tsakanov

et al. 2008

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

The paper describes a method for calculating the longitudinal and transverse impedances of the laminated round pipe with many layers of different materials. The charge is moving along the pipe axis with arbitrary constant velocity. The study is based on the field-matching technique applied for the arbitrary harmonic of the electromagnetic field. The matrix formalism has been developed to describe the field transitions through the subsequent layers that allow coupling the electromagnetic fields inside and outside the pipe. The number of equations to be solved is then reduced to four algebraic equations. The solutions and ultrarelativistic limits for the field harmonics in the inner and outer regions of the pipe are derived.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multilayer tube impedance and external radiation

Ivanyan

Laziev

Tsakanov

et al. 2008

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

show abstract

“…In these hypotheses, if we add the condition that ωb=ðγβcÞ ≃ 8 × 10 −4 ≪ 1, where we have used the maximum frequency of 100 GHz and, for the relativistic factors β and γ, the machine with lowest energy, which is equivalent to ignore space charge effects, the longitudinal and transverse impedances of a two-layer circular beam pipe [21] can be written in a simple form as…”

Section: Resistive Wall Impedance With Coatingmentioning

confidence: 99%

Impact of the resistive wall impedance on beam dynamics in the Future Circulare+e−Collider

Migliorati

Belli²,

Zobov

2018

Phys. Rev. Accel. Beams

View full text Add to dashboard Cite

The Future Circular Collider study, which aims at designing post-LHC particle accelerator options, is entering in the final stage, which foresees a conceptual design report containing the basic requirements for a hadron and a lepton collider, as well as options for an electron-proton machine. Due to the high beam intensities of these accelerators, collective effects have to be carefully analyzed. Among them, the finite conductivity of the beam vacuum chamber represents a major source of impedance for the electron-positron collider. By using numerical and analytical tools, a parametric study of longitudinal and transverse instabilities caused by the resistive wall is performed in this paper for the case of the Future Circular Collider lepton machine, by taking into account also the effects of coating, used to fight the electron cloud build up. It will be proved that under certain assumptions the coupling impedance of a two layer system does not depend on the conductivity of the coating and this property represents an important characteristic for the choice of the material itself. The results and findings of this study have an impact on the machine design in several aspects. In particular the quite low threshold of single bunch instabilities with respect to the nominal beam current and the not negligible power losses due to the resistive wall are shown, together with the necessity of a new feedback system to counteract the fast transverse coupled bunch instability. The importance of a round vacuum chamber to avoid the quadrupolar tune shift is also discussed. Finally the crucial importance of the beam pipe material coating and thickness choice for the above results is underlined.

show abstract

“…To go beyond these limitations a general multi-layer theory is considered here. For an axisymmetric two dimensional geometry, analytical calculations have been existing since a long time: one can mention the general formalism of B. Zotter [18,[28][29][30][31], the one of A. Burov and V. Lebedev [32] which is simpler but slightly less general, and more recently some matrix formalisms using potentials [33][34][35][36]. For other simple but non-axisymmetric two-dimensional geometries (elliptic, rectangular, or flat and infinitely large), the usual approach is to deduce the impedance from the axisymmetric case multiplied by some constant form factors [37] depending on the geometry, often called Yokoya [7] or Laslett [6] factors.…”

Section: B Two-dimensional Models For the Computation Of Thementioning

confidence: 99%

Beam Instabilities in Hadron Synchrotrons

Métral

Argyropoulos

Bartosik

et al. 2016

IEEE Trans. Nucl. Sci.

View full text Add to dashboard Cite

Abstract-Beam instabilities cover a wide range of effects in particle accelerators and they have been the subject of intense research for several decades. As the machines performance was pushed new mechanisms were revealed and nowadays the challenge consists in studying the interplays between all this intricate phenomena, as it is very often not possible to treat the different effects separately. The aim of this paper is to review the main mechanisms, discussing in particular the recent developments of beam instability theories and simulations.

show abstract

Resistive-wall impedance of two-layer tube

Cited by 16 publications

References 10 publications

Multilayer tube impedance and external radiation

Multilayer tube impedance and external radiation

Impact of the resistive wall impedance on beam dynamics in the Future Circulare+e−Collider

Beam Instabilities in Hadron Synchrotrons

Contact Info

Product

Resources

About