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The diagnostics of density distribution for inhomogeneous dense DT plasmas using fast protons

Published online by Cambridge University Press:  16 June 2008

X.-M. Li ,
B.-F. Shen ,
X.-M. Zhang ,
Z.-Y. Jin  and
F.-C. WANG
X.-M. Li*
Affiliation:
State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai, China
B.-F. Shen
Affiliation:
State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai, China
X.-M. Zhang
Affiliation:
State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai, China
Z.-Y. Jin
Affiliation:
State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai, China
F.-C. WANG
Affiliation:
State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai, China
*
Address correspondence and reprint requests to: Xue-Mei Li, State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai 201800, China. Email: xmlee0102@yahoo.com.cn
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Abstract

The density distribution of inhomogeneous dense deuterium-tritium plasmas in laser fusion is revealed by the energy loss of fast protons going through the plasma. In our simulation of a plasma density diagnostics, the fast protons used for the diagnostics may be generated in the laser-plasma interaction. Dividing a two-dimensional area into grids and knowing the initial and final energies of the protons, we can obtain a large linear and ill-posed equation set for the densities of all grids, which is solved with the Tikhonov regularization method. We find that the accuracy of the set plan with four proton sources is better than those of the set plans with less than four proton sources. Also we have done the density reconstruction especially for four proton sources with and without assuming circularly symmetrical density distribution, and find that the accuracy is better for the reconstruction assuming circular symmetry. The error is about 9% when no noise is added to the final energy for the reconstruction of four proton sources assuming circular symmetry. The accuracies for different random noises to final proton energies with four proton sources are also calculated.

Keywords

Density distributionDT plasmaFast protonsL-curveTikhonov regularization method
Type
Research Article
Information
Laser and Particle Beams , Volume 26 , Issue 2 , June 2008 , pp. 139 - 145
Copyright
Copyright © Cambridge University Press 2008

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