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

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=Critical angle=
+
=general setup=
  
<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]]
  
=Kicker angle=
+
=geometry calculation=
 
 
  <math>\Delta_1 = 286\ cm\ *\ \tan(1.17^o) = 5.84\ cm</math> <br>
 
  <math>x^2+x^2 = 5.84^2\ cm \ \ \Rightarrow\ \  x = 4.13\ cm</math> <br>
 
  <math>\Delta_2 = 4.13\ cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{2.36}{286}\right) = 0.827\ ^o</math><br>
 
 
 
=Vacuum pipe location (<math> \Theta_c/2</math>)=
 
 
 
==collimator location==
 
 
 
1) center position:
 
 
 
  <math>286\ cm \cdot \tan (0.827) = 4.13\ cm</math>  (wall 1)<br>
 
  <math>(286 + 183)\ cm \cdot \tan (0.827) = 6.77\ cm</math>  (wall 2)
 
 
 
2) collimator diameter:
 
 
 
  <math>286\ cm \cdot \tan (1.17/2) = 2.92\ cm</math>  (wall 1)<br>
 
  <math>(286 + 183)\ cm \cdot \tan (1.17/2) = 4.79\ cm</math>  (wall 2)
 
 
 
==collimator critical angle==
 
 
 
  <math> AB = AC - BD/2 = (2.35 - 1.67/2)\ cm = 1.52\ cm </math><br>
 
  <math> A_1D_1 = A_1C_1 + B_1D_1/2 = (3.85 + 2.74/2)\ cm = 5.22\ cm </math><br>
 
  <math> ED_1 = A_1D_1 - A_1E = (5.22 - 1.52)\ cm = 3.70\ cm </math>
 
 
 
from triangle <math>BED_1</math>:
 
 
 
  <math> \tan (\alpha) = \frac{3.70\ cm}{183\ cm} \Rightarrow \alpha = 1.16^o</math>
 
 
 
==minimal distance from the wall==
 
 
 
from triangle FAB:
 
 
 
  <math> FA = \frac{AB}{\tan (1.16^o)} = \frac{1.52\ cm}{\tan (1.16^o)} = 75\ cm </math>
 
 
 
=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)
 
 
 
2) collimator diameter:
 
 
 
  <math>\Theta_c/4 = 0.67^o/4 = 0.168^o</math>
 
 
 
  <math>286\ cm \cdot \tan (0.168) = 0.84\ cm</math>  (wall 1)<br>
 
  <math>(286 + 183)\ cm \cdot \tan (0.168) = 1.38\ cm</math>  (wall 2)
 
 
 
==collimator critical angle==
 
 
 
  <math> AB = AC - BD/2 = (2.35 - 0.84/2)\ cm = 1.93\ cm </math><br>
 
  <math> A_1D_1 = A_1C_1 + B_1D_1/2 = (3.85 + 1.38/2)\ cm = 4.54\ cm </math><br>
 
  <math> ED_1 = A_1D_1 - AB = (4.54 - 1.93)\ cm = 2.61\ cm </math>
 
 
 
from triangle <math>BED_1</math>:
 
 
 
  <math> \tan (\alpha) = \frac{2.61\ cm}{183\ cm} \Rightarrow \alpha = 0.82^o</math>
 
 
 
==minimal distance from the wall==
 
 
 
from triangle FAB:
 
 
 
  <math> FA = \frac{AB}{\tan (0.82^o)} = \frac{1.93\ cm}{\tan (0.82^o)} = 135\ cm </math>
 
 
 
=Funny pictures...=
 
 
 
==how it looks (<math> \Theta_c/2</math>, pipe 3")==
 
 
 
[[File:vacuum_pipe_collimator_0.335_2.png]]<br>
 
 
 
==how it looks 1 (<math> \Theta_c/4</math>, pipe 3")==
 
 
 
[[File:vacuum_pipe_collimator_0.168_2.png]]<br>
 
 
 
==how it looks 2 (<math> \Theta_c/4</math>, pipe 3")==
 
 
 
[[File:vacuum_pipe_collimator_168_1.png]]<br>
 
 
 
==how it looks 4 (<math> \Theta_c/2</math>, pipe (2 1/2)" and then pipe 4")==
 
 
 
need to adjust to converter position
 
 
 
[[File:vacuum_pipe_collimator_335_4.png]]<br>
 
 
 
 
 
==how it looks 5 (<math> \Theta_c/2</math>, box 3"x4" and then pipe 4")==
 
 
 
need to adjust to converter position
 
 
 
[[File:vacuum_pipe_collimator_335_5.png]]<br>
 
  
 +
{| 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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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 Θcritical Θkicker αcollimator AC A1C1 BD B1D1 FA GH
25 MeV Θcritical2 1.17o 0.83o 2.03o 4.13 cm 6.78 cm 2.92 cm 4.79 cm 75 cm 7.49 cm
25 MeV Θcritical3 1.17o 0.83o 1.63o 4.13 cm 6.78 cm 1.95 cm 3.20 cm 111 cm 4.99 cm
25 MeV Θcritical4 1.17o 0.83o 1.43o 4.13 cm 6.78 cm 1.46 cm 2.40 cm 136 cm 3.74 cm


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