Applied Physics B

, Volume 103, Issue 1, pp 207–222 | Cite as

Simulation and high-precision wavelength determination of noisy 2D Fabry–Pérot interferometric rings for direct-detection Doppler lidar and laser spectroscopy

Article

Abstract

Doppler wind lidar (DWL) measurements by the fringe-imaging technique in front of aircrafts at flight speed require rapid processing of backscattered signals. We discuss the measurement principle to derive the 3D wind vector from three line-of-sight (LOS) measurements. Then we simulate realistic fringe patterns of a Fabry–Pérot-interferometer (FPI) on a 2D charge-coupled device (CCD) localized at the focal plane behind it, taking atmospheric and instrument properties like scattering and noise into account. A laser at 355 nm with pulse energies of 70 mJ at 100 Hz repetition rate and a range bin of only 10 m were assumed. This yields count rates of 24 (13) million photons per pulse at 56 (76) m distance and 8.5 km altitude that are distributed on a CCD with up to 960×780 pixels without intensification and therefore generate noisy pixel signals. We present two methods for the precise determination of the radii, i.e., wavelengths of these simulated FPI rings and show that both are suitable for eliminating pixel noise from the output and coping with fringe broadening by Rayleigh scattering. One of them proves to reach the accuracy necessary for LOS velocity measurements. A standard deviation of 2.5 m/s including center determination can be achieved with only 20 images to average. The bias is 7 m/s. For exactly known ring centers, each can be even better than 2 m/s. The methods could also be useful for high-resolution laser spectroscopy.

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References

  1. 1.
    C. Werner, in Lidar: Range-Resolved Optical Remote Sensing of the Atmosphere, ed. by C. Weitkamp. Springer Series in Optical Sciences (Springer, New York, 2005), pp. 325–354 Google Scholar
  2. 2.
    R. Frehlich, S.M. Hannon, S.W. Henderson, J. Atmos. Ocean. Technol. 11, 1517 (1994) CrossRefADSGoogle Scholar
  3. 3.
    S. Rahm, Opt. Lett. 26, 319 (2001) CrossRefADSGoogle Scholar
  4. 4.
    O. Reitebuch, C. Werner, I. Leike, P. Delville, P.H. Flamant, A. Cress, D. Engelbart, J. Atmos. Ocean. Technol. 18, 1331 (2001) CrossRefADSGoogle Scholar
  5. 5.
    H. Inokuchi, H. Tanaka, T. Ando, in Proceedings of the 26th International Congress of the Aeronautical Sciences (2008), pp. 1–8 Google Scholar
  6. 6.
    A. Dolfi-Bouteyre, G. Canat, M. Valla, B. Augère, C. Besson, D. Goular, L. Lombard, J.-P. Cariou, A. Durecu, D. Fleury, L. Bricteux, S. Brousmiche, S. Lugan, B. Macq, IEEE J. Sel. Top. Quantum Electron. 15, 441 (2009) CrossRefGoogle Scholar
  7. 7.
    M.L. Chanin, A. Garnier, A. Hauchecorne, J. Porteneuve, Geophys. Res. Lett. 16, 1273 (1989) CrossRefADSGoogle Scholar
  8. 8.
    A. Garnier, M.-L. Chanin, Appl. Phys. B 55, 35 (1992) CrossRefADSGoogle Scholar
  9. 9.
    C.L. Korb, B.M. Gentry, C.Y. Weng, Appl. Opt. 31, 4202 (1992) CrossRefADSGoogle Scholar
  10. 10.
    J.A. McKay, Appl. Opt. 37, 6480 (1998) CrossRefADSGoogle Scholar
  11. 11.
    C.L. Korb, B.M. Gentry, S.X. Li, C. Flesia, Appl. Opt. 37, 3097 (1998) CrossRefADSGoogle Scholar
  12. 12.
    C. Souprayen, A. Garnier, A. Hertzog, Appl. Opt. 38, 2422 (1999) CrossRefADSGoogle Scholar
  13. 13.
    B.M. Gentry, H. Chen, S.X. Li, Opt. Lett. 25, 1231 (2000) CrossRefADSGoogle Scholar
  14. 14.
    O. Reitebuch, C. Lemmerz, E. Nagel, U. Paffrath, Y. Durand, M. Endemann, F. Fabre, M. Chaloupy, J. Atmos. Ocean. Technol. 26, 2501 (2009) CrossRefADSGoogle Scholar
  15. 15.
    Z.S. Liu, W.B. Shen, T.L. Zhang, J.W. Hair, C.Y. She, Appl. Phys. B 64, 561 (1997) CrossRefADSGoogle Scholar
  16. 16.
    J.N. Forkey, W.R. Lempert, R.B. Miles, Appl. Opt. 36, 6729 (1997) CrossRefADSGoogle Scholar
  17. 17.
    Z.S. Liu, B.Y. Liu, Z.G. Li, Z.A. Yan, S.H. Wu, Z.B. Sun, Appl. Phys. B 88, 327 (2007) CrossRefADSGoogle Scholar
  18. 18.
    D. Rees, I.S. McDermid, Appl. Opt. 29, 4133 (1990) CrossRefADSGoogle Scholar
  19. 19.
    C.A. Tepley, S.I. Sargoytchev, R. Rojas, IEEE Trans. Geosci. Remote Sens. 31, 36 (1993) CrossRefADSGoogle Scholar
  20. 20.
    K.W. Fischer, V.J. Abreu, W.R. Skinner, J.E. Barnes, M.J. McGill, T.D. Irgang, Opt. Eng. 34, 499 (1995) CrossRefADSGoogle Scholar
  21. 21.
    M.J. McGill, W.R. Skinner, T.D. Irgang, Appl. Opt. 36, 1928 (1997) CrossRefADSGoogle Scholar
  22. 22.
    N. Cézard, A. Dolfi-Bouteyre, J.-P. Huignard, P.H. Flamant, Appl. Opt. 48, 2321 (2009) CrossRefADSGoogle Scholar
  23. 23.
    J.A. McKay, Appl. Opt. 37, 6487 (1998) CrossRefADSGoogle Scholar
  24. 24.
    M.J. McGill, J.D. Spinhirne, Opt. Eng. 37, 2675 (1998) CrossRefADSGoogle Scholar
  25. 25.
    N.P. Schmitt, W. Rehm, T. Pistner, P. Zeller, H. Diehl, P. Navé, Aerosp. Sci. Technol. 11, 546 (2007) CrossRefGoogle Scholar
  26. 26.
    G. Jenaro Rabadan, N.P. Schmitt, T. Pistner, W. Rehm, J. Aircr. 47, 392 (2010) CrossRefGoogle Scholar
  27. 27.
    S.C. Snyder, L.D. Reynolds, G.D. Lassahn, J.R. Fincke, C.B. Shaw Jr., R.J. Kearney, Phys. Rev. E 47, 1996 (1993) CrossRefADSGoogle Scholar
  28. 28.
    R.L. McKenzie, Appl. Opt. 35, 948 (1996) CrossRefADSGoogle Scholar
  29. 29.
    R.G. Seasholtz, A.E. Buggele, M.F. Reeder, Opt. Lasers Eng. 27, 543 (1997) CrossRefGoogle Scholar
  30. 30.
    M.M. Clem, A.F. Mielke-Fagan, K.A. Elam, in 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, January 4–7 (2010). AIAA 2010-855 Google Scholar
  31. 31.
    T.L. Killeen, B.C. Kennedy, P.B. Hays, D.A. Symanow, D.H. Ceckowski, Appl. Opt. 22, 3503 (1983) CrossRefADSGoogle Scholar
  32. 32.
    P.B. Hays, Appl. Opt. 29, 1482 (1990) CrossRefADSGoogle Scholar
  33. 33.
    J. Wu, J. Wang, P.B. Hays, Appl. Opt. 33, 7823 (1994) CrossRefADSGoogle Scholar
  34. 34.
    M.J. McGill, M. Marzouk, V.S. Scott, J.D. Spinhirne, Opt. Eng. 36, 2171 (1997) CrossRefADSGoogle Scholar
  35. 35.
    J.M. Vaughan, The Fabry–Perot Interferometer (Adam Hilger, Bristol, 1989) Google Scholar
  36. 36.
    G. Hernandez, Fabry–Perot Interferometers (Cambridge University Press, Cambridge, 1986) Google Scholar
  37. 37.
    K.W. Meissner, J. Opt. Soc. Am. 31, 405 (1941) CrossRefADSGoogle Scholar
  38. 38.
    N. Barakat, M. Medhat, Opt. Acta 33, 939 (1986) ADSCrossRefGoogle Scholar
  39. 39.
    T.J. Scholl, S.J. Rehse, R.A. Holt, S.D. Rosner, Rev. Sci. Instrum. 75, 3318 (2004) CrossRefADSGoogle Scholar
  40. 40.
    M. O’Hora, B. Bowe, V. Toal, J. Opt. A, Pure Appl. Opt. 7, 364 (2005) CrossRefGoogle Scholar
  41. 41.
    T. Schröder, C. Lemmerz, O. Reitebuch, M. Wirth, C. Wührer, R. Treichel, Appl. Phys. B 87, 437 (2007) CrossRefADSGoogle Scholar
  42. 42.
    V.A. Banakh, I.N. Smalikho, F. Köpp, C. Werner, Appl. Opt. 34, 2055 (1995) CrossRefADSGoogle Scholar
  43. 43.
    S.R. Pal, A.I. Carswell, Appl. Opt. 15, 1990 (1976) CrossRefADSGoogle Scholar
  44. 44.
    L.R. Bissonnette, P. Bruscaglioni, A. Ismaelli, G. Zaccanti, A. Cohen, Y. Benayahu, M. Kleiman, S. Egert, C. Flesia, P. Schwendimann, A.V. Starkov, M. Noormohammadian, U.G. Oppel, D.M. Winker, E.P. Zege, I.L. Katsev, I.N. Polonsky, Appl. Phys. B 60, 355 (1995) CrossRefADSGoogle Scholar
  45. 45.
    L.I. Chaikovskaya, E.P. Zege, I.L. Katsev, M. Hirschberger, U.G. Oppel, Appl. Opt. 48, 623 (2009) CrossRefADSGoogle Scholar
  46. 46.
    D. Pierrottet, F. Amzajerdian, L. Petway, B. Barnes, G. Lockard, Proc. SPIE 7323, 732311 (2009) CrossRefGoogle Scholar
  47. 47.
    N. Lindlein, G. Leuchs, in Springer Handbook of Lasers and Optics, ed. by F. Träger (Springer, New York, 2007), pp. 61–67. Chap. 2.4: Ray Tracing Google Scholar
  48. 48.
    W. Demtröder, Laser Spectroscopy. Vol. 1: Basic Principles, 4th edn. (Springer, Berlin/Heidelberg, 2008) Google Scholar
  49. 49.
    A. Ansmann, U. Wandinger, O. Le Rille, D. Lajas, A.G. Straume, Appl. Opt. 46, 6606 (2007) CrossRefADSGoogle Scholar
  50. 50.
    U. Paffrath, C. Lemmerz, O. Reitebuch, B. Witschas, I. Nikolaus, V. Freudenthaler, J. Atmos. Ocean. Technol. 26, 2516 (2009) CrossRefADSGoogle Scholar
  51. 51.
    J.M. Vaughan, D.W. Brown, C. Nash, S.B. Alejandro, G.G. Koenig, J. Geophys. Res. 100(D1), 1043 (1995) CrossRefADSGoogle Scholar
  52. 52.
    J.M. Vaughan, N.J. Geddes, P.H. Flamant, C. Flesia, Establishment of a backscatter coefficient and atmospheric database, ESA contract 12510/97/NL/RE, 110 pp. (1998) Google Scholar
  53. 53.
    A.T. Young, Phys. Today 35, 42 (1982) CrossRefADSGoogle Scholar
  54. 54.
    A.T. Young, G.W. Kattawar, Appl. Opt. 22, 3668 (1983) CrossRefADSGoogle Scholar
  55. 55.
    C.-Y. She, Appl. Opt. 40, 4875 (2001) CrossRefADSGoogle Scholar
  56. 56.
    R.B. Miles, W.R. Lempert, J.N. Forkey, Meas. Sci. Technol. 12, R33 (2001) CrossRefADSGoogle Scholar
  57. 57.
    B.-Y. Liu, M. Esselborn, M. Wirth, A. Fix, D.-C. Bi, G. Ehret, Appl. Opt. 48, 5143 (2009) CrossRefADSGoogle Scholar
  58. 58.
    B. Witschas, M. Vieitez, E.-J. van Duijn, O. Reitebuch, W. van de Water, W. Ubachs, Appl. Opt. 49, 4217 (2010) CrossRefADSGoogle Scholar
  59. 59.
    R.T.H. Collis, P.B. Russell, in Laser Monitoring of the Atmosphere, ed. by E.D. Hinkley. Topics in Applied Physics, vol. 14 (Springer, Berlin/Heidelberg, 1976), pp. 71–151 CrossRefGoogle Scholar
  60. 60.
    R.M. Measures, Laser Remote Sensing (Wiley, Florida, 1992) Google Scholar
  61. 61.
    G.J. Marseille, A. Stoffelen, Q. J. R. Meteorol. Soc. 129, 3079 (2003) CrossRefADSGoogle Scholar
  62. 62.
    K.S.W. Champion, in Handbook of Geophysics and the Space Environment, ed. by A.S. Jursa (1985). United States Air Force Geophysics Laboratory, 14-1 Google Scholar
  63. 63.
    G.A. Reider, Photonik, 2nd edn. (Springer, Wien/New York, 2005) CrossRefGoogle Scholar
  64. 64.
  65. 65.
    K. Arisaka, Nucl. Instrum. Methods A 442, 80 (2000) CrossRefADSGoogle Scholar
  66. 66.
    J.E. Carranza, E. Gibb, B.W. Smith, D.W. Hahn, J.D. Winefordner, Appl. Opt. 42, 6016 (2003) CrossRefADSGoogle Scholar
  67. 67.
    W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd edn. (Cambridge University Press, Cambridge, 2007) MATHGoogle Scholar
  68. 68.
    D. Dussault, P. Hoess, Proc. SPIE 5563, 195 (2004) CrossRefADSGoogle Scholar
  69. 69.
    Z. Liu, W. Hunt, M. Vaughan, C. Hostetler, M. McGill, K. Powell, D. Winker, Y. Hu, Appl. Opt. 45, 4437 (2006) CrossRefADSGoogle Scholar
  70. 70.
    N. Cézard, A. Dolfi-Bouteyre, J.-P. Huignard, P. Flamant, Proc. SPIE 6750, 0801 (2007) Google Scholar
  71. 71.
    G. Ehret, C. Kiemle, M. Wirth, A. Amediek, A. Fix, S. Houweling, Appl. Phys. B 90, 593 (2008) CrossRefADSGoogle Scholar
  72. 72.
    B. Mayer, A. Kylling, Atmos. Chem. Phys. Discuss. 5, 1319 (2005) CrossRefADSGoogle Scholar
  73. 73.
    C. Flesia, C.L. Korb, Appl. Opt. 38, 432 (1999) CrossRefADSGoogle Scholar
  74. 74.
    J.E. Bresenham, IBM Syst. J. 4, 25 (1965) CrossRefGoogle Scholar
  75. 75.
    A. Savitzky, M.L.E. Golay, Anal. Chem. 36, 1627 (1964) CrossRefADSGoogle Scholar
  76. 76.
    H. Ziegler, Appl. Spectrosc. 35, 88 (1981) CrossRefADSGoogle Scholar
  77. 77.
    S.A. Diddams, D.J. Jones, J. Ye, S.T. Cundiff, J.L. Hall, J.K. Ranka, R.S. Windeler, R. Holzwarth, Th. Udem, T.W. Hänsch, Phys. Rev. Lett. 84, 5102 (2000) CrossRefADSGoogle Scholar
  78. 78.
    Th. Udem, R. Holzwarth, T.W. Hänsch, Nature 416, 233 (2002) CrossRefADSGoogle Scholar
  79. 79.
    R. Frehlich, J. Atmos. Ocean. Technol. 18, 1628 (2001) CrossRefADSGoogle Scholar
  80. 80.
    F. Andreucci, M.V. Arbolino, in IEEE Geoscience & Remote Sensing Symposium, vol. 3 (1995), pp. 2319–2322 Google Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Institut für Physik der Atmosphäre (IPA)Deutsches Zentrum für Luft- und Raumfahrt (DLR)WesslingGermany

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