In recent years, several methods for the use of fusion energy is proposed and tested . One of these methods is fast ignition. In this method the process of compression and ignition carried out separately. First the target is compressed by ion and laser beams to the surface density, ?r=0.3-0.6 ، at low temperature . In this step the fuel is compressed to a large level, but without ignition and hydrodynamic instability. Then an interval 10-50 picosecond laser beam by the power of and short wavelength 0.2 micrometer applied to heat the central region. In this method, a cone-shaped area covered with gold sheet or other metals such as aluminum is created. The laser beam by intensity , is radiated to cone-shaped area. The laser beam accelerates the electrons and ions of this area to the several MeV . The generated relativistic electrons, deposited10-100 kilojoules energy to the central region and formed plasma transfer to the cold fuel. In this study, diagrams of flux , energy deposition and stopping power for both modes with and without aluminum foil in fuel region are calculated and compared. Another method used in this study for nuclear fusion, is shock ignition. Shock ignition takes place in two step, in the first step target is radiated by laser beam or heavy ions. This beams compressed the target and because of it, first step is called compression . Intensity of power in this step is lower than the second step. In the second step, called the ignition stage, is takes place exactly at the end of compression. A pulse by intensity higher than the compression step of the order is radiated to compression target. In this study we consider relations of shock ignition by the different data . Comparing the result of fast ignition and shock ignition methods for fuel pellet specify s that the energy required to shock ignition is 30 % less than the fast ignition and energy gain is higher than fast ignition.
