Collimation geometry for different beam energies

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90$^o$ exit port measurements

Critical and Kicker angles

[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]

Geometry calculation

beam energy	$\Theta_C / m$	$\Theta_C$	$\Theta_K$	$\alpha$	$AC$	$A_1C_1$	$BD$	$B_1D_1$	$A_1D_1$	$FA$	$GH$
25 MeV	$\Theta_C / 2$	$1.17^o$	$0.83^o$	$2.03^o$	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	$\Theta_C / 3$	$1.17^o$	$0.83^o$	$1.63^o$	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	$\Theta_C / 4$	$1.17^o$	$0.83^o$	$1.43^o$	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	$\Theta_C / 2$	$0.67^o$	$0.47^o$	$1.16^o$	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	$\Theta_C / 3$	$0.67^o$	$0.47^o$	$0.93^o$	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	$\Theta_C / 4$	$0.67^o$	$0.47^o$	$0.81^o$	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

25 MeV geometry

$\Theta_c/4$, pipe 3"

$\Theta_c/2$, box 3"x4" and then pipe 4"

need to adjust to converter position

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