Collimation geometry for different beam energies

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90[math]^o[/math] exit port measurements

Exit port1.png

Critical and Kicker angles

Beam up down.png

[math]\Theta_C = \frac{m_ec^2}{E}[/math]
[math]\Theta_K = tan^{-1}\left(\frac{x_1}{286}\right)
                = tan^{-1}\left(\frac{1}{\sqrt{2}}\ \frac{\Delta_1}{286}\right)
                = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right)[/math]

Geometry calculation

Minimum energy condition.png

beam energy collimator diameter [math]\Theta_C[/math] [math]\Theta_K[/math] [math]\alpha[/math] [math]AC[/math] [math]A_1C_1[/math] [math]BD[/math] [math]B_1D_1[/math] [math]A_1D_1[/math] [math]FA[/math] [math]GH[/math]
25 MeV [math]\frac{\Theta_C}{2}[/math] [math]1.17^o[/math] [math]0.83^o[/math] [math]2.03^o[/math] 4.13 cm 6.78 cm 2.92 cm 4.79 cm 9.18 cm > 8.73 cm 75 cm 7.49 cm > 5.08 cm
25 MeV [math]\frac{\Theta_C}{3}[/math] [math]1.17^o[/math] [math]0.83^o[/math] [math]1.63^o[/math] 4.13 cm 6.78 cm 1.95 cm 3.20 cm 8.37 cm < 8.73 cm 111 cm 4.99 cm < 5.08 cm
25 MeV [math]\frac{\Theta_C}{4}[/math] [math]1.17^o[/math] [math]0.83^o[/math] [math]1.43^o[/math] 4.13 cm 6.78 cm 1.46 cm 2.40 cm 7.98 cm < 8.73 cm 136 cm 3.74 cm < 5.08 cm
44 MeV [math]\frac{\Theta_C}{2}[/math] [math]0.67^o[/math] [math]0.47^o[/math] [math]1.16^o[/math] 2.35 cm 3.85 cm 1.66 cm 2.72 cm 5.21 cm < 8.73 cm 75 cm 4.26 cm < 5.08 cm
44 MeV [math]\frac{\Theta_C}{3}[/math] [math]0.67^o[/math] [math]0.47^o[/math] [math]0.93^o[/math] 2.35 cm 3.85 cm 1.11 cm 1.82 cm 4.76 cm < 8.73 cm 111 cm 2.84 cm < 5.08 cm
44 MeV [math]\frac{\Theta_C}{4}[/math] [math]0.67^o[/math] [math]0.47^o[/math] [math]0.81^o[/math] 2.35 cm 3.85 cm 0.83 cm 1.36 cm 4.53 cm < 8.73 cm 136 cm 2.13 cm < 5.08 cm

Some more pictures

how it looks ([math] \Theta_c/2[/math], pipe 3")

Vacuum pipe collimator 0.335 2.png

how it looks 1 ([math] \Theta_c/4[/math], pipe 3")

Vacuum pipe collimator 0.168 2.png

how it looks 2 ([math] \Theta_c/4[/math], pipe 3")

Vacuum pipe collimator 168 1.png

how it looks 4 ([math] \Theta_c/2[/math], pipe (2 1/2)" and then pipe 4")

need to adjust to converter position

Vacuum pipe collimator 335 4.png


how it looks 5 ([math] \Theta_c/2[/math], box 3"x4" and then pipe 4")

need to adjust to converter position

Vacuum pipe collimator 335 5.png


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