Robinson Instability in PHC (Passive Harmonic

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Description: Robinson Instability in PHC (Passive Harmonic Cavity) 20232308 Youngmin Park 2024-10-18 1 Index 2 Robinson Instability with Multiple Bunch HHC in Storage Ring PNHC Simulation PSHC Simulation Cavity Mode(D-mode) in PSHC Case Robinson

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slide1. Robinson Instability in PHC (Passive Harmonic Cavity) 20232308 Youngmin Park

2024-10-18 1<br>
slide2. Index 2 Robinson Instability with Multiple Bunch

HHC in Storage Ring
PNHC Simulation
PSHC Simulation

Cavity Mode(D-mode) in PSHC Case<br>
slide3. Robinson Instability with Multiple Bunch 3 Robinson Instability<br>
slide4. Robinson Instability with Multiple Bunch 4 Robinson Instability with Multiple Bunch<br>
slide5. Robinson Instability with Multiple Bunch 5 Threshold Shunt Impedance Stable Unstable<br>
slide6. HHC in Storage Ring 6 HHC [1] R.P. Walker et al., “Diamond-II technical design report”, Diamond Light Source Ltd, (2022).
[2] Francis Cullinan., “Review of Harmonic Cavities in Fourth-Generation Storage Rings”,FLS2023,Luzern,(2023). [1] [2]<br>
slide7. HHC in Storage Ring 7 PHC<br>
slide8. HHC in Storage Ring 8 PNHC<br>
slide9. HHC in Storage Ring 9 PNHC and Threshold Shunt Impedance Stable Unstable Instability region Stable, but not useful<br>
slide10. HHC in Storage Ring 10 PNHC Simulation<br>
slide11. HHC in Storage Ring 11 Analysis<br>
slide12. HHC in Storage Ring 12 PSHC<br>
slide13. HHC in Storage Ring 13 PSHC Stable Stable Unstable<br>
slide14. HHC Simulation and Result 14 PSHC Case ???<br>
slide15. Cavity Mode(D-mode) in PSHC Case D-mode Instability<br>
slide16. Cavity Mode(D-mode) in PSHC Case Problem There is a discrepancy between the calculations and simulations.<br>
slide17. Appendix A. 17 Simulation Method The voltage from the main cavity is assumed to be a sin wave. The voltage induced by passive harmonic cavity is determined by the wake field.<br>