强激光与粒子束2016，Vol.28Issue(9)：092002-1-092002-6,6.DOI:10.11884/HPLPB201628.151262
基于基函数展开方法处理具有陡峭界面的 Abel 反演问题
An Abel inversion method based on basis set expansion for discontinuous radial distribution problems
摘要
Abstract
Diagnostics of fusion capsule plasma which usually has a discontinuous radial distribution is a basic problem in la-ser fusion plasma researches.An Abel inversion method based on basis set expansion was proposed to handle this discontinuous Abel inverse problem.This method expands the radial distribution on a set of basis functions,and then the measurement data can be approximated by a linear combination of Abel transforms of the basis functions.The weighted coefficients of the basis functions were obtained by projected Landweber iteration method.Numerical simulations demonstrate that the proposed method is suffi-ciently accurate to reconstruct discontinuous radial distribution,and variance of reconstructed result can reach 10 -4 for ideal sig-nal.Although some noise were added in measurement data,the inversion result can still reflect discontinuous property of radial distribution accurately.关键词
Abel 反演/基函数展开/等离子体诊断/非连续分布/X 射线成像Key words
Abel inversion/basis set expansion/plasmas diagnostic/discontinuous distribution/X-ray tomography分类
数理科学引用本文复制引用
韩丹,晏卓阳,张天奎,陈佳,于明海,吴玉迟,谷渝秋..基于基函数展开方法处理具有陡峭界面的 Abel 反演问题[J].强激光与粒子束,2016,28(9):092002-1-092002-6,6.基金项目
国家自然科学基金项目(11174259,11375161,11405159,11505166) （11174259,11375161,11405159,11505166）
等离子体物理重点实验室基金项目(9140C680301150C68297,9140C680302130C68242) （9140C680301150C68297,9140C680302130C68242）
