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在本文所研究的空间调制型傅里叶变换光谱仪中, 在窄的光谱带宽内进行探测可以有效提高光谱的分辨率. 为了研究光源辐射噪声对系统的影响, 本文将辐射噪声归纳为一种高斯窄带的平稳随机过程, 利用线性系统分析方法, 根据统计学原理推导了辐射噪声作为随机变量通过干涉系统前后的输入信噪比与输出信噪比. 然后, 对于一个具有窄带矩形光谱的系统进行了计算仿真, 得出了信噪比增益随着光程差在不同自相关度和互相关度取值时的变化情况. 仿真结果表明, 不同光程差下的信噪比增益在相关度空间是一单调的平滑曲面, 增益极值始终沿着相关度圆的半径和周线移动, 并且经过一个光程差又回到初始的位置. 根据对信噪比增益的分析, 可以将噪声的相关度取值控制在某一范围之内, 并作为系统光源设计与测试的依据.The spectral resolution can be increased by detecting the optical signal in a narrowband spectrum for the Fourier transform spectrometer based on spatial modulated in our study. In this paper, to study the effect of the radiant source on the interference system, we regard the radiant noise as a narrowband stationary Gaussian random process. Using the linear system analysis method and the statistical theory, we deduce the input signal-to-noise ratio (SNR) and the output SNR after the optical signal and the radiant noise have passed through the interference system. Then we simulate the system and compare the obained result with a narrowband rectangle spectrum, and obtain the SNR gains along the optical path difference (OPD) in different autocorrelation degree and cross-correlation degree values. The simulation result indicates that the SNR gains at different OPDs in the correlation degree space each are a monotonic smooth surface. The SNR gain maximum moves along the radius and the contour of the correlation degree circle, and it returns to the initial position. after an OPD According to the analysis of the SNR gain, the autocorrelation degree and cross-correlation degree values can be controlled in a certain area, which can serve as a criterion for the design and the test of the radiant source.
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Keywords:
- Fourier transform spectroscopy /
- narrowband stationary Gaussian random process /
- SNR gain /
- autocorrelation degree
[1] Lü N G 2007 Fourier Optics (Beijing: China Machine Press) p182 (in Chinese) [吕乃光 2007 傅里叶光学 (北京:机械工业出版社) 第182页]
[2] Weng S F 2005 Fourier Transform Infrared Spectrometer (Beijing: Chemical Industry Press) p34 (in Chinese) [翁诗甫 2005 傅里叶变换红外光谱仪(北京:化学工业出版社) 第34页]
[3] Manzardo O 2002 Switzerland: Univ. Neuchatel
[4] Anatoliy M, Henrik A, Goran T, Hans-Erik N 2006 Proc. of SPIE 6395 639504
[5] Lin L, Ren Z, Li G 2008 Spectrosc. Spect. Anal. 28 2067 (in Chinese) [林凌, 任钊, 李刚2008光谱学与光谱分析 28 2067]
[6] Tian E M, Zhang J L, Li X, Zhang Y, Wang Z B 2009 Spectrosc. Spect. Anal. 29 853 (in Chinese) [田二明, 张记龙, 李晓, 张悦, 王志斌 2009 光谱学与光谱分析 29 853]
[7] Kong Y M, Liang J Q, Liang Z Z, Wang B, Zhang J 2009 Proc. of SPIE 7283 728304
[8] Kong Y M, Liang J Q,Wang B, Liang Z Z, Xu DW, Zhang J 2009 Spectrosc. Spect. Anal. 29 1142 (in Chinese) [孔延梅, 梁静秋, 王波, 梁中翥, 徐大伟, 张军 2009 光谱学与光谱分析 29 1142]
[9] Fu J G, Liang Z Z, Liang J Q 2010 Spectrosc. Spect. Anal. 30 3203 (in Chinese) [付建国, 梁中翥, 梁静秋 2010 光谱学与光谱分析 30 3203]
[10] Lü Q B, Yao T, Xiang L B, H M 2010 Spectrosc. Spect. Anal. 30 114 (in Chinese) [吕群波, 姚涛, 相里斌, 黄旻 2010 光谱学与光谱分析 30 114]
[11] Jian X H, Zhang C M, Zhu B H, Ren W Y 2010 Acta Phys. Sin. 59 6131 (in Chinese) [简小华, 张淳民, 祝宝辉, 任文艺 2010物理学报 59 6131]
[12] Fan C X, Zhang F Y, Xu B X, Wu C K 2001 Communication Principles (Beijing: National defence industrial press) p190 (in Chinese) [樊昌信, 张甫翊, 徐炳祥, 吴成柯 2001 通信原理 (北京:国防工业出版社) 第190页]
[13] Zhao K H, Zhong X H 1984 Optics (Vol.2) (Beijing: Peking university Press) p291 (in Chinese) [赵凯华, 钟锡华 1984 光学(下册) (北京:北京大学出版社) 第291页]
[14] Zhang C M, Huang W J, Zhao B C 2010 Acta Phys. Sin. 59 5479 (in Chinese) [张淳民, 黄伟健, 赵葆常 2010 物理学报 59 5479]
[15] Xiang L B, Yuan Y, Lv Q B 2009 Acta Phys. Sin. 58 5399 (in Chinese) [相里斌, 袁艳, 吕群波 2009 物理学报 58 5399]
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[1] Lü N G 2007 Fourier Optics (Beijing: China Machine Press) p182 (in Chinese) [吕乃光 2007 傅里叶光学 (北京:机械工业出版社) 第182页]
[2] Weng S F 2005 Fourier Transform Infrared Spectrometer (Beijing: Chemical Industry Press) p34 (in Chinese) [翁诗甫 2005 傅里叶变换红外光谱仪(北京:化学工业出版社) 第34页]
[3] Manzardo O 2002 Switzerland: Univ. Neuchatel
[4] Anatoliy M, Henrik A, Goran T, Hans-Erik N 2006 Proc. of SPIE 6395 639504
[5] Lin L, Ren Z, Li G 2008 Spectrosc. Spect. Anal. 28 2067 (in Chinese) [林凌, 任钊, 李刚2008光谱学与光谱分析 28 2067]
[6] Tian E M, Zhang J L, Li X, Zhang Y, Wang Z B 2009 Spectrosc. Spect. Anal. 29 853 (in Chinese) [田二明, 张记龙, 李晓, 张悦, 王志斌 2009 光谱学与光谱分析 29 853]
[7] Kong Y M, Liang J Q, Liang Z Z, Wang B, Zhang J 2009 Proc. of SPIE 7283 728304
[8] Kong Y M, Liang J Q,Wang B, Liang Z Z, Xu DW, Zhang J 2009 Spectrosc. Spect. Anal. 29 1142 (in Chinese) [孔延梅, 梁静秋, 王波, 梁中翥, 徐大伟, 张军 2009 光谱学与光谱分析 29 1142]
[9] Fu J G, Liang Z Z, Liang J Q 2010 Spectrosc. Spect. Anal. 30 3203 (in Chinese) [付建国, 梁中翥, 梁静秋 2010 光谱学与光谱分析 30 3203]
[10] Lü Q B, Yao T, Xiang L B, H M 2010 Spectrosc. Spect. Anal. 30 114 (in Chinese) [吕群波, 姚涛, 相里斌, 黄旻 2010 光谱学与光谱分析 30 114]
[11] Jian X H, Zhang C M, Zhu B H, Ren W Y 2010 Acta Phys. Sin. 59 6131 (in Chinese) [简小华, 张淳民, 祝宝辉, 任文艺 2010物理学报 59 6131]
[12] Fan C X, Zhang F Y, Xu B X, Wu C K 2001 Communication Principles (Beijing: National defence industrial press) p190 (in Chinese) [樊昌信, 张甫翊, 徐炳祥, 吴成柯 2001 通信原理 (北京:国防工业出版社) 第190页]
[13] Zhao K H, Zhong X H 1984 Optics (Vol.2) (Beijing: Peking university Press) p291 (in Chinese) [赵凯华, 钟锡华 1984 光学(下册) (北京:北京大学出版社) 第291页]
[14] Zhang C M, Huang W J, Zhao B C 2010 Acta Phys. Sin. 59 5479 (in Chinese) [张淳民, 黄伟健, 赵葆常 2010 物理学报 59 5479]
[15] Xiang L B, Yuan Y, Lv Q B 2009 Acta Phys. Sin. 58 5399 (in Chinese) [相里斌, 袁艳, 吕群波 2009 物理学报 58 5399]
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