Annular Cherenkov High Gradient Wakefield Accelerator: Beam-Breakup Analysis and Energy Transfer Efficiency

Altmark, A.; Kanareykin, A.

doi:10.1088/1742-6596/357/1/012001

Cited by 10 publications

(13 citation statements)

References 9 publications

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“…In this section we present results of calculations of the longitudinal electric field E z in the cross section of waveguides with the most common cross section shapes: cylindrical, planar, rectangular, and elliptical. The results were obtained by using formula (31) and found to be in full agreement with those obtained using the mode decomposition method [14,23,24], where dielectric was considered as a retarding layer. For the case of the cylindrical structure we derived the two-dimensional Green function in explicit form.…”

Section: Simulations and Resultssupporting

confidence: 69%

“…For the comparison of present results with mode decomposition approach the method published in the paper [24] was used, where a circular dielectric loaded waveguide was considered. Comparison with [24] was made letting ζ ¼ 0 in formulas published in [24] and particle energy 1 GeV. Table I contains a list of parameters for the cylindrical structure.…”

Section: A Transverse Distribution Of the E Z Field In A Cylindricalmentioning

confidence: 99%

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New method of calculating the wakefields of a point charge in a waveguide of arbitrary cross section

Baturin

Kanareykin

2016

Phys. Rev. Accel. Beams

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A new method for calculating the Cherenkov wakefield acting on a point charged particle passing through a longitudinally homogeneous structure lined with layer(s) of an arbitrary retarding (dielectric, resistive, or corrugated) material has been developed. In this paper we present a rigorous derivation of the expressions for the fields that are valid at the cross section of the particle on the basis of a conformal mapping method. This new formalism allows reduction of the loss factor calculation to a simple derivation of a conformal mapping function from the arbitrary cross section onto a circular disc. We generalize these results to the case of a bunch with an arbitrary transverse distribution by deriving a two-dimensional Green function at the cross section of the particle. Consequently, for the first time analytical expressions for the transverse distributions of the electric field E z for the most commonly used cylindrical, planar and elliptical cross section geometries are found. The proposed approach significantly decreases simulation time and opens new possibilities in optimizing wakefield effects resulting from short charged particle bunches for FEL and Linear Collider applications.

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Section: Simulations and Resultssupporting

confidence: 69%

Section: A Transverse Distribution Of the E Z Field In A Cylindricalmentioning

confidence: 99%

New method of calculating the wakefields of a point charge in a waveguide of arbitrary cross section

Baturin

Kanareykin

2016

Phys. Rev. Accel. Beams

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“…Figure 5 shows the Green's function and its spectrum for this case, calculated using formulas taken from Ref. [17] and benchmarked with CST [18]. The charge density distribution for this case was meticulously prepared to yield a quasiconstant E − using the algorithm described in the Appendix.…”

Section: Illustrationsmentioning

confidence: 99%

Upper limit for the accelerating gradient in the collinear wakefield accelerator as a function of the transformer ratio

Baturin

Zholents

2017

Phys. Rev. Accel. Beams

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The interrelation between the accelerating gradient and the transformer ratio in the collinear wakefield accelerator has been analyzed. It has been shown that the high transformer ratio and the high efficiency of the energy transfer from the drive bunch to the witness bunch can only be achieved at the expense of the accelerating gradient. Rigorous proof is given that in best cases of meticulously shaped charge density distributions in the drive bunch, the maximum accelerating gradient falls proportionally to the gain in the transformer ratio. Conclusions are verified using several representative examples.

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“…In dielectric waveguide with cylindrical geometry 100nC driver bunch creates accelerating field up to 100 MV/m. Transverse beam dynamics of diver bunch is a critical issue for the wakefield accelerating structure development [2]. The passing length of the driver dominated by strong deflecting field of HEM (Hybrid Electro Magnetic) modes.…”

mentioning

confidence: 99%

“…Our analysis was carried out with the help of the in-house code BBU'3000 [4] especially developed for the dielectric loaded wakefield accelerator [2,3]. The calculation results will be used for the newly updated Argonne Wakefield Accelerator for experiments with the 75 MeV electron drive beams [5].…”

mentioning

confidence: 99%

Transverse dynamics of the relativistic electron beams passing through coaxial cylindrical dielectric waveguides

Altmark¹,

Kanareykin

2014

2014 20th International Workshop on Beam Dynamics and Optimization (BDO)

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Transverse beam dynamics is a critical issue for the wakefield accelerating structure development. The passing length of the driving high current low energy bunch, which generates wakefields, is dominated by strong deflecting field of HEM (Hybrid Electro Magnetic) modes. Properly adjusted FODO focusing system allows to keep the bunch off the dielectric walls along the waveguide axis. We present here our investigation results on the high order (m>1) HEM modes effect on the transverse beam dynamics of the driving 20-30 nC beam. Our analysis was carried out with the help of the in-house code BBU'3000 especially developed for the dielectric loaded wakefield accelerator . The calculation results will be used for the newly updated Argonne Wakefield Accelerator for experiments with the 75 MeV electron drive beams.Wakefield in dielectric waveguides is used to achieve high acceleration rates of charged particles [1]. This scheme includes at least two bunches passing through the vacuum channel: driver bunch with high charge and low energy and witness bunch with low charge and high energy. The delay between these bunches is chosen to correspond witness to an accelerating phase of the wakefield. In dielectric waveguide with cylindrical geometry 100nC driver bunch creates accelerating field up to 100 MV/m. Transverse beam dynamics of diver bunch is a critical issue for the wakefield accelerating structure development [2]. The passing length of the driver dominated by strong deflecting field of HEM (Hybrid Electro Magnetic) modes. The tail of driver bunch is deflected by strong transverse force.Properly adjusted focusing-defocusing (FODO) quadruples system [3] allows to keep the bunch off the dielectric walls along the waveguide axis (Fig.1). Transverse structure of quadrupole focusing field F t is presented on Fig.2. We investigated the influence of transverse offset of driver bunch on the propagation length.We present here our investigation results on the high order (m>1) HEM modes effect on the transverse beam dynamics of the driving 20-30 nC beam. Our analysis was carried out with the help of the in-house code BBU'3000 [4] especially developed for the dielectric loaded wakefield accelerator [2,3]. The calculation results will be used for the newly updated Argonne Wakefield Accelerator for experiments with the 75 MeV electron drive beams [5]. Figure 1. The driver bunch is passing through dielectric waveguide and sequence of FODO cells Figure 2. The transverse field structure Ft of quadrupole FODO focusing system in vacuum channel

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Annular Cherenkov High Gradient Wakefield Accelerator: Beam-Breakup Analysis and Energy Transfer Efficiency

Cited by 10 publications

References 9 publications

New method of calculating the wakefields of a point charge in a waveguide of arbitrary cross section

New method of calculating the wakefields of a point charge in a waveguide of arbitrary cross section

Upper limit for the accelerating gradient in the collinear wakefield accelerator as a function of the transformer ratio

Transverse dynamics of the relativistic electron beams passing through coaxial cylindrical dielectric waveguides

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