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The two stage electron acceleration model [arXiv: 1512.02411 and arXiv:1512.07546] is extended to the study of laser magnetized-plasmas interactionsat relativistic intensities and in the presence of large-scale preformedplasmas. It is shown that the cut-off electron kinetic energy is controllableby the external magnetic field strength and directions. Further studiesindicate that for a right-hand circularly polarized laser (RH-CP) of intensity$10^{20}\ \text{W}/\text{cm}^2$ and pre-plasma scale length $10\ \mu\text{m}$,the cut-off electron kinetic energy can be as high as $500\ \text{MeV}$, when ahomogeneous external magnetic field of exceeding $10000\ \text{T}$ (or$B=\omega_{c}/\omega_0>1$) is loaded along the laser propagation direction,which is a significant increase compared with that $120\ \text{MeV}$ withoutexternal magnetic field. A laser front sharpening mechanism is identified atrelativistic laser magnetized-plasmas interactions with$B=\omega_{c}/\omega_0>1$, which is responsible for these super-high energeticelectrons.

plasma physics and controlled fusion

The controllable super-high energetic electrons by external magnetic  fields at relativistic laser-solid interactions in the presence of large  scale pre-plasmas