光谱学与光谱分析 |
|
|
|
|
|
Analysis of the Phase Error Non-Linearity of FTS and Discussion about Mertz Method |
LIU Yue, ZHAO Yong-chao, GENG Xiu-rui, TANG Hai-rong, DING Chi-biao |
Institute of Electronics, Chinese Academy of Sciences, Beijing 100080, China |
|
|
Abstract Fourier transform spectrometer is an important instrument in the remote sensing applications. There are phase error problems in the Fourier transform spectrometer signal processing procedure. In the present paper, the cause of phase error of Fourier transform spectrometers is shown firstly. It is mainly because of inaccuracy of sampling. Then the nonlinearity of phase error is analyzed. It is suggested that it is because that the interferogram is of finite length and the interferogram is discrete that this nonlinearity exists. The authors studied this problem with a new method. The nonlinearity is shown by rigorous derivation and the authors draw the conclusion by reasoning. Then through the nonlinearity of phase error, the authors have a discussion on the possible error in the Mertz phase correcting method. The possible error lies in the phase interpolation procedure, a part of Mertz method. A method consisting of zero adding and transforming is given to reduce this error. The methods are compared and illustrated by an experiment which uses simulated interferogram from standard spectrum library. The experiment demonstrates that the method of zero adding and transforming can reduce the phase error of phase interpolation and improve the problem of rapid phase change under some circumstances, which can help get better spectrum.
|
Received: 2008-05-06
Accepted: 2008-08-08
|
|
Corresponding Authors:
LIU Yue
E-mail: liuyueustc@gmail.com
|
|
[1] Mertz L. Transformations in Optics. New York: Wiley, 1965. [2] Mertz L. Infrared Phys., 1967,7: 17. [3] Sanderson R B, Bell E E. Applied Optics, 1973, 12(2): 266. [4] Forman M L, Steel W H, Vanasse G A. J. Opt. Soc. Am., 1966, 56: 59. [5] Sakai H, Vanasse G A, Forman M L. J. Opt. Soc. Am., 1968, 58: 84. [6] Bell R J. Introductory Fourier Transform Spectroscopy. New York: Academic Press, 1972. [7] WENG Shi-fu(翁诗甫). Fourier Transform Infrared Spectrometer(傅里叶变换红外光谱仪). Beijing: Chemical Industry Press(北京:化学工业出版社), 2005. [8] WU Hang-xing, HUA Jian-wen, WANG Pei-gang, et al(吴航行,华建文,王培纲,等). Infrared Technology(红外技术),2004,26(4):25. [9] Revercomb Henry E, Buijs H. Applied Optics, 1988, 27(15): 3210. [10] ZHANG Tian-shu, LIU Wen-qing, GAO Min-guang, et al(张天舒,刘文清,高闽光,等). Spectroscopy and Spectral Analysis(光谱学与光谱分析),2006,26(3):430. [11] Chase D B. Applied Spectroscopy, 1982, 36: 240. [12] Griffiths Peter R, de Haseth James A. Fourier Transform Infrared Spectrometry. New York: John Wiley & Sons, 1986. [13] LI Zhi-gang, WANG Shu-rong, LI Fu-tian(李志刚,王淑荣,李福田). Spectroscopy and Spectral Analysis(光谱学与光谱分析),2000, 20(2): 203. [14] FAN Shi-fu, LI Yan-ning, ZHAO Yu-chun, et al(范世福,李艳宁,赵玉春,等). Analytical Instrumentation(分析仪器),1995,(2):51. [15] Leamer Richard C M, Thorne Anne P, Wynne-Jones Jan. J. Opt. Soc. Am. A, 1995, 12(10): 2165.
|
[1] |
ZHU Xiao-ming1, 2, 3, BAI Xian-yong1, 2, 3*, LIN Jia-ben1, 2, DUAN Wei1, 2, ZHANG Zhi-yong1, 2, FENG Zhi-wei1, 2, DENG Yuan-yong1, 2, YANG Xiao1, 2, HUANG Wei1, 2, 3, HU Xing1, 2, 3. Design and Realization of High-Speed Acquisition System for Two Dimensional Fourier Transform Solar Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(12): 3842-3850. |
[2] |
ZUO Chu1, XIE De-hong2*, WAN Xiao-xia3. Research on Spectral Image Reconstruction Based on Nonlinear Spectral Dictionary Learning From Single RGB Image[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(07): 2092-2100. |
[3] |
WANG Yue1, 3, 4, CHEN Nan1, 2, 3, 4, WANG Bo-yu1, 5, LIU Tao1, 3, 4*, XIA Yang1, 2, 3, 4*. Fourier Transform Near-Infrared Spectral System Based on Laser-Driven Plasma Light Source[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(06): 1666-1673. |
[4] |
JIANG Dan-yang1, WANG Zhi-feng1*, GAO Cheng1, 2, LI Chang-jun1. Spectral Reflectance Reconstruction With Color Constancy[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(04): 1044-1048. |
[5] |
LI Xiang-zhao1, HOU Guo-hui1,2*, HUANG Zhi-fan1, XIAO Jun-jun2. Coherent Anti-Stokes Raman Scattering Imaging for Small Beads[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2021, 41(11): 3648-3652. |
[6] |
WANG Qing-shan, WANG Dong-yang, ZHANG Xiong-jie*, TANG Bin*, WU He-xi. Research on a Decomposing Method of Energy Spectrum Overlapping Peaks Based on Gaussian Sharpening Method[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2021, 41(10): 3245-3250. |
[7] |
LIU Xiao-jie1,2, XU Shuai1,2, LI Yu-qiong1,2, JIN Gang1,2, FENG Ran-ran1,2,3*. Sum-Frequency Spectrum Phase Measurement of the Silica-Octadecyltrichlorosilane Interface and Measurement Accuracy Analysis[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2021, 41(03): 789-795. |
[8] |
CHEN Fang, GAO Chao, BAI Jie. Thickness Matching Design Between Splitter and Compensatorfor High Spectral Resolution Fourier Transform Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2020, 40(12): 3941-3945. |
[9] |
LI Xiao-long1, HE Yan2, CHEN Wei-biao2, JIANG Jing-bo1, LIU Qing-kui1, CHEN Yong-hua1*. Analysis of Nonlinear Variation of Chlorophyll Fluorescence with Saturated Excitation and Its Influence on Chlorophyll Concentration Chlorophyll Concentration Measurement by LIF[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2019, 39(08): 2366-2370. |
[10] |
LIANG Wei*, HAO Wen, LI Xiu-xiu, WANG Ying-hui, YANG Xiu-hong. Multispectral Image LabW2P Codec for Improvement of Both Colorimetric and Spectral Accuracy[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2019, 39(06): 1823-1828. |
[11] |
ZHANG Shang-lu1, 2, HUANG Yin-bo1, LU Xing-ji1, 2, CAO Zhen-song1, DAI Cong-ming1*, LIU Qiang1, GAO Xiao-ming1, RAO Rui-zhong1, WANG Ying-jian1. Retrieval of Atmospheric H2O Column Concentration Based on Mid-Infrared Inter-Band Cascade Laser Heterodyne Radiometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2019, 39(04): 1317-1322. |
[12] |
GU Yu1, XU Xiang-dong1*, LIAN Yu-xiang1, LI Xin-rong1, FAN Kai1, CHENG Xiao-meng1, WANG Fu1, DAI Ze-lin1, XU Jimmy2. Studies and Applications of Organic Nonlinear Material DAST[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2019, 39(03): 665-672. |
[13] |
LIAO Su-yin1, WU Xian-liang2*, LI Gui-hua1, WEI Min1, ZHANG Mei1. Quantitative Analysis of P in Fertilizer by Laser-Induced Breakdown Spectroscopy with Multivariate Nonlinear Method[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2018, 38(01): 271-275. |
[14] |
HOU Xue-shun1, WANG Ying-wei1, WANG Dao-wei1, XIAO Si1, HE Jun1*, GU Bing2*. The Variable Nonlinear Absorption and Carrier Dynamics in GaN Thin Film under the Excitation of Femtosecond Pulses at Ultraviolet Wavelength[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2017, 37(12): 3781-3785. |
[15] |
倪家鹏1,沈 韬1, 2* ,朱 艳2,李灵杰1,毛存礼1,余正涛1. Terahertz Spectroscopic Identification with Diffusion Maps[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2017, 37(08): 2360-2364. |
|
|
|
|