Linear approximation method to determine parameter uncertainty indexes in target designing for laser fusion

Laser fusion ignition requires strict control over laser facility, target quality and diagnosis precision in experiments. With the experiments approaching ignition regime, the requirement of precision is increased. In the precision experiments, the target design should determine not only the parameters such as laser energy, target dimensions and gas density, et al, but also the uncertainty indexes of these important parameters. Hence it is important for target design to obtain the uncertainty indexes of parameters. This paper investigates the method to effectively obtain the uncertainty indexes in target design. The method is presented by theoretical analysis based on linear approximation, and takes into account the difference of the control abilities of different parameters. This paper also shows an example of the application of this method to a gas-filled target design. It is indicated that the parameters uncertainty indexes can be effectively specified in target design by this method with greatly reduced workload.