Criteria for Permissible Parameters of Hot Spot Ignition in Ion-doped Deuterium-Tritium Fue

At the stagnation time, fuel may impact by a variety of paths, including ablator materials, Hohlraum wall, the interaction of the cone-guided lateral surface with imploding fuel, and cone tip material, releasing and mixing their constituent elements into corona plasma and even inside the pure dense fuel. Here, we have parametrically studied the impact of some well-known ionic impurities such as carbon and gold on the physical condition of DT hot spot ignition. The admissible zone of DT hot spot ignition was plotted on the HsTs plane, and it was shown that for a given percentage of gold impurities, the boundaries of the ignition zone gradually increased with increasing internal implosion velocity and at implosion velocities smaller than 1.7×107 cm/s, there exist two individual ignition islands. In the context of the fast ignition approach to ICF, the areal density of hot spots ignition of deuterium-tritium doped with a small concentration of impurity ions of carbon and gold was then extracted by a non-equilibrium ignition model. Accordingly, for a given value in this range, the contour plot of the allowed areal density parameter in the two-temperature model was plotted on the Te-Ti plane. It has been shown that as the impurity fraction increases, the permissible range of ignition decreases rapidly and the ignition conditions become more difficult. The sensitivity of these changes is directly associated with the coefficient of increase in radiation loss power, which is a function of the parameter of the impurity percentage α and the ionization state of the impurity ion, Zimp. Moreover, in each contour plot, the minimum permissible ignition parameter of ion temperature of contaminated DT fuel is also visible.