Emittance growth due to misalignment in multistage laser-plasma accelerators

Thévenet, Maxence; Lehe, Rémi; Schroeder, C. B.; Benedetti, C.; Vay, Jean‐Luc; Esarey, E.; Leemans, Wim

doi:10.1103/physrevaccelbeams.22.051302

Cited by 19 publications

(9 citation statements)

References 38 publications

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“…No effort was made to optimize this (by for example paying attention to the betatron phase at the exit of each stage by tuning the plasma accelerator length), but nevertheless the chromatic emittance growth is negligible for likely collider parameters even for this simple design. As has been previously shown, the effects of beam misalignment need consideration [10], which could be studied through a realistic design using the linear transfer matrix approach outlined here and a large number of particles. The choice not to model e.g.…”

Section: Discussionmentioning

confidence: 99%

“…There has been a lot of work in understanding transport between stages, through experiments [4] and simulations/theory [5][6][7][8]. In particular, significant attention has been paid to chromatic emittance growth through mismatched beams [9] and misalignment [10]. To improve the matching, adiabatic matching using density ramps has been studied [11][12][13][14][15] as well as other beam transport components based on plasma elements [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Modelling Chromatic Emittance Growth in Staged Plasma Wakefield Acceleration to 1 TeV using Nonlinear Transfer Matrices

Thomas,

Seipt

2021

Preprint

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A framework for integrating transfer matrices with particle-in-cell simulations is developed for TeV staging of plasma wakefield accelerators. Using nonlinear transfer matrices in terms up to ninth order in normalized energy spread δγ 2 and deriving a compact expression for the chromatic emittance growth in terms of the nonlinear matrix, plasma wakefield accelerating stages simulated using the three-dimensional particle-in-cell framework OSIRIS 4.0 were combined to model acceleration of an electron beam from 10 GeV to 1 TeV in 85 plasma stages of meter scale-length with long density ramps and connected by simple focusing lenses. In this calculation, we find that for relative energy spreads below 10 −3 and normalized emittance below mm-mrad, the chromatic emittance growth can be minimal. The technique developed here may be useful for plasma collider design, and could be expanded to encompass non-linear wake structures and include other degrees of freedom such as lepton spin.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling Chromatic Emittance Growth in Staged Plasma Wakefield Acceleration to 1 TeV using Nonlinear Transfer Matrices

Thomas,

Seipt

2021

Preprint

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“…[22,23] derived simple expressions for the saturated emittance and initial growth rate, Ref. [24] considered emittance in the presence of a laser driver, and Ref. [25] worked out the saturated emittance for an injection mismatch in a conventional accelerator.…”

Section: Introductionmentioning

confidence: 99%

“…Typically, the longitudinal phase space is assumed to take on a simple form and previous approaches cannot handle arbitrary distributions. Further, the longitudinal slice emittance has only been briefly in-vestigated [24,26,27], while the energy slice emittance has yet to receive serious attention despite its importance in a transverse gradient undulator [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Chromatic Dynamics of an Electron Beam in a Plasma Based Accelerator

Ariniello¹,

Doss²,

Lee³

et al. 2021

Preprint

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We present a theoretical investigation of the chromatic dynamics of the witness beam within a plasma based accelerator. We derive the single particle motion of an electron in an ion column within a nonlinear, blowout wake including adiabatic dampening and adiabatic variations in plasma density. Using this, we calculate the evolution of the beam moments and emittance for an electron beam. Our model can handle near arbitrary longitudinal phase space distributions. We include the effects of energy change in the beam, imperfect wake loading, initial transverse offsets of the beam, and mismatch between the beam and plasma. We use our model to derive analytic saturation lengths for the projected, longitudinal slice, and energy slice emittance under different beam loading conditions. Further, we show that the centroid oscillations and spot sizes vary between the slices and the variation depends strongly on the beam loading. Next, we show how a beam evolves in a full plasma source with density ramps and show that the integral of the plasma density along the ramp determines the impact on the beam. Finally, we derive several simple scaling laws that show how to design a plasma based injector to produce a target beam energy and energy spread.

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“…However, the emittance is not guaranteed to be preserved in a plasma-based accelerator. Potential sources of emittance degradation include decoherence of a mismatched beam 5,6 or misaligned beam 5,7 , non-linear focusing fields (e.g. resulting from ion motion in the plasma wakefield) [8][9][10] , and beamhosing instability [11][12][13][14][15][16] .…”

Section: Introductionmentioning

confidence: 99%

Modeling of emittance growth due to Coulomb collisions in plasma-based accelerators

et al. 2020

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Coulomb collisions with background plasma are one source of emittance degradation in plasma accelerators. This paper shows that the emittance growth due to Coulomb collisions can be correctly captured in particle-in-cell simulations, with a proper Monte Carlo binary collision module. The theory of the emittance growth due to Coulomb collisions is extended from a monoenergetic matched beam to a mismatched beam with energy spread, and is compared with simulation results.

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Emittance growth due to misalignment in multistage laser-plasma accelerators

Cited by 19 publications

References 38 publications

Modelling Chromatic Emittance Growth in Staged Plasma Wakefield Acceleration to 1 TeV using Nonlinear Transfer Matrices

Modelling Chromatic Emittance Growth in Staged Plasma Wakefield Acceleration to 1 TeV using Nonlinear Transfer Matrices

Chromatic Dynamics of an Electron Beam in a Plasma Based Accelerator

Modeling of emittance growth due to Coulomb collisions in plasma-based accelerators

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