Two-dimensional density distributions of dense plasmas in laser confinement fusion are revealed with proton imaging. Simultaneous iterative reconstruction algorithm (SIRT) is used to study influence factors of two-dimensional plasma density reconstruction. Effects of plasma density gradient, magnitude of density and initial proton energies on reconstruction errors are investigated. Importance of figuring out rough area and range of simulated plasma zone before simulation is analyzed. Furthermore, an analytical expression between reconstruction errors and noises is established through data analyses.

Density reconstruction of inhomogeneous dense DT plasmas is studied with simultaneous iterative reconstruction technique(SIRT).In simulation of density diagnostics of a two-dimensional(2D) slice plasma,fast protons used fordiagnostics can be generated with laser-plasma interaction and energy loss of fast protons going through plasmas is crucial.As original and final energies of protons are given,density reconstruction by SIRT method is done without noise level of final energies.Accuracy of the method is better than that of the Tikhonov regularization method based on deviation principle of L-curve.In addition,the SIRT method is available with incomplete data.