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Critical and Kicker angles
[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]
General collimator setup
[math]AC = 286\cdot\tan(\Theta_K)\ cm[/math]
[math]A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm[/math]
[math]BD = 286\cdot\tan(\Theta_C/m)\ cm[/math]
[math]B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm[/math]
[math]\alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183}[/math]
[math]FA = AB\ /\ \tan(\alpha)\ cm[/math]
[math]GH = (286 - FA)\cdot\tan(\alpha)\ cm[/math]
geometry calculation
| beam energy
|
collimator diameter
|
[math]\Theta_{critical}[/math]
|
[math]\Theta_{kicker}[/math]
|
[math]\alpha_{collimator}[/math]
|
[math]AC[/math]
|
[math]A_1C_1[/math]
|
[math]BD[/math]
|
[math]B_1D_1[/math]
|
[math]A1D1[/math]
|
[math]FA[/math]
|
[math]GH[/math]
|
| 25 MeV |
[math]\frac{\Theta_{critical}}{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_{criicalt}}{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_{critical}}{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_{critical}}{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_{critical}}{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_{critical}}{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")
how it looks 1 ([math] \Theta_c/4[/math], pipe 3")
how it looks 2 ([math] \Theta_c/4[/math], pipe 3")
how it looks 4 ([math] \Theta_c/2[/math], pipe (2 1/2)" and then pipe 4")
need to adjust to converter position
how it looks 5 ([math] \Theta_c/2[/math], box 3"x4" and then pipe 4")
need to adjust to converter position
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