Filamentation instability fluctuations of proton fast ignitor due to temperature anisotropy in pre-compressed fuel

Filamentation instability is an electromagnetic wave that grows normal to the proton-driven direction in fast ignition scenario can reduce beam quality or dissipate it due pinching force before this reaches dense core. On other hand, producing isotropic pre-compressed fuel almost impossible process. Therefore, Weibel may cumulate with filamentation instability. Consequently, growth rate increase decrease. In study, first, of obtained variations density and energy cold model. Then dispersion equation system derived saddle-point approximation Maxwell-Jüttner distribution Vlasov equation. Numerical results show if parallel temperature (T∥) selected more than perpendicular (T⊥) background (positive anisotropy), cumulative effect compared fuel. addition, decreases negative anisotropy. For instance, medium anisotropy 50%, increases 2.59 times relative state for a proton ratio 0.1. Also, be reduced by half -50% medium. Furthermore, fluctuations are severe dilute beams. However, quench ratios less 0.1