Collimation geometry for different beam energies: Difference between revisions

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|25 MeV||<math>\Theta_C / 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>
|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 < 8.73 cm'''||111 cm||'''4.99 cm < 5.08 cm'''
|4.13 cm||6.78 cm||1.95 cm||3.20 cm||8.38 cm||111 cm||4.99 cm
|-
|-
|25 MeV||<math>\Theta_C / 4</math>||<math>1.17^o</math>||<math>0.83^o</math>||<math>1.43^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||1.46 cm||2.40 cm||'''7.98 cm < 8.73 cm'''||136 cm||'''3.74 cm < 5.08 cm'''
|4.13 cm||6.78 cm||1.46 cm||2.40 cm||7.98 cm||136 cm||3.74 cm
|-
|-


|44 MeV||<math>\Theta_C / 2</math>||<math>0.67^o</math>||<math>0.47^o</math>||<math>1.16^o</math>
|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 < 8.73 cm'''||75 cm||'''4.26 cm < 5.08 cm'''
|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>\Theta_C / 2</math>||<math>0.67^o</math>||<math>0.47^o</math>||<math>1.31^o</math>
|2.35 cm||3.85 cm||1.66 cm||(2.72 + 1) cm||'''5.71 cm < 8.73 cm'''||66 cm||'''5.03 cm < 5.08 cm'''
|2.35 cm||3.85 cm||1.66 cm||3.72 cm||5.71 cm||66 cm||5.03 cm
|-
|-
|44 MeV||<math>\Theta_C / 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>\Theta_C / 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
|}
|}


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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