| 多缝衍射反演光谱学的稳定性理论研究── 一种第一类Fredholm积分方程数值解之稳定性分析 |
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| 引用本文： | 李春芳 赵葆常. 多缝衍射反演光谱学的稳定性理论研究── 一种第一类Fredholm积分方程数值解之稳定性分析[J]. 光子学报, 1996, 25(1): 57-62 |
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| 作者姓名： | 李春芳 赵葆常 |
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| 作者单位： | 1. 中国科学技术大学物理系, 合肥230026;2. 中国科学院西安光学精密机械研究所, 西安710068 |
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| 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.
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| 关 键 词： | 反演光谱学 衍射光栅 积分方程 稳定性 |
| 收稿时间： | 1994-10-13 |
THEORETICAL STUDY OF THE STABILITY OF THE SPECTROSCOPY OF INVERSE MULTIPLE-SLIT DIFFRACTION |
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| Li Chunfang,Zhao Baochang. THEORETICAL STUDY OF THE STABILITY OF THE SPECTROSCOPY OF INVERSE MULTIPLE-SLIT DIFFRACTION[J]. Acta Photonica Sinica, 1996, 25(1): 57-62 |
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| Authors: | Li Chunfang Zhao Baochang |
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| Affiliation: | 1. University of Science and Technology of China, Hefei 230026;2. Xi’an Institute of Optics and Precision Mechanics, Academia Sinica, Xi’an 710068 |
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| Abstract: | In previous paper1,2,based on the computer simulation experiment,the authors presented the conditions that stablize the linear equation set.This equation set is resulted from the discretization of a Fredholm integral equation of the first kind in the spectroscopy of inverse multiple-slit diffraction.This paper makes a mathematical analysis on the computer experiment results,by means of the eigenvalue theory of integral equation,and explains how the conditions presented stablize theresulted linear equation set. |
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| Keywords: | Inverse spectroscopy Grating Integral equation Stablization |
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