Analysis and Experimental Verification of SNR for a Far Ultraviolet Imaging Spectrograph in 115-180 nm
YU Lei1,2, LIN Guan-yu1, QU Yi1, WANG Shu-rong1*
1. Key Laboratory of Applied Optics,Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China 2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China
Abstract：An 115-180 nm far ultraviolet limb imaging spectrograph prototype was developed for the detection of the ionosphere. For the particularity of the wavelength band in far ultraviolet, the signals accepted by the instrument are very weak. So the sensitivity and signal-noise-ratio (SNR) are two important performance parameters for the spectrograph. In the present paper, based on the signal statistical detection theory and the threshold detection theory, a method for calculation of the sensitivity and SNR has been proposed. Firstly, the probabilities of the accepted signals and system noises were analyzed. Secondly, the mathematical expressions of sensitivity and SNR of the instrument were deduced by introducing the detection probability factor and the false alarm rate factor. Based on the calculation of the sensitivity and the intensity of the particles radiation wavelengths, it was found that the sensitivity can meet the need of the detection. Finally, the SNR of the instrument were analyzed by using the method, and the coherent experiment was built to prove the results. The error of theoretic calculation and experimental results can be accepted. It indicates that the SNR analysis method is feasible.
于 磊1，2，林冠宇1，曲 艺1，王淑荣1* . 115～180 nm远紫外临边成像光谱仪信噪比分析与验证 [J]. 光谱学与光谱分析, 2010, 30(11): 3156-3160.
YU Lei1,2, LIN Guan-yu1, QU Yi1, WANG Shu-rong1* . Analysis and Experimental Verification of SNR for a Far Ultraviolet Imaging Spectrograph in 115-180 nm . SPECTROSCOPY AND SPECTRAL ANALYSIS, 2010, 30(11): 3156-3160.
[1] Schenkel F W, Ogorzalek B S, Larrabee J C, et al. Applied Optics, 1985, 24(20): 3395. [2] Paxton L J, Christensen A B, Morrison D, et al. Proc. of SPIE, 2004, 5660: 228. [3] McCoy Robert P,Dymond Kenneth F,Fritz Gilbert G, et al. OpticalL Engineering, 1994, 33(2): 423. [4] Kalmanson Phillip C, Wilczynske Janusz, Wood Kent, et al. Proc. of SPIE, 2005, 5901: 59010Q-1. [5] Mager Rolf, Fricke Wolfgang, Burrows John，et al. Proc. SPIE, 1999, 3106: 84. [6] ZENG Qing-yong(曾庆勇). Weak Signal Detection, Second Edtion(微弱信号检测·第2版). Hangzhou：Zhejiang University Press(杭州：浙江大学出版社)，2002. 156. [7] WANG Gui-hua(汪贵华). Photoelectron Device, First Edtion(光电子器件·第1版). Beijing: National Defense Industry Press(北京：国防工业出版社)，2009. 101. [8] LI Min, FAN Xian-hong, NI Qi-liang, et al(李 敏, 范鲜红, 尼启良，等). Optics and Precision Engineering(光学精密工程)，2008, 16(1): 1. [9] Whalen A D. Detection of Signals in Noise(First edition). New York and London：Academic Press, 1971. 145. [10] ZHOU Li-wei(周立伟). Target Detection and Identification(目标探测与识别). Beijing: Beijing Institute of Technology Press(北京: 北京理工大学出版社), 2004. 293. [11] Christensen Andrew B, Walterscheid R L, Ross M N. SPIE，1994，2266: 451. [12] Morrison Daniel, Paxton Larry, Humm Dave, et al. Proceeding of SPIE，2002, 4485: 328. [13] ZHANG Zhen-duo, WANG Shu-rong, LI Fu-tian(张振铎, 王淑荣, 李福田). Optics and Precision Engineering(光学精密工程)，2009, 17(3): 482.
