RF cavity Simple pill box cavity of length L and radius R Bessel functions: Transit time factor T < 1: Ohmic heating due to imperfect conductors: Gyorsítani csak ELEKTROMOS térrel lehet: Ez
cavity array field pattern: pipe geometry such that RF below cut-off (long and narrow) side-coupled structure in π/2-mode behaves as π-mode as seen by the beam coupling
CIRKULÁRIS GYORSÍTÓ E B B B BB p in p out = p in + p B out = B in + B Körönként gyorsul p-vel, de ugyanazon sugarú pályán marad, mert a tér is nő B-vel Bending magnet (eltérítő mágnes) DIPOL magnet
Reminder: the hurdles to 7 TeV SC cable joint resistance (sector 34 incident !) –huge precision measurement campaign –two magnets removed (~50 and ~100 nOhm) –all others now good (<4nOhm, perfect is 0.3 Ohm) Copper stabilizer splice resistance Retraining of superconducting magnets see next slides Ezio Todesco
Cavity design 3 figures of merit: (ω rf, R/L, δ skin ) ↔ (ω rf, Q, R s ) Quality factor Q = stored field energy / ohmic loss per RF oscillation volume surface area Shunt impedence R s = (voltage gain per particle) 2 / ohmic loss
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