Optimization of Positron Capturing

• Thickness of the Tungsten target: 1.25 mm
• Beam size at Tungsten target: Gaussian, [math]\sigma_{x,y} = 3~mm[/math]

Optimization with ELEGANT Simulation on the Region from Gun Exit to Tungsten Target

Emittance: [math] \epsilon_{x,y} = 13~\mu m[/math] (Not sure yet, need to be calculated)

Average Peak [math] Q = 14~pC [/math]

Beam Energy: [math] 10~MeV [/math]

Energy Spread: [math] \sigma_{\delta}=4.23% [/math]

Alpha Function: [math] \alpha = [/math]

Beta Function: [math] \beta = [/math]

RMS longitudinal Bunch Length: [math] \sigma_{z} = 10.6~ps[/math]