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Research of secondary fringes in field-widened achromatic, temperature-compensated wind, imaging interferometer (FATWindII)

Dai Hai-Shan Zhang Chun-Min Mu Ting-Kui

Research of secondary fringes in field-widened achromatic, temperature-compensated wind, imaging interferometer (FATWindII)

Dai Hai-Shan, Zhang Chun-Min, Mu Ting-Kui
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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.
    • Funds: Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA121101), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. E0310/1112/JC02), the National Natural Science Foundation of China (Grant No. 40875013), and the open subject of 2011 provincial key laboratory of Soochow University(Grant No.KJS1001).
    [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

  • [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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  • Received Date:  17 April 2012
  • Accepted Date:  08 June 2012
  • Published Online:  20 November 2012

Research of secondary fringes in field-widened achromatic, temperature-compensated wind, imaging interferometer (FATWindII)

  • 1. MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi’an Jiaotong University, Xi’an 710049, China
Fund Project:  Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA121101), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. E0310/1112/JC02), the National Natural Science Foundation of China (Grant No. 40875013), and the open subject of 2011 provincial key laboratory of Soochow University(Grant No.KJS1001).

Abstract: 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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