Collimation geometry for different beam energies
90[math]\displaystyle{ ^o }[/math] exit port measurements
Critical and Kicker angles
[math]\displaystyle{ \Theta_C = \frac{m_ec^2}{E} }[/math]
[math]\displaystyle{ \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]
General collimator setup
[math]\displaystyle{ AC = 286\cdot\tan(\Theta_K)\ cm }[/math]
[math]\displaystyle{ A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm }[/math]
[math]\displaystyle{ BD = 286\cdot\tan(\Theta_C/m)\ cm }[/math]
[math]\displaystyle{ B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm }[/math]
[math]\displaystyle{ \alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183} }[/math]
[math]\displaystyle{ FA = AB\ /\ \tan(\alpha)\ cm }[/math]
[math]\displaystyle{ GH = (286 - FA)\cdot\tan(\alpha)\ cm }[/math]
Geometry calculation
| beam energy | collimator diameter | [math]\displaystyle{ \Theta_{critical} }[/math] | [math]\displaystyle{ \Theta_{kicker} }[/math] | [math]\displaystyle{ \alpha_{collimator} }[/math] | [math]\displaystyle{ AC }[/math] | [math]\displaystyle{ A_1C_1 }[/math] | [math]\displaystyle{ BD }[/math] | [math]\displaystyle{ B_1D_1 }[/math] | [math]\displaystyle{ A_1D_1 }[/math] | [math]\displaystyle{ FA }[/math] | [math]\displaystyle{ GH }[/math] |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 25 MeV | [math]\displaystyle{ \frac{\Theta_{critical}}{2} }[/math] | [math]\displaystyle{ 1.17^o }[/math] | [math]\displaystyle{ 0.83^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \frac{\Theta_{criicalt}}{3} }[/math] | [math]\displaystyle{ 1.17^o }[/math] | [math]\displaystyle{ 0.83^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \frac{\Theta_{critical}}{4} }[/math] | [math]\displaystyle{ 1.17^o }[/math] | [math]\displaystyle{ 0.83^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \frac{\Theta_{critical}}{2} }[/math] | [math]\displaystyle{ 0.67^o }[/math] | [math]\displaystyle{ 0.47^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \frac{\Theta_{critical}}{3} }[/math] | [math]\displaystyle{ 0.67^o }[/math] | [math]\displaystyle{ 0.47^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \frac{\Theta_{critical}}{4} }[/math] | [math]\displaystyle{ 0.67^o }[/math] | [math]\displaystyle{ 0.47^o }[/math] | [math]\displaystyle{ 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]\displaystyle{ \Theta_c/2 }[/math], pipe 3")
how it looks 1 ([math]\displaystyle{ \Theta_c/4 }[/math], pipe 3")
how it looks 2 ([math]\displaystyle{ \Theta_c/4 }[/math], pipe 3")
how it looks 4 ([math]\displaystyle{ \Theta_c/2 }[/math], pipe (2 1/2)" and then pipe 4")
need to adjust to converter position
how it looks 5 ([math]\displaystyle{ \Theta_c/2 }[/math], box 3"x4" and then pipe 4")
need to adjust to converter position
