1. Velocity Compliant Bunching Scheme with Amplitude Modulation Yoshihisa Iwashita Advanced Research Center for Beam Science, Institute for Chemical Research, Kyoto University, Gokanosho, Uji, Kyoto 611-0011, JAPAN iwashita@kyticr.kuicr.kyoto-u.ac.jp http://wwwal.kuicr.kyoto-u.ac.jp — Neat Bunching & ø-E Rotator Based on Fast Amplitude Modulation by use of Beat —

2. Neat Bunching (Velocity Compliant)

3. Local phase space Uses ToF information.

4. 3D Simulation from the Target in Solenoid 100m after the production target Bz=1T, Ø30cm Target: W ø10 x L150 100m 50GeV 100k protons

5. Time Spread at 100m (PARMSOL) 99MeV<E<101MeV ~10ns 50GeV 100k protons

6. 1D simulation — System Buncher Frequency ??

7. 1D simulation — Before the ø-E Rotator ω buncher = 2ω ø-E = 40MHz τ μ =10ns buncher@100m profile @200m single harmonic (not sawtooth) ~30%

8. Required Waveform for Velocity Compliant Bunching

9. Trigonometric Reduction (some math.)

10. Layout (Single station @100m) Four Frequencies, length:3m each. Cavities: VoltageFrequency #115 MV37.5 MHz #215 MV45.5 MHz #38.7 MV35.0 MHz #48.7 MV45.0 MHz f buncher = 40 MHz f ø-E = 20 MHz No 3D sim. result yet... But suppose the following:

11. ✕ ø-E Rotaor

12. Simple simulation results: after the Phase Rotator (CPEC)