Collimation geometry for different beam energies: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
[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] | ||
=Critical and Kicker angles= | =Critical and Kicker angles= | ||
| Line 32: | Line 26: | ||
<math>FA = AB/\tan(\alpha)\ cm</math><br> | <math>FA = AB/\tan(\alpha)\ cm</math><br> | ||
<math>GH = (286 - FA)\cdot\tan(\alpha)\ cm</math> | <math>GH = (286 - FA)\cdot\tan(\alpha)\ cm</math> | ||
=geometry calculation= | =geometry calculation= | ||
| Line 100: | Line 63: | ||
|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 < 8.73 cm||136 cm||2.13 cm < 5.08 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] | ||
Revision as of 22:51, 20 June 2010
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]
General collimator setup
[math]\displaystyle{ AC = 286\cdot\tan(\Theta_K)\ cm }[/math]
[math]\displaystyle{ A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm }[/math]
[math]\displaystyle{ BD = 286\cdot\tan(\Theta_C/m)\ cm }[/math]
[math]\displaystyle{ B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm }[/math]
[math]\displaystyle{ \alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183} }[/math]
[math]\displaystyle{ FA = AB/\tan(\alpha)\ cm }[/math]
[math]\displaystyle{ GH = (286 - FA)\cdot\tan(\alpha)\ cm }[/math]
geometry calculation
| beam energy | collimator diameter | [math]\displaystyle{ \Theta_{critical} }[/math] | [math]\displaystyle{ \Theta_{kicker} }[/math] | [math]\displaystyle{ \alpha_{collimator} }[/math] | [math]\displaystyle{ AC }[/math] | [math]\displaystyle{ A_1C_1 }[/math] | [math]\displaystyle{ BD }[/math] | [math]\displaystyle{ B_1D_1 }[/math] | [math]\displaystyle{ A1D1 }[/math] | [math]\displaystyle{ FA }[/math] | [math]\displaystyle{ GH }[/math] |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 25 MeV | [math]\displaystyle{ \frac{\Theta_{critical}}{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{ \frac{\Theta_{criicalt}}{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{ \frac{\Theta_{critical}}{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{ \frac{\Theta_{critical}}{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{ \frac{\Theta_{critical}}{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{ \frac{\Theta_{critical}}{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 |
Funny pictures...
how it looks ([math]\displaystyle{ \Theta_c/2 }[/math], pipe 3")
how it looks 1 ([math]\displaystyle{ \Theta_c/4 }[/math], pipe 3")
how it looks 2 ([math]\displaystyle{ \Theta_c/4 }[/math], pipe 3")
how it looks 4 ([math]\displaystyle{ \Theta_c/2 }[/math], pipe (2 1/2)" and then pipe 4")
need to adjust to converter position
how it looks 5 ([math]\displaystyle{ \Theta_c/2 }[/math], box 3"x4" and then pipe 4")
need to adjust to converter position
