摘要
作者在前文 ̄(1,2)中通过计算机模拟实验给出了由多缝衍射反演光谱学的积分方程─一种第一类Fredholm积分方程─获得稳定线性方程组的条件,本文将进一步从数学上利用积分方程的本征值理论分析计算机的实验结果,阐明这些条件使线性方程组稳定的机制。
In previous paper ̄(1,2) , based on the computer simulation experiment,the authors presentedthe conditions that stablize the linear equation set. This equation set is resulted from the discretizationof a Fredholm integral equation of the first kind in the spectroscopy of inverse multiple-slitdiffraction. This paper makes a mathematical analysis on the computer experiment results, by means ofthe eigenvalue theory of integral equation,and explains how the conditions presented stablize theresulted linear equation set.
出处
《光子学报》
EI
CAS
CSCD
1996年第1期57-62,共6页
Acta Photonica Sinica
关键词
反演光谱学
衍射光栅
积分方程
稳定性
Inverse spectroscopy
Grating
Integral equation
Stablization