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The inertial nuclear fusion with laser beams, relativistic electron beams, ion beams, micro-particle beams and superconducting projectiles has been and is investigated analytically and numerically calculated by various authors along years and nowadays. Starting from the record laser peak power of 1.25 PW and radiation peak intensity of 100 EW/square centimeter produced at LLNR using the chirped pulse amplification (CPA) laser technology as well as from ELI Nuclear Physics - laser system, 3 APPOLON 10 PW (150 J/ 15 fs) proposed to be realized, this paper presents the principle and the configuration of a compact ion accelerator with optical laser in an ultra-relativistic regime, for the inertial nuclear fusion. The accelerator operation principle is based on the interaction of a laser beam with plasma. Plasma is an ideal medium for the acceleration of particles because it may stand longitudinal electric fields of high values (several GV/m), approximately three orders of magnitude greater than the ones obtained with RF cavity (limited to 100 MV/m). Plasma allows the conversion of the electromagnetic field of the laser radiation into plasma waves which can capture and accelerate the charged particles. Moreover, the main system parameters of the accelerator are also presented.
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