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| − | =Critical angle= | + | =general setup= |
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| − | <math>\Theta_C = \frac{m_ec^2}{E_{beam}} = \frac{0.511\ MeV}{25\ MeV} = 1.17\ ^o</math><br>
| + | [[File:minimum_energy_condition.png]] |
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| − | =Kicker angle= | + | =geometry calculation= |
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| − | <math>\Delta_1 = 286\ cm\ *\ \tan(1.17^o) = 5.84\ cm</math> <br>
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| − | <math>x^2+x^2 = 5.84^2\ cm \ \ \Rightarrow\ \ x = 4.13\ cm</math> <br>
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| − | <math>\Delta_2 = 4.13\ cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{2.36}{286}\right) = 0.827\ ^o</math><br>
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| − | =Vacuum pipe location (<math> \Theta_c/2</math>)=
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| − | ==collimator location==
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| − | 1) center position:
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| − | <math>286\ cm \cdot \tan (0.827) = 4.13\ cm</math> (wall 1)<br>
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| − | <math>(286 + 183)\ cm \cdot \tan (0.827) = 6.77\ cm</math> (wall 2)
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| − | 2) collimator diameter:
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| − | <math>286\ cm \cdot \tan (1.17/2) = 2.92\ cm</math> (wall 1)<br>
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| − | <math>(286 + 183)\ cm \cdot \tan (1.17/2) = 4.79\ cm</math> (wall 2)
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| − | ==collimator critical angle==
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| − | <math> AB = AC - BD/2 = (4.13 - 2.92/2)\ cm = 2.67\ cm </math><br>
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| − | <math> A_1D_1 = A_1C_1 + B_1D_1/2 = (6.77 + 4.79/2)\ cm = 9.165\ cm </math><br>
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| − | <math>\bigtriangleup BED_1 \Rightarrow \tan (\alpha) = \frac{(9.165 - 2.67)\ cm}{183\ cm} \Rightarrow \alpha = 2.033^o</math>:
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| − | ==minimal distance from the wall==
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| − | <math>\bigtriangleup FAB \Rightarrow FA = \frac{AB}{\tan (2.033^o)} = \frac{2.67\ cm}{\tan (2.033^o)} = 75\ cm </math>
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| − | =Vacuum pipe location (<math> \Theta_c/4</math>)=
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| − | | |
| − | ==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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| − | <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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| − | 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...=
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| − | ==how it looks 1 (<math> \Theta_c/2</math>, box 3"x4" and then pipe 4")==
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| − | [[File:vacuum_pipe_collimator_.png]]<br>
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| − | ==how it looks 2 (<math> \Theta_c/4</math>, box 3"x4" and then pipe 4")==
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| − | [[File:vacuum_pipe_collimator_.png]]<br>
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| | + | {| border="1" cellpadding="20" cellspacing="0" |
| | + | |- |
| | + | !width=40|beam energy |
| | + | !width=40|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>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||75 cm||7.49 cm |
| | + | |- |
| | + | |25 MeV||<math>\frac{\Theta_{critical}}{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||111 cm||4.99 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||136 cm||3.74 cm |
| | + | |- |
| | + | |} |
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| | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] | | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] |
