Study on the electron acceleration in the interaction of two relativistic laser beams with under-dense plasma

This paper applied two intense relativistic beams to low-density plasma under different conditions. The effect of the distance and the angle between these two beams on the acceleration of electrons were investigated. The simulations showed that when the distance between two beams is zero, and there is no relative angle between them, after some adequate amount of time, it seems that a powerful beam travels through the entire plasma, increasing the acceleration length of the electrons and their kinetic energy. The best overlap occurs between the pulses at and , naturally, the hot electrons will have the highest temperature and the highest cut-off energy. On the other hand, as the pulse distance increases, the useful overlap decreases (the total amplitude of the laser fields decreases). Consequently, the temperature of the hot electrons will reduce. The results showed that the conditions  and  the rate of pulse erosion, and the increase in the kinetic energy of the electrons are slightly greater than the non-zero angles, which can be due to the excitation of the stronger plasma waves.