Axially symmetric reconstruction of plasma emission and absorption coefficients
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摘要: 在激光聚变靶丸等离子体诊断中，为了同时重建出等离子体发射系数和吸收系数的空间分布，建立了分层结构成像模型，利用LM（Levenberg-Marquardt）非线性最小二乘优化算法，提出了基于该模型的重建算法。数值模拟结果表明，该算法成功地重建出发射系数和吸收系数，而且重建精度高，明显优于不考虑吸收衰减影响的Abel逆变换重建结果。对于连续分布，当噪声标准差为0.01时，发射系数与吸收系数重建误差分别为0.17，0.22。Abstract: A layered structure imaging model is developed in order to reconstruct emission coefficients and absorption coefficients simultaneously, in laser fusion core plasma diagnostics. A novel axially symmetric reconstruction method that utilizes the LM(Levenberg-Marquardt) nonlinear least squares minimization algorithm is proposed based on the layered structure. Numerical simulation results demonstrate that the proposed method is sufficiently accurate to reconstruct emission coefficients and absorption coefficients, and when the standard deviation of noise is 0.01, the errors of emission coefficients and absorption coefficients are 0.17, 0.22, respectively. Furthermore, this method could perform much better on reconstruction effect compared with traditional inverse Abel transform algorithms.
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