“…Since the invention of chirped pulse amplification, the construction of compact ultra-intense and ultra-short laser pulses has become feasible. Propagation of such laser pulses has been investigated in various plasma conditions (Wang et al, 2011;Sadighi-Bonabi et al, 2011) resulted in generation of mono-energetic electrons (Faure et al, 2004;Yazdanpanah et al, 2014) protons and ions (Hegelich et al, 2006;Yazdani et al, 2009;Hora et al, 2012) and X-rays (Nikzad et al, 2012;Shirozhen et al, 2014). Laser based ion acceleration is highly attractive due to its potential applications, including fast ignition (Roth et al, 2001), proton radiography (Borghesi et al, 2006), and so on.…”