Collimation geometry for different beam energies: Difference between revisions

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=90<math>^o</math> exit port measurements=
[[File:exit_port1.png|700px]]<br><br>


=Critical and Kicker angles=
=Critical and Kicker angles=


[[File:Beam_up_down.png|800px]]<br>
[[File:Beam_up_down.png|700px]]<br>


  <math>\Theta_C = \frac{m_ec^2}{E}</math>
  <math>\Theta_C = \frac{m_ec^2}{E}</math>


  <math>\Theta_K = tan^{-1}\left(\frac{x_1}{286}\right)
  <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{\Delta_1}{\sqrt{2}\ 286}\right)
                 = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right)</math><br>
                 = tan^{-1}\left(\frac{tan(\Theta_C)}{\sqrt{2}}\right)</math><br>


=General collimator setup=
=25 MeV geometry, <math>\Theta / 2</math> collimation angle=


[[File:minimum_energy_condition.png|left|700px]]


<math>AC = 286\cdot\tan(\Theta_K)\ cm</math><br>
[[File:vacuum_pipe_collimator_335_5.png|700px]]<br>
<math>A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm</math>


<math>BD = 286\cdot\tan(\Theta_C/m)\ cm</math><br>
=25 MeV and 44 MeV geometry for different collimation angles=
<math>B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm</math><br>


<math>\alpha = \frac{A_1D_1 - AB}{183}</math>
==general setup==
      <math> = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183}</math>


<math>FA = AB/\tan(\alpha)\ cm</math><br>
[[File:minimum_energy_condition.png|700px]]
<math>GH = (286 - FA)\cdot\tan(\alpha)\ cm</math><br><br><br><br><br><br>


=geometry calculation=
==calculation==


{| border="1" cellpadding="10" cellspacing="0"
{| border="1" cellpadding="10" cellspacing="0"
|-
|-
!width=25|beam energy
!width=25|beam energy
!width=25|collimator diameter
|<math>\Theta_C / m</math>
|<math>\Theta_{critical}</math>
|<math>\Theta_C</math>
|<math>\Theta_{kicker}</math>
|<math>\Theta_K</math>
|<math>\alpha_{collimator}</math>
|<math>\alpha</math>
|<math>AC</math>
|<math>AC</math>
|<math>A_1C_1</math>
|<math>A_1C_1</math>
|<math>BD</math>
|<math>BD</math>
|<math>B_1D_1</math>
|<math>B_1D_1</math>
|<math>A1D1</math>
|<math>A_1D_1</math>
|<math>FA</math>
|<math>FA</math>
|<math>GH</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>
|25 MeV||<math>\Theta_C / 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
|4.13 cm||6.78 cm||2.92 cm||4.79 cm||9.18 cm||75 cm||7.49 cm
|-'
|25 MeV||<math>\Theta_C / 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||8.38 cm||111 cm||4.99 cm
|-
|-
|25 MeV||<math>\frac{\Theta_{criicalt}}{3}</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.63^o</math>
|25 MeV||<math>\Theta_C / 4</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.43^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
|4.13 cm||6.78 cm||1.46 cm||2.40 cm||7.98 cm||136 cm||3.74 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>\Theta_C / 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||75 cm||4.26 cm
|-
|-
 
|44 MeV||<math>\Theta_C / 2</math>||<math>0.67^o</math>||<math>0.47^o</math>||<math>1.31^o</math>
|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||3.72 cm||5.71 cm||66 cm||5.03 cm
|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>
|44 MeV||<math>\Theta_C / 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
|2.35 cm||3.85 cm||1.11 cm||1.82 cm||4.76 cm||111 cm||2.84 cm
|-
|-
|44 MeV||<math>\frac{\Theta_{critical}}{4}</math>||<math>0.67^o</math>||<math>0.47^o</math>||<math>0.81^o</math>
|44 MeV||<math>\Theta_C / 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
|2.35 cm||3.85 cm||0.83 cm||1.36 cm||4.53 cm||136 cm||2.13 cm
|}
|}


=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>






[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 19:03, 24 May 2012

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90[math]\displaystyle{ ^o }[/math] exit port measurements



Critical and Kicker angles


[math]\displaystyle{ \Theta_C = \frac{m_ec^2}{E} }[/math]

[math]\displaystyle{ \Theta_K = tan^{-1}\left(\frac{x_1}{286}\right)
                = tan^{-1}\left(\frac{\Delta_1}{\sqrt{2}\ 286}\right)
                = tan^{-1}\left(\frac{tan(\Theta_C)}{\sqrt{2}}\right) }[/math]

25 MeV geometry, [math]\displaystyle{ \Theta / 2 }[/math] collimation angle


25 MeV and 44 MeV geometry for different collimation angles

general setup

calculation

beam energy [math]\displaystyle{ \Theta_C / m }[/math] [math]\displaystyle{ \Theta_C }[/math] [math]\displaystyle{ \Theta_K }[/math] [math]\displaystyle{ \alpha }[/math] [math]\displaystyle{ AC }[/math] [math]\displaystyle{ A_1C_1 }[/math] [math]\displaystyle{ BD }[/math] [math]\displaystyle{ B_1D_1 }[/math] [math]\displaystyle{ A_1D_1 }[/math] [math]\displaystyle{ FA }[/math] [math]\displaystyle{ GH }[/math]
25 MeV [math]\displaystyle{ \Theta_C / 2 }[/math] [math]\displaystyle{ 1.17^o }[/math] [math]\displaystyle{ 0.83^o }[/math] [math]\displaystyle{ 2.03^o }[/math] 4.13 cm 6.78 cm 2.92 cm 4.79 cm 9.18 cm 75 cm 7.49 cm
25 MeV [math]\displaystyle{ \Theta_C / 3 }[/math] [math]\displaystyle{ 1.17^o }[/math] [math]\displaystyle{ 0.83^o }[/math] [math]\displaystyle{ 1.63^o }[/math] 4.13 cm 6.78 cm 1.95 cm 3.20 cm 8.38 cm 111 cm 4.99 cm
25 MeV [math]\displaystyle{ \Theta_C / 4 }[/math] [math]\displaystyle{ 1.17^o }[/math] [math]\displaystyle{ 0.83^o }[/math] [math]\displaystyle{ 1.43^o }[/math] 4.13 cm 6.78 cm 1.46 cm 2.40 cm 7.98 cm 136 cm 3.74 cm
44 MeV [math]\displaystyle{ \Theta_C / 2 }[/math] [math]\displaystyle{ 0.67^o }[/math] [math]\displaystyle{ 0.47^o }[/math] [math]\displaystyle{ 1.16^o }[/math] 2.35 cm 3.85 cm 1.66 cm 2.72 cm 5.21 cm 75 cm 4.26 cm
44 MeV [math]\displaystyle{ \Theta_C / 2 }[/math] [math]\displaystyle{ 0.67^o }[/math] [math]\displaystyle{ 0.47^o }[/math] [math]\displaystyle{ 1.31^o }[/math] 2.35 cm 3.85 cm 1.66 cm 3.72 cm 5.71 cm 66 cm 5.03 cm
44 MeV [math]\displaystyle{ \Theta_C / 3 }[/math] [math]\displaystyle{ 0.67^o }[/math] [math]\displaystyle{ 0.47^o }[/math] [math]\displaystyle{ 0.93^o }[/math] 2.35 cm 3.85 cm 1.11 cm 1.82 cm 4.76 cm 111 cm 2.84 cm
44 MeV [math]\displaystyle{ \Theta_C / 4 }[/math] [math]\displaystyle{ 0.67^o }[/math] [math]\displaystyle{ 0.47^o }[/math] [math]\displaystyle{ 0.81^o }[/math] 2.35 cm 3.85 cm 0.83 cm 1.36 cm 4.53 cm 136 cm 2.13 cm



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