Collimation geometry for different beam energies: Difference between revisions
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=Critical and Kicker angles= | =Critical and Kicker angles= | ||
[[File:Beam_up_down.png| | [[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> | ||
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==<math> \Theta_c/4</math> collimation angle, 3" pipe== | ==<math> \Theta_c/4</math> collimation angle, 3" pipe== | ||
[[File:vacuum_pipe_collimator_168_1.png]]<br> | [[File:vacuum_pipe_collimator_168_1.png|700px]]<br> | ||
==<math> \Theta_c/2</math> collimation angle, 3"x4" box and then 4" pipe== | ==<math> \Theta_c/2</math> collimation angle, 3"x4" box and then 4" pipe== | ||
[[File:vacuum_pipe_collimator_335_5.png]]<br> | [[File:vacuum_pipe_collimator_335_5.png|700px]]<br> | ||
=25 MeV and 44 MeV geometry for different collimation angles= | =25 MeV and 44 MeV geometry for different collimation angles= | ||
[[File:minimum_energy_condition.png| | [[File:minimum_energy_condition.png|700px]] | ||
Revision as of 02:05, 21 June 2010
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{1}{\sqrt{2}}\ \frac{\Delta_1}{286}\right) = tan^{-1}\left(\frac{1}{\sqrt{2}}\ tan(\Theta_C)\right) }[/math]
25 MeV geometry
[math]\displaystyle{ \Theta_c/4 }[/math] collimation angle, 3" pipe
[math]\displaystyle{ \Theta_c/2 }[/math] collimation angle, 3"x4" box and then 4" pipe
25 MeV and 44 MeV geometry for different collimation angles
| 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 > 8.73 cm | 75 cm | 7.49 cm > 5.08 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 | 8.37 cm < 8.73 cm | 111 cm | 4.99 cm < 5.08 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 < 8.73 cm | 136 cm | 3.74 cm < 5.08 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 < 8.73 cm | 75 cm | 4.26 cm < 5.08 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 < 8.73 cm | 111 cm | 2.84 cm < 5.08 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 < 8.73 cm | 136 cm | 2.13 cm < 5.08 cm |