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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 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 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 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 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 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 58 5399]
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