## MATLAB高通量型干涉成像光谱仪的光谱复原方法

Title   Spectrum Recovery of High Etendue Interference Imaging Spectrometer
Abstract
Interference imaging spectrum technology is the organic integration   of modern imaging technology and spectroscopy technology. People can  research and target two-dimensional space information and one-
dimensional spectrum information by interference imaging spectrum
technology. This paper first introduces the interference research and development of the interference imaging spectrum technology, and then systematically expound on the theory of inte-rference imaging
spectrum. We classify the structure as well as the advantages and
disadvantages of the three kinds of interference imaging
spectrometers. In particular we compare the difference of the ways to obtain interference information. This article focuses on the spectrum recovery of the high etendue interference imaging spectrum technology.We clarify the theory of interference imaging spectrum recovery. To

collected interferogram we make removal of trend items, apodizatin
filter, phase correction and conjugate symmetric treatment, then
obtain the spectrum by inverse Fourier transform. On the basis of the algorithm research, I write a MATLAB program to calculate the interference patterns ,andanalyze the experimental results.
Keywords  Interference imaging spectrometer technology  High etendue
Conjugate symmetrization  Fourier transform

1 绪论    1
1.1课题研究背景    1
1.2干涉成像光谱技术的发展    1
1.3本文的主要研究内容    2
2 干涉成像光谱技术    3
2.1 干涉成像光谱理论    3
2.1.1 干涉仪与干涉图    3
2.1.2 干涉图与光谱图    4
2.2 干涉成像光谱仪    5
2.2.1 时间调制型    6
2.2.2 空间调制型    7
2.2.3 时空混合调制型    8
3 干涉成像光谱复原理论    10
3.1 去趋势项    10
3.2 切趾滤波    11
3.2.1 切趾函数的选取原则    12
3.2.2 三角窗函数及其它切趾函数    12
3.3 相位校正    16
3.4 共轭对称化和傅里叶变换计算    17
3.5 高通量型干涉成像光谱仪的干涉信息的提取    19
4 实验及数据处理    22
4.1 光谱复原流程图    22
4.2 实际干涉图处理    22
4.2.1 红绿激光干涉图    22
4.2.2 氖灯干涉图    25
4.2.3 汞灯干涉图    29

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