<p>Original magic geometry with the superconducting magnetic field Dr. Craig Donaldson 21-09-2015 1. Comparing original MAGIC sim Polar Vs Cylindrical coordinates at Alpha = 1.65 The cylindrical coordinate system is needed in order to import a magnetic field. So I need to be sure the magic sim is still the same as before and geometry acts the same. So here is the comparison between the two simulations. Polar coordinated: (R,Theta,Z) , Cylindrical coordinates: (Z,R,Theta) Pz</p><p>Alpha:</p><p>Here polar coordinates is plotted in RED, cylindrical coordinates in BLUE Pz (%) Alpha (%) Radius (%) Alpha Polar 8.50 11.24 55 1.66 Cylindrical 8.50 11.24 55 1.66 2. Comparing original MAGIC sim Polar Vs Cylindrical coordinates at Alpha = 1.2 The alpha value is set at 1.2 here. Still comparing Polar vs Cylindrical coordinates Pz</p><p>Alpha</p><p>Pz (%) Alpha (%) Radius (%) Alpha Polar 14.1 22.82 94 1.2 Cylindrical 14.1 22.82 94 1.2 3. Comparing cylindical MAGIC sim old coil VS imported magnetic field at Alpha = 1.2 In this section I will compare the old magic magnetic field setup VS the magnetic field imported from text file from the superconducting magnet.</p><p>Fig. Comparison of superconducting vs original magnetic field 3. Comparing solenoids VS superconducting field at Alpha = 1.2 The alpha value is set at 1.2 here and we are comparing the original magnetic field vs the superconducting magnetic field Pz</p><p>Alpha</p><p>Pz (%) Alpha (%) Radius (%) Alpha Solenoid 14.27 23.52 1.2 Superconducting 92.40 117.06 2.315</p><p>Trajectories of Solenoid vs Superconducting simulations Region 1 Solenoid</p><p>Superconducting Region 2 Solenoid</p><p>Superconducting Region 3 Solenoid</p><p>Superconducting 4. Change the cathode-anode spacing The alpha value is set at 1.2 here and we are comparing the original magnetic field vs the superconducting magnetic field</p><p>Real gap Change gap Pz Alpha How much is Reflecting 3.5 -1 N/A N/A 7.7% 4.5 0 89.6% 114% No 5.5 +1 44.64% 64.47% No 6.5 +2 N/A N/A 7.7% 7.5 +3 N/A N/A 23%</p><p>Here is the Pz plot to compare cathode-anode gap of 0mm and +1mm 5. Change the position of the superconducting magnetic field Shifting the position of the magnetic field will increase/decrease the negative magnetic field the electron beam travels through and shifts the positon of the cusp. This is based from the previous simulation with the cathode-anode gap +1mm.</p><p>Shift Z Pz (%)  (%) Ave.  +7 mm 87.35 110.38 2.404 +4 mm 56.09 76.91 1.718 +2 mm 50.43 70.72 1.611 0 44.64 64.47 1.5 -2 mm 38.15 58.32 1.406 -4 mm 32.47 51.84 1.297 -7 mm 23.65 41.66 1.147 -8 mm 20.22 38.43 1.098 -9 mm 18.30 35.17 1.052 -10 mm 16.00 32.00 1.00 -11 mm 13.80 21.12 0.985 -12 mm 11.88 26.73 0.898 -13 mm 10.14 24.20 0.843 -14 mm 9.42 24.57 0.794 6. Change the whole anode radius This change is based on the solenoid position -7mm result. I use this result because the average alpha is 1.2 roughly.</p><p>What I am doing is is moving the anode nose up or down in radius. The entire anode moves</p><p>Anode R change Pz (%) Alpha (%) R (%) Alpha +0.5 mm 66.53 92.03 130.8 1.751 +0.25 mm 25.62 43.09 98.70 1.159 0 23.65 41.66 1.147 -0.25 mm 22.41 40.25 100 1.138 -0.5 mm 21.48 38.48 102.07 1.131 -0.75 mm 20.68 36.76 105.76 1.124 -1.0 mm 20.43 35.29 109.40 1.122</p><p>7. Change the anode nose radius</p><p>Based on the anode = 0 result. Anode R change Pz (%) Alpha (%) R (%) Alpha +1.5 mm 24.99 43.46 1.167 +1.0 mm 24.91 43.71 1.165 +0.5 24.61 43.28 1.158 0 mm 23.65 41.66 1.147 -0.5 mm 22.44 40.19 1.123 -1.0 mm 21.13 37.48 1.123 -1.5 mm 20.23 35.72 1.123 The anode nose -1.5mm gives the best result. Use this for future optimisations Based on the anode = -1.0 result. Anode R change Pz (%) Alpha (%) R (%) Alpha +1.5 mm +1.0 mm +0.5 0 mm 20.43 35.29 109.40 1.122 -0.5 mm 26.43 44.21 1.208 -1.0 mm 38.11 58.61 1.374 -1.5 mm 64.22 85.71 1.813</p><p>6. Change the top focusing electrode This change is based on the solenoid position -7mm result. I use this result because the average alpha is 1.2 roughly.</p><p>What I am doing is changing the geometry of the top focusing electrode. R1 = 7.4mm is the original value.</p><p>R1 change Pz (%) Alpha (%) R (%) Alpha 7.6 mm 24.67 41.09 117.67 1.178 7.5 mm 21.12 37.22 113.25 1.137 7.4 mm 23.65 41.66 1.147 7.3 mm 24.31 42.84 98.51 1.153 7.2 mm 26.68 46.02 97.27 1.176</p><p>8. Change the emitted voltage 9. Change the emitted current</p><p>10. Compare different magnetic field profiles Here I change the negative magnetic field at the cathode to see if the electron beam will improve. The B-field is shown in the graph below.</p><p>Bz min = 3.5mT Bz min = 3.75mT Bz min = 4.0mT Shift Z Pz (%)  (%) Ave.  Pz (%)  (%) Ave.  Pz (%)  (%) Ave.  +7 mm 87.35 110.38 2.404 +4 mm 56.09 76.91 1.718 +2 mm 50.43 70.72 1.611 0 44.64 64.47 1.5 50.66 70.38 1.671 70.68 88.77 2.154 -2 mm 38.15 58.32 1.406 43.88 63.25 1.540 58.51 76.85 1.879 -4 mm 32.47 51.84 1.297 37.29 57.27 1.415 48.84 67.23 1.688 -6 mm 23.65 41.66 1.147 30.97 49.62 1.302 39.38 57.62 1.503 -8 mm 20.22 38.43 1.098 24.60 42.53 1.188 24.60 48.96 1.348 -9 mm 18.30 35.17 1.052 -10 mm 16.00 32.00 1.00 18.76 35.50 1.076 23.99 40.96 1.206 -11 mm 13.80 21.12 0.985 -12 mm 11.88 26.73 0.898 13.62 28.42 0.966 17.39 33.01 1.076 -13 mm 10.14 24.20 0.843 -14 mm 9.42 24.57 0.794 9.69 23.51 0.847 12.17 25.95 0.948 </p>