## Analytical Differentiation of the Differential-Absorption-Lidar Data Distorted by Noise

Applied Optics, Vol. 41, Issue 6, pp. 1156-1162 (2002)

http://dx.doi.org/10.1364/AO.41.001156

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### Abstract

A method of analytical differentiation is developed for processing differential absorption lidar (DIAL) data. The method is based on simple analytical transformation of the DIAL *on* and *off* signal ratio. The derivatives consequently are found for either individual data points or local zones of the measurement range. The method makes possible the separation of local zones of interest and the separate investigation of these. The smoothing level is established by the selected value of the exponent in a transformation formula rather than by the selection of the resolution range. The method does not require the calculation of local signal increments. This reduces significantly the high-frequency noise in the measured concentration. The method is general and can be used for different experimental data, including inelastic (Raman) lidar data. The processing technique is practical and does not require a determination of the solution for a large set of algebraic equations. It is based on the simple repetition of the same type of calculations with different constants. The method can easily be implemented for practical computations.

© 2002 Optical Society of America

**OCIS Codes**

(070.6020) Fourier optics and signal processing : Continuous optical signal processing

(280.1120) Remote sensing and sensors : Air pollution monitoring

(280.1910) Remote sensing and sensors : DIAL, differential absorption lidar

(280.3640) Remote sensing and sensors : Lidar

**Citation**

Vladimir A. Kovalev, "Analytical Differentiation of the Differential-Absorption-Lidar Data Distorted by Noise," Appl. Opt. **41**, 1156-1162 (2002)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-6-1156

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### References

- R. M. Measures, Laser remote sensing (Wiley, New York, 1984).
- E. V. Browell, S. Ismail, and S. T. Shipley, “Ultraviolet DIAL measurements of O3 profiles in regions of spatially inhomogeneous aerosols,” Appl. Opt. 24, 2827–2836 (1985).
- V. E. Zuev, Yu. S. Makushkin, V. N. Marichev, A. A. Mitsel, and V. V. Zuev, “Lidar differential absorbing and scattering technique: theory,” Appl. Opt. 22, 3733–3741 (1983).
- A. Ansmann, M. Riebesell, and C. Weitkamp, “Measurement of atmospheric aerosol extinction profiles with a Raman lidar,” Opt. Lett. 15, 746–748 (1990).
- G. Beyerle and S. McDermid, “Altitude range resolution of differential absorption lidar ozone profiles,” Appl. Opt. 38, 924–927 (1999).
- Numerical Recipes. The Art of Scientific Computing (Cambridge U. Press, Cambridge, England, 1986).
- C. R. Wylie and L. C. Barrett, Advanced Engineering Mathematics (McGraw-Hill, New York, 1982).
- B. P. Ivanenko and I. E. Naats, “Integral-equation method for interpreting laser-sounding data on atmospheric gas components using differential absorption,” Opt. Lett. 6, 305–307 (1981).
- A. N. Tikhonov and V. Y. Arsenin, Solution of Ill-Posed Problems (Wiley, New York, 1977).
- J. Pelon and G. Megie, “Ozone monitoring in the troposphere and lower stratosphere: evaluation and operation of a ground-based lidar station,” J. Geophys. Res. 87, 4947–4955 (1982).
- I. S. McDermid, S. M. Godin, and L. O. Lindqvist, “Ground-based laser DIAL system for long-term measurements of stratospheric ozone,” Appl. Opt. 29, 3603–3612 (1990).
- D. N. Whiteman, “Application of statistical methods to the determination of slope in lidar data,” Appl. Opt. 38, 3360–3369 (1999).
- S. Godin, A. I. Carswell, D. P. Donovan, H. Claude, W. Steinbrecht, I. S. McDermid, T. I. McGee, M. R. Gross, N. Nakane, D. P. J. Swart, H. B. Bergwerff, O. Uchino, P. Gathen, and R. Neuber, “Ozone differential absorption lidar algorithm intercomparison,” Appl. Opt. 38, 6225–6236 (1999).
- V. A. Kovalev and J. L. McElroy, “Differential absorption lidar measurement of vertical ozone profiles in the troposphere that contains aerosol layers with strong backscattering gradients: a simplified version,” Appl. Opt. 33, 8393–8401 (1994).
- W. Viezee, E. E. Uthe, and R. T. H. Collis, “Lidar observations of airfield approach conditions: an exploratory study,” J. Appl. Meteorol. 8, 274–283 (1969).
- J. D. Klett, “Stable analytical inversion solution for processing lidar returns,” Appl. Opt. 20, 211–220 (1981).

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