摘要
本文考察了双光束干涉光谱仪中应用TSVD方法的结果,发现由于积分核cos(2πσx)的正交对称性质使得截断奇异值无法进行,而将积分核变形后再做截断,其实质是截去了积分核逆矩阵中的一部分,从而说明了双光束干涉光谱术中采用TSVD方法能够使复原光谱高波数侧具有较高信噪比的根本原因。
The results of applying the theory of Hilbert and Schmidt fo two-beam interferencespectroscopy are studied.It is found that the essence of truncating the singular values is to cut off apart of the inverse matrix of the integral kernel.This explains it clearly that why the SNR is better inthe higher wave number region when TSVD method is applied to two-beam interferometer.
出处
《光子学报》
EI
CAS
CSCD
1995年第4期313-317,共5页
Acta Photonica Sinica
关键词
双光束干涉
光谱术
积分方程
TSVD
Two-beam interference spectroscopy
Integral equation
TSVD