Difference between revisions of "Geometry (44 Mev LINAC exit port)"

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=Some measurements of 90 degree exit port=
+
=Some measurements of 90 experimental degree exit port=
 
[[File:exit_port1.png]]<br><br>
 
[[File:exit_port1.png]]<br><br>
  
=Critical angle calculation=
+
=Critical angle and displacement calculations=
 
<math>\Theta = \frac{m_ec^2}{E_{beam}} = \frac{0.511\ MeV}{44\ MeV} = 0.67\ ^o</math><br><br>
 
<math>\Theta = \frac{m_ec^2}{E_{beam}} = \frac{0.511\ MeV}{44\ MeV} = 0.67\ ^o</math><br><br>
 +
<math>\Delta = 286cm\ *\ \tan(0.67^o) = 3.34cm</math><br><br>
  
=Beam displacement=
+
=Kicker angle and displacement calculations=
<math>\Delta = 285.75cm\ *\ \tan(0.67^o) = 3.34cm</math><br><br>
+
<math>2*x^2 = 3.34 cm \ \ \Rightarrow\ \ \x = 2.36 cm</math><br><br>
 +
<math>\Delta = 2.36 cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{2.36}{286}\right) = 0.95\ ^o</math><br><br>
  
 
=Off-axis collimation geometry=
 
=Off-axis collimation geometry=
 
[[File:beam_up_down1.png]]<br><br>
 
[[File:beam_up_down1.png]]<br><br>
 
=Off-axis calculation of critical angle =
 
1) <math>\Delta = 3.34 cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{3.34}{285.75}\right) = 0.67\ ^o</math><br><br>
 
2) <math>\Delta = 4.72 cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{4.72}{285.75}\right) = 0.95\ ^o</math><br><br>
 

Revision as of 05:16, 14 May 2010

Some measurements of 90 experimental degree exit port

Exit port1.png

Critical angle and displacement calculations

[math]\Theta = \frac{m_ec^2}{E_{beam}} = \frac{0.511\ MeV}{44\ MeV} = 0.67\ ^o[/math]

[math]\Delta = 286cm\ *\ \tan(0.67^o) = 3.34cm[/math]

Kicker angle and displacement calculations

[math]2*x^2 = 3.34 cm \ \ \Rightarrow\ \ \x = 2.36 cm[/math]

[math]\Delta = 2.36 cm \ \ \Rightarrow\ \ \tan^{-1}\left(\frac{2.36}{286}\right) = 0.95\ ^o[/math]

Off-axis collimation geometry

Beam up down1.png