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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 33 — Nov. 20, 1997
  • pp: 8650–8669

Effect of speckle on lidar pulse-pair ratio statistics

Edward P. MacKerrow, Mark J. Schmitt, and David C. Thompson  »View Author Affiliations


Applied Optics, Vol. 36, Issue 33, pp. 8650-8669 (1997)
http://dx.doi.org/10.1364/AO.36.008650


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Abstract

The ratio of temporally adjacent lidar pulse returns is commonly used in differential absorption lidar (DIAL) to reduce correlated noise. These pulses typically are generated at different wavelengths with the assumption that the dominant noise is common to both. This is not the case when the mean number of laser speckle integrated per pulse by the lidar receiver is small (namely, less than 10 speckles at each wavelength). In this case a large increase in the standard deviation of the ratio data results. We demonstrate this effect both theoretically and experimentally. The theoretical value for the expected standard deviation of the pulse–pair ratio data compares well with the measured values that used a dual CO2 laser-based lidar with a hard target. Pulse averaging statistics of the pulse–pair data obey the expected ς1/ √N reduction in the standard deviation, ςN, for N-pulse averages. We consider the ratio before average, average before ratio, and log of the ratio before average methods for noise reduction in the lidar equation. The implications of our results are discussed in the context of dual-laser versus single-laser lidar configurations.

© 1997 Optical Society of America

Citation
Edward P. MacKerrow, Mark J. Schmitt, and David C. Thompson, "Effect of speckle on lidar pulse-pair ratio statistics," Appl. Opt. 36, 8650-8669 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-33-8650


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References

  1. R. M. Measures, Laser Remote Sensing, Fundamentals and Applications (Krieger, Malabar, Fla., 1992).
  2. W. B. Grant, “He–Ne and cw CO2 laser long-path systems for gas detection,” Appl. Opt. 25, 709–719 (1986).
  3. D. K. Killinger and N. Menyuk, “Effect of turbulence-induced correlation on laser remote sensing errors,” Appl. Phys. Lett. 38, 968–970 (1981).
  4. R. M. Schotland, “Errors in the lidar measurement of atmospheric gases by differential absorption,” J. Appl. Meteorol. 13, 71–77 (1974).
  5. M. J. T. Milton and P. T. Woods, “Pulse averaging methods for a laser remote monitoring system using atmospheric backscatter,” Appl. Opt. 26, 2598–2603 (1987).
  6. Y. Sasano, E. V. Browell, and S. Ismail, “Error caused by using a constant extinction/backscattering ratio in the lidar solution,” Appl. Opt. 24, 3929–3932 (1985).
  7. H. Ahlberg, S. Lundqvist, M. S. Shumate, and U. Persson, “Analysis of errors caused by optical interference effects in wavelength-diverse CO2 laser long-path systems,” Appl. Opt. 24, 3917–3923 (1985).
  8. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed. (Springer-Verlag, New York, 1984), Chap. 2.
  9. G. Parry, “Speckle patterns in partially coherent light,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed. (Springer-Verlag, New York, 1984), Chap. 3.
  10. L. G. Shirley, E. E. Arieal, G. R. Hallerman, H. C. Payson, and J. R. Vivilecchia, “Advanced techniques for target discrimination using laser speckle,” Mass. Inst. Technol. Lincoln Lab. J. 5, 367–440 (1992).
  11. T. Okamoto and T. Asakura, “The statistics of dynamic speckles,” Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1995), Vol. 34, pp. 183–248.
  12. E. P. MacKerrow and M. J. Schmitt, “Measurement of integrated speckle statistics for CO2 lidar returns from a moving, non-uniform, hard-target,” Appl. Opt. 36, 6921–6937 (1997).
  13. J. W. Goodman, “Some effects of target-induced scintillation on optical radar performance,” Proc. IEEE 53, 1688–1700 (1965).
  14. J. A. Fox, C. R. Gautier, and J. L. Ahl, “Practical consideration for the design of CO2 lidar systems,” Appl. Opt. 27, 847–855 (1988).
  15. W. B. Grant, A. M. Brothers, and J. R. Bogan, “Differential absorption lidar signal averaging,” Appl. Opt. 27, 1934–1938 (1988).
  16. P. R. Bevington, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, New York, 1969).
  17. W. R. Leo, Techniques for Nuclear and Particle Physics Experiments (Springer-Verlag, Berlin, 1987), Chap. 4.
  18. F. James and M. Roos, “Errors on ratios of small number of events,” Nucl. Phys. B 172, 475–480 (1980).
  19. R. E. Warren, “Effect of pulse-pair correlation on differential absorption lidar,” Appl. Opt. 24, 3472–3475 (1985).
  20. S. L. Meyer, Data Analysis for Scientists and Engineers (Wiley, New York, 1975).
  21. This integral was evaluated using the software Mathematica Version 3.0 (Wolfram Research, Inc., Champaign, Ill., 1996).
  22. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965), Chap. 5.
  23. J. S. Simonoff, Smoothing Methods in Statistics (Springer-Verlag, New York, 1996), Chap. 2.
  24. G. E. P. Box, G. M. Jenkins, and G. C. Reinsel, Time Series Analysis: Forecasting and Control (Prentice-Hall, Englewood Cliffs, N.J., 1994), pp. 30–31.
  25. G. M. Jenkins, and D. G. Watts, Spectral analysis and its applications (Holden-Day, San Francisco, Calif., 1968), pp. 155–289.
  26. N. Menyuk, D. K. Killinger, and C. R. Menyuk, “Limitations of signal averaging due to temporal correlation in laser remote-sensing measurements,” Appl. Opt. 21, 3377–3383 (1982).
  27. G. D. Boreman, Y. Sun, and A. B. James, “Generation of laser speckle with an integrating sphere,” Opt. Eng. 29, 339–342 (1990).
  28. G. E. Busch, “Speckle error in transmitter energy measurement,” Los Alamos Int. Rep. CST-1-GB020696 (Los Alamos National Laboratory, Chemical Science and Technology Division, Los Alamos, N. Mex., 1996), pp. 1–6.
  29. S. J. Czuchlewski, “Speckle effects with integrating spheres,” Los Alamos Int. Rep. CZ-96–10 (Los Alamos National Laboratory, Chemical Science and Technology Division, Los Alamos, N. Mex., 1996), pp. 1–6.
  30. American National Standard for Information Systems, IEEE Standard for Binary Floating-Point Numbers, ANSI/IEEE Std. 754–1985 (IEEE, New York, 1985).
  31. N. Menyuk and D. K. Killinger, “Assessment of relative error sources in IR DIAL measurement accuracy,” Appl. Opt. 22, 2690–2698 (1983).
  32. N. Menyuk, D. K. Killinger, and C. R. Menyuk, “Error reduction in laser remote sensing: combined effects of cross correlation and signal averaging,” Appl. Opt. 24, 118–131 (1985).

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