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Comments on Injecting into 1.3 GHz Linac and Accelerating to 20 GeV. After the second REMEX we need to accelerate from 2.5 GeV to 20 GeV. Let us assume that we will use a Tesla-like linac structure for the acceleration. Parameters shown in table.
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Comments on Injecting into 1.3 GHz Linac and Accelerating to 20 GeV • After the second REMEX we need to accelerate from 2.5 GeV to 20 GeV. • Let us assume that we will use a Tesla-like linac structure for the acceleration. Parameters shown in table. • We will need 175 “Cryostats” worth of Linac to accelerate beam to 20 GeV. • Obviously we will recirculate, but this require more than 3 times.
Icool Simulation Parameters • The table shows the main parameters describing the muon beam in the Icool simulation. • A 90° phase advance FODO lattice implies constant K1 for the quadrupoles. • Since The quad gradient must increase with p. We change the gradient in discrete sections. This probably is not possible to do
More Model Assumptions • The RF cavities in a cryostat module are approximated by a 72 cell cavity, each of which is phased with the reference particle. The cavity cells cannot be individually phased and the cavity length is longer than the cavity wavelength. (Is it a traveling wave cavity?) • Individual RF cells are assumed to be pillboxes. • RF cavity iris radius is 3.4 cm. Particles outside of that are lost. • Muons more than 30 ns from reference particle are killed.
Energy vs. Longitudinal Position (sort of) Changed RF Frequency from 1.3 GHz to 1.35 GHz Here!
Stacking Ring at 20 GeV - Layout Arc dipoles $Lb=150; => 150 cm $Ndip=(6*5)*6; => 180 $ang=360/$Ndip; => 2 deg $E=20000; => 20000 MeV $B=$PI*$Hr*$ang/(180*$Lb); => 15.6 kGauss $Rdip=$Lb/($PI*$ang/180); => 43 m $Lring=504 m