用勒让德级数处理Abel变换

提出了一种处理弱非中心对称Abel变换的新方法.把测量的积分值用Yasutomo的方法分成奇、偶两部分.非对称的原函数被表达为一个权函数和一个中心对称函数之积.对称函数用勒让德级数展开.级数的系数通过用最小二乘法来决定 关键词： Abel变换 勒让德级数 测试函数 对称 非对称     

Study of sawtooth oscillations on the HT-7 tokamak using 2D tomography of soft x-ray signal

It is the first time so far as we know that two arrays of multi-channel soft x-ray detectors are used to generate twodimensional （2D） images of sawtooth oscillation on the HT-7 tokamak using the Fourier-Bessel harmonic reconstruction method, and using the singular value decomposition to analyse the data from soft x-ray cameras. By these two arrays, 2D image reconstruction of soft x-ray emissivity can be obtained without assumption of plasma rigid rotation. Tomographic reconstruction of the m=1 mode structure is obtained during the precursor oscillation of the sawtooth crash. The crescent-shaped mode structure appearing on the contour map of the soft x-ray emissivity is consistent with the quasiinterchange mode. The characteristics of the m=1/n=1 mode structure observed in the soft x-ray tomography are as follows： the magnetic surface is made up of the crescent-shaped “hot core” and the circular “cold bubble”. The structure of the magnetic surface rotates in the direction of the electron diamagnetic drift and the rotation frequency is the oscillation frequency of soft x-ray signals.     

Tomographic analysis of the central magnetohydrodynamic oscillations on the HT-7 tokamak

Multi-channel soft x-ray (SX) detectors are applied to generate images of magnetohydrodynamic (MHD) oscillation on the HT-7 tokamak, and the data from SX cameras are analysed by using the Fourier--Bessel harmonic reconstruction method and the singular value decomposition. The image reconstruction of SX emissivity is obtained on the assumption of plasma rigid rotation. One of the important phenomena in the HT-7 discharge is the transition from the sawtooth oscillations to the MHD oscillations when the plasma density grows higher. The MHD structure observed in the SX tomography is featured as follows: the magnetic surface of MHD structure is made up of the crescent-shaped ``hot core' and the circular ``cold bubble'. The structure of the magnetic surface is relatively stable. It rotates in the direction of the electron diamagnetic drift at a frequency being the oscillation frequency of the MHD oscillations.     

HT-7托卡马克上低杂波电流驱动实验中的快电子动力学

在低杂波电流驱动实验中，快电子的动力学对等离子体的品质有至关重要的影响。HT-7托卡马克上，新近发展了一套硬X射线阵列诊断系统用于快电子的动力学研究。本文给出了在不同的低杂波电流驱动实验中，例如高参数，长脉冲，以及反向电流驱动实验，快电子的动力学行为。     

HT-7托卡马克等离子体欧姆放电时电子热扩散系数的研究

主要介绍从能量平衡分析来研究HT-7托卡马克等离子体电子的热扩散系数.研究结果表明,HT-7托卡马克等离子体电子的热传导损失是主要的能量损失,热对流损失不及欧姆输入功率的1%,可以忽略.电子的反常热扩散系数随半径的增大逐渐增大,且比新经典理论预言的大2个量级.同时研究了壁处理硅化后的电子热扩散系数.结果显示,硅化后,在等离子体外围区域(r/a>0.5)电子的热扩散系数降低,从而等离子体能量约束得到改善 关键词： 托卡马克 欧姆放电 电子热扩散系数