Difference between revisions of "Geometry (25 MeV LINAC exit port)"

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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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=Minimum accelerator energy to run experiment=
 
  
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[[File:min_energy.png|1000px]]
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=general setup=
  
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The minimum energy of accelerator (MeV) is limited by fitting the collimator (<math>r_2</math>) into the hole (<math>R = 8.73\ cm</math>)
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[[File:minimum_energy_condition.png]]
  
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<math>x_2 + r_2 = R</math>
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=geometry calculation=
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1) Assuming the collimator diameter is <math>\Theta_C</math>:
 
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<math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
 
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      \frac{1}{2}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 33.1\ MeV  </math>
 
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2) Assuming the collimator diameter is <math>\Theta_C/2</math>:
 
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<math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
 
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      \frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{2}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 26.3\ MeV  </math>
 
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3) Assuming the collimator diameter is <math>\Theta_C/4</math>:
 
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<math>\frac{1}{\sqrt{2}}\ (286+183)\ \tan\left(\frac{0.511}{E_{min}}\right) +
 
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      \frac{1}{2}\ (286+183)\ \tan\left(\frac{1}{4}\ \frac{0.511}{E_{min}}\right) = 8.73 \Rightarrow E_{min} = 22.8\ MeV  </math>
 
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4) In general:
 
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[[File:plot_energy_collimatorsize.jpeg]]
 
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=25 MeV geometry=
 
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==geometry calculation==
 
  
 
{| border="1" cellpadding="20" cellspacing="0"
 
{| border="1" cellpadding="20" cellspacing="0"
 
|-
 
|-
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!width="40"|collimator diameter
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!width=40|beam energy
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!width=40|collimator diameter
 
|<math>\Theta_{critical}</math>
 
|<math>\Theta_{critical}</math>
 
|<math>\Theta_{kicker}</math>
 
|<math>\Theta_{kicker}</math>
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|<math>BD</math>
 
|<math>BD</math>
 
|<math>B_1D_1</math>
 
|<math>B_1D_1</math>
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|<math>FA</math>
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|<math>GH</math>
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|-
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|25 MeV||<math>\frac{\Theta_{critical}}{2}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>2.03^o</math>
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|4.13 cm||6.78 cm||2.92 cm||4.79 cm||75 cm||7.49 cm
 
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|<math>\frac{\Theta_{critical}}{2}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>2.03^o</math>||4.13||6.78||2.92||4.79
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|25 MeV||<math>\frac{\Theta_{critical}}{3}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.63^o</math>
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|4.13 cm||6.78 cm||1.95 cm||3.20 cm||111 cm||4.99 cm
 
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|<math>\frac{\Theta_{critical}}{4}</math>||<math>1.17^o</math>||<math>0.82^o</math>||<math>1.43^o</math>||4.13||6.78||1.46||2.40
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|25 MeV||<math>\frac{\Theta_{critical}}{4}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.43^o</math>
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|4.13 cm||6.78 cm||1.46 cm||2.40 cm||136 cm||3.74 cm
 
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|-
 
|}
 
|}
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==geometry 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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[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]

Latest revision as of 17:50, 20 June 2010

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general setup

Minimum energy condition.png

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]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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