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| | =90<math>^o</math> exit port measurements= | | =90<math>^o</math> exit port measurements= |
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| − | [[File:exit_port1.png]]<br><br> | + | [[File:exit_port1.png|800px]]<br><br> |
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| | =Critical and Kicker angles= | | =Critical and Kicker angles= |
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| | = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right)</math><br> | | = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right)</math><br> |
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| − | =general collimator setup= | + | =General collimator setup= |
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| − | [[File:minimum_energy_condition.png]] | + | [[File:minimum_energy_condition.png|800px]] |
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| | <math>AC = 286\cdot\tan(\Theta_K)\ cm</math><br> | | <math>AC = 286\cdot\tan(\Theta_K)\ cm</math><br> |
| | <math>A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm</math> | | <math>A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm</math> |
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| − | <math>BD = 286\cdot\tan(\frac{\Theta_C}{m})\ cm</math><br> | + | <math>BD = 286\cdot\tan(\Theta_C/m)\ cm</math><br> |
| − | <math>B_1D_1 = (286 + 183)\cdot\tan(\frac{\Theta_C}{m})\ cm</math><br> | + | <math>B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm</math><br> |
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| − | <math>\alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - BD/2)}{183}</math> | + | <math>\alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183}</math> |
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| − | =Vacuum pipe location (<math> \Theta_c/2</math>)=
| + | <math>FA = AB/\tan(\alpha)\ cm</math><br> |
| − | | + | <math>GH = (286 - FA)\cdot\tan(\alpha)\ cm</math> |
| − | ==collimator location==
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| − | | |
| − | 1) center position:
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| − | | |
| − | <math>286\ cm \cdot \tan (0.47) = 2.35\ cm</math> (wall 1)<br>
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| − | <math>(286 + 183)\ cm \cdot \tan (0.47) = 3.85\ cm</math> (wall 2)
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| − | | |
| − | 2) collimator diameter:
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| − |
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| − | <math>\Theta_c/2 = 0.67^o/2 = 0.335^o</math>
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| − | | |
| − | <math>286\ cm \cdot \tan (0.335) = 1.67\ cm</math> (wall 1)<br>
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| − | <math>(286 + 183)\ cm \cdot \tan (0.335) = 2.74\ cm</math> (wall 2)
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| − | | |
| − | ==collimator critical angle== | |
| − | | |
| − | <math> AB = AC - BD/2 = (2.35 - 1.67/2)\ cm = 1.52\ cm </math><br>
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| − | <math> A_1D_1 = A_1C_1 + B_1D_1/2 = (3.85 + 2.74/2)\ cm = 5.22\ cm </math><br>
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| − | <math> ED_1 = A_1D_1 - A_1E = (5.22 - 1.52)\ cm = 3.70\ cm </math>
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| − |
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| − | from triangle <math>BED_1</math>:
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| − | | |
| − | <math> \tan (\alpha) = \frac{3.70\ cm}{183\ cm} \Rightarrow \alpha = 1.16^o</math>
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| − | | |
| − | ==minimal distance from the wall==
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| − | | |
| − | from triangle FAB:
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| − | | |
| − | <math> FA = \frac{AB}{\tan (1.16^o)} = \frac{1.52\ cm}{\tan (1.16^o)} = 75\ cm </math>
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| − | | |
| − | | |
| − | | |
| − | =Vacuum pipe location (<math> \Theta_c/4</math>)=
| |
| − | | |
| − | ==collimator location==
| |
| − | | |
| − | 1) center position:
| |
| − | | |
| − | <math>286\ cm \cdot \tan (0.47) = 2.35\ cm</math> (wall 1)<br>
| |
| − | <math>(286 + 183)\ cm \cdot \tan (0.47) = 3.85\ cm</math> (wall 2)
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| − | | |
| − | 2) collimator diameter:
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| − |
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| − | <math>\Theta_c/4 = 0.67^o/4 = 0.168^o</math>
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| − | | |
| − | <math>286\ cm \cdot \tan (0.168) = 0.84\ cm</math> (wall 1)<br>
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| − | <math>(286 + 183)\ cm \cdot \tan (0.168) = 1.38\ cm</math> (wall 2)
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| − | | |
| − | ==collimator critical angle==
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| − | | |
| − | <math> AB = AC - BD/2 = (2.35 - 0.84/2)\ cm = 1.93\ cm </math><br>
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| − | <math> A_1D_1 = A_1C_1 + B_1D_1/2 = (3.85 + 1.38/2)\ cm = 4.54\ cm </math><br>
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| − | <math> ED_1 = A_1D_1 - AB = (4.54 - 1.93)\ cm = 2.61\ cm </math>
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| − |
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| − | from triangle <math>BED_1</math>:
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| − | | |
| − | <math> \tan (\alpha) = \frac{2.61\ cm}{183\ cm} \Rightarrow \alpha = 0.82^o</math>
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| − | | |
| − | ==minimal distance from the wall==
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| − | | |
| − | from triangle FAB:
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| − | | |
| − | <math> FA = \frac{AB}{\tan (0.82^o)} = \frac{1.93\ cm}{\tan (0.82^o)} = 135\ cm </math>
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| | =Funny pictures...= | | =Funny pictures...= |
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90[math]^o[/math] exit port measurements
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]
Funny 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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