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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 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 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 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 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 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 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 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 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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