Calculation of The Deposited Energy and Stopping Range For The Proton, Deuteron and Carbon Beams In Laser Fusion by Fast Ignition

Abstract

The main goal of this paper is calculation of deposited energy and as a result evaluation of stopping range of the ionic beams of carbon, deuteron and proton. The deposited energy is the function of two parameters: (a) beam energy and (b) electron temperature. Also the stopping range depends on the temperature, ionic beam energy and density of fuel pellet. Our calculations show that with decreasing the stopping range of particle, the deposited energy is enhanced. In the same temperature and fuel density, carbon has less stopping range and more deposited energy but higher energy is needed to accelerate the beam , this causes carbon has less energy than others. However, deuteron has more stopping range and deposited energy in comparison with carbon also it has better beam gain in comparison with carbon. Stopping range and proton beam gain respect to the other fuels is placed in lower level , but the low threshold intensity to accelerate it, cause it obtain the high gain. The optimum beam gain of the proton is 150 while it is 75 for deuteron and 1 for carbon. The fuel geometry must be considered for more studies in order to increase the beam gain.