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

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(Created page with '[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] =general setup= File:minimum_energy_condition.png =geometry calculation= {| bor...')
 
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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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=Critical and Kicker angles=
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[[File:Beam_up_down.png]]<br>
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<math>\Theta_C = \frac{m_ec^2}{E}</math>
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<math>\Theta_K = tan^{-1}\left(\frac{x_1}{286}\right)
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                = tan^{-1}\left(\frac{1}{\sqrt{2}}\ \frac{\Delta_1}{286}\right)
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                = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right)</math><br>
  
 
=general setup=
 
=general setup=

Revision as of 22:26, 20 June 2010

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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 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]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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