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G.2 Ellipsoidal distribution

Figure G.3: Ellipsoidal distribution - $ Ez$ along z for different $ \sigma _z$. (a) $ \sigma_z=0.1$   mm (b) $ \sigma_z=0.2$   mm.
Image Ellipse-Longitudinal_field_-_15MeV_-_Q=-025_nC_sz=01 (a) Image Ellipse-Longitudinal_field_-_15MeV_-_Q=-025_nC_sz=02(b)
Figure G.4: Ellipsoidal distribution - $ Ez$ along z for different $ \sigma _z$. (a) $ \sigma_z=0.3$   mm (b) $ \sigma_z=0.4$   mm
Image Ellipse-Longitudinal_field_-_15MeV_-_Q=-025_nC_sz=03 (a) Image Ellipse-Longitudinal_field_-_15MeV_-_Q=-025_nC_sz=04(b)







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