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| − | =Critical angle= | + | =general setup= |
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| − | <math>\Theta = \frac{m_ec^2}{E_{beam}} = \frac{0.511\ MeV}{25\ MeV} = 1.17\ ^o</math><br>
| + | [[File:minimum_energy_condition.png]] |
| | | | |
| | + | =geometry calculation= |
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| − | =Kicker angle and displacements on the wall= | + | {| border="1" cellpadding="20" cellspacing="0" |
| − | | + | |- |
| − | ==1 foot = 30.48 cm==
| + | !width=40|beam energy |
| − | | + | !width=40|collimator diameter |
| − | ==accelerator's side wall== | + | |<math>\Theta_{critical}</math> |
| − | | + | |<math>\Theta_{kicker}</math> |
| − | <math>\Delta = 286\ cm\ *\ \tan(1.17^o) = 5.84\ cm</math>
| + | |<math>\alpha_{collimator}</math> |
| − | | + | |<math>AC</math> |
| − | <math>x^2+x^2 = 5.84^2\ cm \ \ \Rightarrow\ \ x = 4.13\ cm</math>
| + | |<math>A_1C_1</math> |
| − | | + | |<math>BD</math> |
| − | <math>\Delta = 4.13\ cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{2.36}{286}\right) = 0.47\ ^o</math>
| + | |<math>B_1D_1</math> |
| − | | + | |<math>FA</math> |
| − | ==detector's side wall==
| + | |<math>GH</math> |
| − | | + | |- |
| − | <math>\Delta = (286\ cm + 183\ cm)\ *\ \tan(0.67^o) = 5.48\ cm</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 |
| − | <math>\Delta = (286\ cm + 183\ cm)\ *\ \tan(0.47^o) = 3.85\ cm</math>
| + | |- |
| − | | + | |25 MeV||<math>\frac{\Theta_{critical}}{3}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.63^o</math> |
| − | =Off-axis collimation geometry=
| + | |4.13 cm||6.78 cm||1.95 cm||3.20 cm||111 cm||4.99 cm |
| − | | + | |- |
| − | [[File:beam_up_down5.png]]<br>
| + | |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 |
| − | =Vacuum pipe location (<math> \Theta_c/2</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==
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| − | | |
| − | <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>)=
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| − | | |
| − | ==collimator location==
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| − | | |
| − | 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...=
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| − | ==how it looks (<math> \Theta_c/2</math>, pipe 3")==
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| − | | |
| − | [[File:vacuum_pipe_collimator_0.335_2.png]]<br>
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| − | | |
| − | ==how it looks 1 (<math> \Theta_c/4</math>, pipe 3")==
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| − | | |
| − | [[File:vacuum_pipe_collimator_0.168_2.png]]<br>
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| − | | |
| − | ==how it looks 2 (<math> \Theta_c/4</math>, pipe 3")==
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| − | | |
| − | [[File:vacuum_pipe_collimator_168_1.png]]<br>
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| − | ==how it looks 4 (<math> \Theta_c/2</math>, pipe (2 1/2)" and then pipe 4")==
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| − | | |
| − | need to adjust to converter position
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| − | [[File:vacuum_pipe_collimator_335_4.png]]<br>
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| − | | |
| − | | |
| − | ==how it looks 5 (<math> \Theta_c/2</math>, box 3"x4" and then pipe 4")==
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| − | | |
| − | need to adjust to converter position
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| − | | |
| − | [[File:vacuum_pipe_collimator_335_5.png]]<br>
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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] |
