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本文提出了宽场、消色差、温度补偿风成像干涉仪(FATWindII)中次级条纹的精确计算模型, 并模拟了次级条纹在探测器上的分布; 计算了由次级条纹引起的温度与风速的反演误差.在三维坐标下, 推导了任意倾斜角楔形补偿玻璃的调制度调制函数和相位漂移公式, 并得到了FATWindII的楔形补偿玻璃的最佳倾斜角. 结论表明, 采用增透膜与楔形补偿玻璃结合的方法可将FATWindII中的次级条纹的相对强度压制到低于2.5%, 并使次级条纹引入的温度和风速反演误差低于0.05 K和0.045 m/s. 此研究为宽场、消色差、温度补偿风成像干涉仪的设计、研制以及定标提供了重要的理论依据及实践指导.The accurate method to calculate secondary fringes of field-widened, achromatic, temperature-compensated wind imaging interferometer (FATWindII) is presented, and the distribution of secondary fringes on instrument detector is simulated. The effects of secondary fringes on inversion errors of temperature and wind velocity are calculated. The formulas of modulation functions and phase shifts are derived when the wedge compensating glasses with arbitrary tilt angles, and the optimal tilt angles of wedge compensating glasses are obtained in FATWindII. By adopting antireflection film and wedge compensating glasses, the relative intensity of secondary fringes is reduced to below 2.5%, and the inversion errors of temperature and wind velocity introduced by the effects of secondary fringes can be minimized to about 0.05 K and 0.045 m·s-1 respectively. The research has important theoretical significance and practical guidance for the FATWind instrument design, fabrication and calibration.
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Keywords:
- upper atmosphere measurement /
- secondary fringes /
- inversion errors /
- wedge compensating glasses
[1] Shepherd G G, Thuillier G, Gault W A, Solheim B H, Hersom C, Alunni J M, Brun J F, Brune S, Charlot P, Cogger L L, Desaulniers D L, Evans W F J, Gattinger R L, Girod F, Harvie D, Hum R H, Kendall D J W, Llewellyn E J, Lowe R P, Ohrt J, Pasternak F, Peillet O, Powell I, Rochon Y, Ward W E, Wiens R H, Wimperis J 1993 J. Geophys Res-Atmos 98 10725
[2] Thuillier G, Shepherd G G 1985 Appl. Opt. 24 1599
[3] Zhang C M, Zhao B C, Xiang L B 2004 Appl. Opt. 30 6069
[4] Zhang C M, Xiang L B, Zhao B C 2004 J. Opt. A: Pure Appl. Opt. 8 815
[5] Zhang C M, Xiang L B, Zhao B C 2002 Opt. Commun. 1-2 21
[6] Zhang C M, He J 2006Optics Express 14 12560
[7] Mu T K, Zhang C M 2010 Chinese Physics B 19 060702
[8] Jian X H, Zhang C M, Zhang L, Zhao B C 2010 Optics Express 18 5674
[9] Zhang C M, Jian X H 2010 Opt. Lett. 35 366
[10] Title A M, Ramsey H E 1980 Appl. Opt. 19 2047
[11] Bird J C, Liang F, Solheim B H, Shepherd G G 1995 Meas. Sci. Technol. 6 1368
[12] Gault W A, Sargoytchev S, Shepherd G G 1996 Proceedings of SPIE 2830 15
[13] Gault W A, Sargoytchev S, Brown S 2001 Proceedings of SPIE 4306 266
[14] Liu N, Zhang C M, Wang J C 2010 Acta Phys. Sin. 59 4369 (in Chinese) [刘宁, 张淳民, 王金婵, 穆廷魁 2010物理学报 59 4369]
[15] Wang J C, Zhang C M, Zhao B C, Liu N 2010 Acta Phys. Sin. 59 1631 (in Chinese) [王金婵, 张淳民, 赵葆常, 刘宁 2010 物理学报 59 1631]
[16] Zhang C M, Zhu H C, Zhao B C 2011 Opt. Exp. 19 9626
[17] Hersom C H 1993 Ph. D. Dissertation (Canada: York University)
[18] Bu Z C, Zhang C M, Zhao B C, Zhu H C 2009 Acta Phys. Sin. 58 2415 [步志超, 张淳民, 赵葆常, 朱化春 2009 物理学报 58 2415]
[19] Zhu H C, Zhang C M, Jian X H 2010 Acta Phys. Sin. 59 893 [朱化春, 张淳民, 简小华 2010 物理学报 59 893]
[20] Rochon Y 2000 Ph. D. Dissertation (Canada: York University) (in English)
[21] Shepherd G G, Gault W A, Miller D W, Pasturczyk Z, Johnston S F, Kosteniuk P R, Haslett J W, Kendall D J W, Wimperis J R 1985 Appl. Opt. 24 1571
[22] Shepherd G G 1987 Surv. Geophys. 9 185
[23] Ward W E, Pasturczyk Z, Gault W A, Shepherd G G 1985 Appl. Opt. 24 1589
[24] Born M, Wolf E 2007 Principle of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light Seventh (Expanded) Edition (7th Ed.) (BeiJing: Publishing House of Electronics Industry) p32
[25] Bell R J 1972 Introductory Fourier Transform Spectroscopy (New York: Academic Press) p37
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[1] Shepherd G G, Thuillier G, Gault W A, Solheim B H, Hersom C, Alunni J M, Brun J F, Brune S, Charlot P, Cogger L L, Desaulniers D L, Evans W F J, Gattinger R L, Girod F, Harvie D, Hum R H, Kendall D J W, Llewellyn E J, Lowe R P, Ohrt J, Pasternak F, Peillet O, Powell I, Rochon Y, Ward W E, Wiens R H, Wimperis J 1993 J. Geophys Res-Atmos 98 10725
[2] Thuillier G, Shepherd G G 1985 Appl. Opt. 24 1599
[3] Zhang C M, Zhao B C, Xiang L B 2004 Appl. Opt. 30 6069
[4] Zhang C M, Xiang L B, Zhao B C 2004 J. Opt. A: Pure Appl. Opt. 8 815
[5] Zhang C M, Xiang L B, Zhao B C 2002 Opt. Commun. 1-2 21
[6] Zhang C M, He J 2006Optics Express 14 12560
[7] Mu T K, Zhang C M 2010 Chinese Physics B 19 060702
[8] Jian X H, Zhang C M, Zhang L, Zhao B C 2010 Optics Express 18 5674
[9] Zhang C M, Jian X H 2010 Opt. Lett. 35 366
[10] Title A M, Ramsey H E 1980 Appl. Opt. 19 2047
[11] Bird J C, Liang F, Solheim B H, Shepherd G G 1995 Meas. Sci. Technol. 6 1368
[12] Gault W A, Sargoytchev S, Shepherd G G 1996 Proceedings of SPIE 2830 15
[13] Gault W A, Sargoytchev S, Brown S 2001 Proceedings of SPIE 4306 266
[14] Liu N, Zhang C M, Wang J C 2010 Acta Phys. Sin. 59 4369 (in Chinese) [刘宁, 张淳民, 王金婵, 穆廷魁 2010物理学报 59 4369]
[15] Wang J C, Zhang C M, Zhao B C, Liu N 2010 Acta Phys. Sin. 59 1631 (in Chinese) [王金婵, 张淳民, 赵葆常, 刘宁 2010 物理学报 59 1631]
[16] Zhang C M, Zhu H C, Zhao B C 2011 Opt. Exp. 19 9626
[17] Hersom C H 1993 Ph. D. Dissertation (Canada: York University)
[18] Bu Z C, Zhang C M, Zhao B C, Zhu H C 2009 Acta Phys. Sin. 58 2415 [步志超, 张淳民, 赵葆常, 朱化春 2009 物理学报 58 2415]
[19] Zhu H C, Zhang C M, Jian X H 2010 Acta Phys. Sin. 59 893 [朱化春, 张淳民, 简小华 2010 物理学报 59 893]
[20] Rochon Y 2000 Ph. D. Dissertation (Canada: York University) (in English)
[21] Shepherd G G, Gault W A, Miller D W, Pasturczyk Z, Johnston S F, Kosteniuk P R, Haslett J W, Kendall D J W, Wimperis J R 1985 Appl. Opt. 24 1571
[22] Shepherd G G 1987 Surv. Geophys. 9 185
[23] Ward W E, Pasturczyk Z, Gault W A, Shepherd G G 1985 Appl. Opt. 24 1589
[24] Born M, Wolf E 2007 Principle of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light Seventh (Expanded) Edition (7th Ed.) (BeiJing: Publishing House of Electronics Industry) p32
[25] Bell R J 1972 Introductory Fourier Transform Spectroscopy (New York: Academic Press) p37
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