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Numerical Simulation of CSR induced Instabilities

Numerical Simulation of CSR induced Instabilities. T. Limberg, P. Piot Zeuthen, CSR Workshop 2002. Flat Top Bunch Shape for Modulation Enhancement Studies. Make bunches with flat tops 20 modulation lengths wide Soften the tail drop-off to prevent edge-effects affect the middle plateau

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Numerical Simulation of CSR induced Instabilities

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  1. Numerical Simulation of CSR induced Instabilities T. Limberg, P. Piot Zeuthen, CSR Workshop 2002

  2. Flat Top Bunch Shape for Modulation Enhancement Studies • Make bunches with flat tops 20 modulation lengths wide • Soften the tail drop-off to prevent edge-effects affect the middle plateau • Use 1500 –2500 sub-bunches to achieve a smoothly modulated profile • Current at flat top is 6kA • Run bunch at 5 GeV without compression through the benchmark chicane

  3. Charge Modulation on Flat Top

  4. TraFiC4 Calculations with initial Modulation • l = 10 um sinusoidal modulation • 200 um flat top with 6000 A current

  5. TraFiC4 Calculations with initial Modulation • l = 4 um sinusoidal modulation • 80 um flat top with 6000 A current

  6. Modulation Increase along the Chicane

  7. T4P2

  8. T4P2 showing longitudinal wake and distribution

  9. T4P2 showing longitudinal wake and distribution after zooming in

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