Wake Potentials of a Relativistic Point Charge Crossing a Beam-Pipe Gap: An Analytical Approximation

Dome, G.

doi:10.1109/tns.1985.4333970

Cited by 23 publications

(5 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…-The impedance falls off as k-1/2 in agreement with the results of Lawson [80,811 and Dome [24]. For a short Gaussian bunch, for which c << a, this high-frequency'-' tail of the impedance gives the main contribution to the energy loss for a cavity: The longitudinal loss factor as a function of the rms bunch length; -a = 3.5 cm, b = 5.5 cm, g = 2.5 cm.…”

Section: Loss Factors In the Diffraction Modelsupporting

confidence: 88%

“…The concept of narrow-band impedance presumes that the openings are small compared to the cavity surface. In this case, the field pattern inside the cavity is expected to be perturbed only slightly by the presence of the side tubes, and to be similar to that of the closed cavity [24]. Therefore, in the vicinity of the eigenfrequencies of the unperturbed cavity for which is shown here (solid line).…”

Section: --D a Perturbation Methodsmentioning

confidence: 83%

See 1 more Smart Citation

Coupling impedance for modern accelerators

Heifets¹,

Kheifets²

1992

AIP Conference Proceedings

View full text Add to dashboard Cite

Section: Loss Factors In the Diffraction Modelsupporting

confidence: 88%

Section: --D a Perturbation Methodsmentioning

confidence: 83%

Coupling impedance for modern accelerators

Heifets¹,

Kheifets²

1992

AIP Conference Proceedings

View full text Add to dashboard Cite

“…where N is the truncation order, namely the number of terms retained in expansion (7), c (N) is the coefficients vector corresponding to that truncation error, and the standard Euclidean norm in ℓ 2 is employed. The error is plotted in Figures 3-7 for different geometries.…”

Section: Infinite Array Of Ringsmentioning

confidence: 99%

“…It was considered for the first time likely by Bobrinev and Braginskii [1] in 1958 for non-relativistic particles and in 1959 by Dnestrovskii and Kostomarov for the ultra-relativistic case [2]. Since then, many other articles have dealt with the diffraction by axially symmetric structures [3][4][5][6][7][8][9][10][11][12][13] as well as perfectly conducting semi-planes [14,15] and wedges [16,17]. In particular, in [10] a paradox rose when calculating the wake potential, which happened to be a not-causal function in the ultra-relativistic case.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis

Assante

Panariello

Schettino

et al. 2021

IET Microwaves Antenna & Prop

View full text Add to dashboard Cite

The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge behaviour of the unknown induced current. As a result, high accuracy and numerical stability are achieved. Numerical results are presented, proving the effectiveness of the method, and the parameters relevant to accelerator physics are calculated.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

show abstract

“…The above formulas can be used to analytically calculate the wake potentials in right-cylinder structures in which the electromagnetic fields can be expressed in a closed form, such as pillbox resonators [18] and disk-loaded waveguide structures [19,20] with excitation by a point charge [21] or charged rings [22].…”

Section: Introductionmentioning

confidence: 99%

Calculation of wakefields in a 17 GHz beam-driven photonic band-gap accelerator structure

Munroe

Shapiro

et al. 2013

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

We present the theoretical analysis and computer simulation of the wakefields in a 17 GHz photonic band-gap (PBG) structure for accelerator applications. Using the commercial code CST PARTICLE STUDIO, the fundamental accelerating mode and dipole modes are excited by passing an 18 MeV electron beam through a seven-cell traveling-wave PBG structure. The characteristics of the longitudinal and transverse wakefields, wake potential spectrum, dipole mode distribution, and their quality factors are calculated and analyzed theoretically. Unlike in conventional disk-loaded waveguide (DLW) structures, three dipole modes (TM 11 -like, TM 12 -like, and TM 13 -like) are excited in the PBG structure with comparable initial amplitudes. These modes are separated by less than 4 GHz in frequency and are damped quickly due to low radiative Q factors. Simulations verify that a PBG structure provides wakefield damping relative to a DLW structure. Simulations were done with both single-bunch excitation to determine the frequency spectrum of the wakefields and multibunch excitation to compare to wakefield measurements taken at MIT using a 17 GHz bunch train. These simulation results will guide the design of next-generation highgradient accelerator PBG structures.

show abstract

Wake Potentials of a Relativistic Point Charge Crossing a Beam-Pipe Gap: An Analytical Approximation

Cited by 23 publications

References 4 publications

Coupling impedance for modern accelerators

Coupling impedance for modern accelerators

Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis

Calculation of wakefields in a 17 GHz beam-driven photonic band-gap accelerator structure

Contact Info

Product

Resources

About