“…This results in a modification of the divergence of the output particle beam by effectively modifying the accelerating sheath shape, and can be adjusted by adjusting the amount of curvature. This efficiently produces a beam with extremely relevant characteristics to fast ignition , laser based accelerators (Dunne, 2006), proton beams for proton radiography of plasmas (Borghesi et al, 2002(Borghesi et al, , 2010Kodama et al, 2004), isochoric heating (Patel et al, 2003) shocks (Koenig et al, 2004), proton therapy (Bulanov & Khoroshkov, 2002;Fourkal et al, 2002;Noda et al, 2002;Pegoraro et al, 2004;Nishiushi et al, 2009, Yogo et al, 2009, micro-beam radiation therapy (Slatkin et al, 1992), positron emission tomography (Spencer et al, 2001), focused ion beam milling machines (Reyntjens & Puers, 2002), ion beam microscopes (Li, 2007), and dual beam electron/ion microscopes (MoberlyChan, 2009). For applications such as proton therapy, control of the characteristics of the beam are important (Toncian et al, 2006) and a micro-magnetic device (Schollmeier et al, 2008) separates the electron and or proton beam from the X-rays, or focus them (Nishiuchi et al, 2002;Kanazawa et al, 2009).…”