Collimation geometry for different beam energies: Difference between revisions

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[[File:minimum_energy_condition.png|800px]]
[[File:minimum_energy_condition.png|800px]]
<math>AC = 286\cdot\tan(\Theta_K)\ cm</math><br>
<math>A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm</math>
<math>BD = 286\cdot\tan(\Theta_C/m)\ cm</math><br>
<math>B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm</math><br>
<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><br>
<math>GH = (286 - FA)\cdot\tan(\alpha)\ cm</math>


=Geometry calculation=
=Geometry calculation=

Revision as of 23:03, 20 June 2010

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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

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



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