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Electron Beam Disruption Simulations

Electron Beam Disruption Simulations. Yue Hao C-AD, BNL. Beam-Beam Model. For an exactly round beam with transverse Gaussian distribution, the electric field is expressed as:. The field amplitude increase linear with r at small r, decrease as 1/r at large r. The maximum occur at r= 1.585 σ.

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Electron Beam Disruption Simulations

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  1. Electron Beam Disruption Simulations Yue Hao C-AD, BNL

  2. Beam-Beam Model For an exactly round beam with transverse Gaussian distribution, the electric field is expressed as: The field amplitude increase linear with r at small r, decrease as 1/r at large r. The maximum occur at r= 1.585 σ

  3. Proton: Strong Beam round Gaussian beam, rms size: 50 microns longitudinal: Gaussian Beam, rms length 20cm • Electron: Weak Beam round beam, rms size: 50 microns longitudinal length is much shorter. Only transverse distribution is considered. p e

  4. Assumptions and Parameter list • Assumptions: • Strong-Weak approximation • Proton beam is Gaussian round beam • Drift Space around IP Main Parameters: The code use UAL library and GUI interface provided by N. Malitsky.

  5. e proton Initial Beam Distribution

  6. Final Distribution without Beam-Beam effect

  7. Final Distribution with Beam-Beam Effect(1E11 protons in Bunch)

  8. Emittance Growth

  9. Linear term, no contribution to emittance growth. Related to the electrons’ tune shift. Nonlinear terms, cause emittance growth.

  10. Electron Beam Disruption SimulationsSummary Beam-Beam Model (Round Gaussian beam is assumed) Proton: Strong Beam rms size: 50 microns longitudinal: Gaussian Beam, rms length 20cm, sliced Electron: Weak Beam rms size: 50 microns With b-b effect (up) VS. without b-b effect(down) B-B effect cause 40% emittance increase in this case Next step is to study the electrons’ collective effect acted on protons.

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