Unfolding soft X-ray spectra in ICF experiments with base function method

In inertial confinement fusion experiments, three 14-channel soft X-ray spectrometers are used to detect the soft-X-ray spectra and obtain the time history of radiation flux and equivalent temperature. Base function method is one of the unfolding methods. Different parameters of the base functions and different solution methods are compared for the capability to unfold a two-peak predefined spectrum. Based on the unfolding test, the optimized base function and solution method are used to unfold spectrum in our experiment and the results are compared with the measurement of transmission grating spectrometers. The computation and analysis show that iterative method using third-order spline as base function has a better recovery of the soft-X-ray spectrum than other base functions and solutio