Geometry (44 MeV LINAC exit port)

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90[math]^o[/math] 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]

General collimator setup

[math]AC = 286\cdot\tan(\Theta_K)\ cm[/math]

[math]A_1C_1 = (286 +183)\cdot\tan(\Theta_K)\ cm[/math]

[math]BD = 286\cdot\tan(\Theta_C/m)\ cm[/math]

[math]B_1D_1 = (286 + 183)\cdot\tan(\Theta_C/m)\ cm[/math]

[math]\alpha = \frac{A_1D_1 - AB}{183} = \frac{(A_1C_1 + C_1D_1/2) - (AC - B_1D_1/2)}{183}[/math]

[math]FA = AB/\tan(\alpha)\ cm[/math]

[math]GH = (286 - FA)\cdot\tan(\alpha)\ cm[/math]

Funny pictures...

how it looks ([math] \Theta_c/2[/math], pipe 3")

how it looks 1 ([math] \Theta_c/4[/math], pipe 3")

how it looks 2 ([math] \Theta_c/4[/math], pipe 3")

how it looks 4 ([math] \Theta_c/2[/math], pipe (2 1/2)" and then pipe 4")

need to adjust to converter position

how it looks 5 ([math] \Theta_c/2[/math], box 3"x4" and then pipe 4")

need to adjust to converter position

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