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Numerical Simulation of CSR-Induced Instabilities in Flat Top Bunch Profiles

This study explores the use of flat top bunch shapes to enhance modulation in a CSR (coherent synchrotron radiation) environment. By creating bunches with flat tops that span 20 modulation lengths, we aim to minimize edge effects and ensure a consistent middle plateau. The simulation projects the performance of 1500 to 2500 sub-bunches, achieving stable modulation profiles with a maximum current of 6 kA at a flat top. The work includes calculations with initial sinusoidal modulation at various wavelengths, investigating longitudinal wake effects and charge distribution through a benchmark chicane at 5 GeV.

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Numerical Simulation of CSR-Induced Instabilities in Flat Top Bunch Profiles

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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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