Difference between revisions of "Collimation geometry for different beam energies"

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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]
  
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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
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=90<math>^o</math> exit port measurements=
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[[File:exit_port1.png|800px]]<br><br>
  
 
=Critical and Kicker angles=
 
=Critical and Kicker angles=
  
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[[File:Beam_up_down.png]]<br>
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[[File:Beam_up_down.png|800px]]<br>
  
 
  <math>\Theta_C = \frac{m_ec^2}{E}</math>
 
  <math>\Theta_C = \frac{m_ec^2}{E}</math>
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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 setup=
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=General collimator setup=
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[[File:minimum_energy_condition.png|800px]]
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<math>AC = 286\cdot\tan(\Theta_K)\ cm</math><br>
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<math>A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm</math>
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<math>BD = 286\cdot\tan(\Theta_C/m)\ cm</math><br>
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<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 - B_1D_1/2)}{183}</math>
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<math>FA = AB/\tan(\alpha)\ cm</math><br>
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<math>GH = (286 - FA)\cdot\tan(\alpha)\ 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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[[File:minimum_energy_condition.png]]
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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
  
 
=geometry calculation=
 
=geometry calculation=

Revision as of 22:50, 20 June 2010

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90[math]^o[/math] exit port measurements

Exit port1.png

Critical and Kicker angles

Beam up down.png

[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

Minimum energy condition.png 

[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")

Vacuum pipe collimator 0.335 2.png

how it looks 1 ([math] \Theta_c/4[/math], pipe 3")

Vacuum pipe collimator 0.168 2.png

how it looks 2 ([math] \Theta_c/4[/math], pipe 3")

Vacuum pipe collimator 168 1.png

how it looks 4 ([math] \Theta_c/2[/math], pipe (2 1/2)" and then pipe 4")

need to adjust to converter position

Vacuum pipe collimator 335 4.png


how it looks 5 ([math] \Theta_c/2[/math], box 3"x4" and then pipe 4")

need to adjust to converter position

Vacuum pipe collimator 335 5.png


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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


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