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## RF workshop

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**RF workshop**Alvin Tollestrup Nov.14 2010 Alvin Tollestruo**With Beam. No beam comes down Left hand side.**106 electrons in a 1 micron sphere make E=1.4 GV/m Self Propagating electron swarm E Field Emission Alvin Tollestruo**Comparison of VacRF and HPRF**• 1. Same asperities for both cavities. • 2. Breakdown process very different. In the Paschen region the breakdown is determined completely by Townsend avalanche process. Physics is well known and documented. • 3. After break down, the major part of the cavity energy goes into the gas, not the electrodes. As a result, training can be very different. • 4. The gas collision frequency if very high compared to the cyclotron frequency so there is not a big effect from B. The effect of B with beam needs to be checked as there could be effects on the diffusion of the plasma from the beam transit and hence on the recovery time. • 5. Vacuum cavities have dark current. This has taught us about the cavity surface in its equilibrium condition. We haven’t found a similar tool for HPRF. • We have tried to see light when there is not break down but without success. • 6. The rest of this talk will be about the breakdown physics. This is not really what we want, but as we have no beam we hope it will teach us about some of the pertinent physics processes taking place. Alvin Tollestruo**3.9 108 photons on cathode**E/P =10.2 PMT gain 1700 times higher and averaged over 10 ns. Conservative limit is less than 1% of breakdown light Alvin Tollestruo**Details of discharge**ic[t[= V’[t] iL[t]= iL[0] +1/L Integral[V[t] iR[t]+ic[t]+iL[t]=0 Solve for iR[t] R[t]= V[t]/iR[t] V[t] from 7th order polynomial in t plus phase. See next slide Spark L R Cavity L C Alvin Tollestruo**Fitting Procedure**Find start of discharge Alvin Tollestruo**From Last two slides:**I ~ 500 at pinch R ~ 0.5 microns j~ 8 1010 A/cm2 So j2dt = 6 1021 10-9 = 6 1012 Much greater than limit given below. Arc melts electrode but field emission can’t unless asperity is very well insulated so can use many cycles Alvin Tollestruo**What happens at frequency shift?**Know C, F so calculate L L= Lc Ls/(Lc + Ls) Know L and Lc so solve for Ls Ls = mo /2pLn[ R2 /R1 ] R2 = Cavity radius so solve R1 Current Ir around 600 A. Calculate B = moIr/2p R1 P = B2 /2 mo P Vg = constant Know P2 , p R22 , P1 = 1000 psi Find the original Radius R1 g = 5/3 gives the original radius about 5 microns. Alvin Tollestruo**Discharge of the Second Kind**• 1. Plasma has - & + charges that can be separated by the field. • 2. Similar to having a losey dielectric. The charges move back and forth making inelastic collisions. This generates the R. But it is also non uniform. Div[ P ] = r. • Total df/f C V = 5 1012 electrons • Rs = 4.0 K and spark current ~60 A. Too small to pinch. __ + E Alvin Tollestruo**Box Cavity B=0**Alvin Tollestruo**What is wrong here?**Alvin Tollestruo