Abstract
We considered the inverse problem of retrieving the profiles of the extinction coefficient and effective cloud droplet size from lidar returns measured for different receiver field-of-view (FOV) angles. For the solution of the problem, we suggested a special mathematical formulation of the lidar equation, taking into account multiple scattering in the framework of the small-angle approximation of the transfer theory. In the multiply scattered signal, we separated the diffraction component which, for large FOVs, explicitly depends on the effective particle size. The sought characteristics are retrieved using a developed iteration algorithm of the solution of the system of lidar equations defined for two and more FOV angles. We presented the results of the algorithm testing in processing of the field data of laser sensing of stratocumulus clouds. The retrieved extinction coefficients and cloud particle sizes are found to agree well with the known published data.
Similar content being viewed by others
References
L. R. Bissonnette, G. Roy, L. Poutier, S. G. Cober and G. A. Isaac, “Multiple-Scattering Lidar Retrieval Method: Tests on Monte Carlo Simulations and Comparisons with in situ Measurements,” Appl. Opt. 41(30), 6307 (2002).
L. R. Bissonnette, G. Roy and N. Roy, “Multiple-Scattering-Based Lidar Retrieval: Method and Results of Cloud Probings,” Appl. Opt. 44(26), 5565 (2005).
A. V. Malinka and E. P. Zege, “Possibilities of Warm Cloud Microstructure Profiling with Multiple-Field-of-View Raman Lidar,” Appl. Opt. 46(35), 8419 (2007).
I. Veselovskii, M. Korenskii, V. Griaznov, D. N. Whiteman, M. McGill, G. Roy and L. Bissonnette, “Information Content of Data Measured with a Multiplefield-of-View Lidar,” Appl. Opt. 45(26), 6839 (2006).
V. E. Zuev, V. V. Belov and V. V. Veretennikov, System Theory in Optics of Disperse Media (Spektr Publishing House, Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, Tomsk, 1997) [In Russian].
V. V. Veretennikov, Asymptotic Methods in the Theory of Lidar Sounding in the Small-Angle Multiple-Scattering Approximation, in Proceedings of MUSCLE 10 (Florence, 1999).
V. V. Veretennikov, Determination of Particle Sizes from Lidar Signals Taking into Account the Multiple Scattering in Small-Angle Approximation, in Proceedings of Fourth Interrepublic Symposium “Atmospheric and Oceanic Optics” (Tomsk, 1997) [In Russian].
V. V. Veretennikov, “Separation of Components in Asymptotic Estimates of Lidar Signals with Consideration of Multiple Scattering in the Small-Angle Approximation,” Proc. SPIE 4341, 264 (2000).
B. V. Ermakov and Yu. A. Ilyinskii, “On Propagation of Light Pulses in a Scattering Medium,” Izv. Vyssh. Uchebn. Zaved. SSSR, Radiofis. 12 (5), 694 (1969).
L. S. Dolin and V. A. Savelyev, “On Backscattering Signal Characteristics during Pulsed Irradiation of Turbid Medium by a Narrow Directed Light Beam,” Izv. Akad. Nauk, Fiz. Atmos. Okeana 7(5), 505 (1971) [In Russian].
K. S. Shifrin, Light Scattering in a Turbid Medium (Gostekhteorizdat, Moscow, 1951) [In Russian].
V. V. Veretennikov, “Lidar Return Structure at Multiple Scattering in the Small-Angle Approximation,” Optika Atmosfery i Okeana 12(5), 385 (1999) [Atm. Oceanic Opt. 12 (5), 369 (1999).
D. Deirmenjian, Electromagnetic Scattering on Spherical Polydispersions (Elsevier, 1969).
V. V. Veretennikov, “The Method of Consequent Decomposition in the Theory of Lidar Sensing of Dense Media,” Optika Atmosfery i Okeana 20(11), 980 (2007) [Atm. Oceanic Opt. 20 (11), 894 (2007)]
V.E. Zuev, G. M. Krekov and M. M. Krekova, Laser Sensing of Atmospheric Aerosol, Remote Sensing of the Atmosphere (Nauka, Novosibirsk, 1978) [In Russian].
J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Mir, Moscow, 1975) [In Russian].
A. B. Bakushinskii and A. V. Goncharskii, Iterative Solution Methods for Ill-Posed Problems (Nauka, Moscow, 1989) [In Russian].
J.J. Moré, “The Levenberg-Marquardt Algorithm: Implementation and Theory, Numerical Analysis,” Ed. by G. A. Watson, Springer-Verlag, Lecture Notes in Mathematics 630, 105 (1978).
Handbook of Clouds and Cloudy Atmosphere, Ed. By I.P. Mazin and A. Kh. Khrgian (Gidrometeoizdat, Leningrad, 1989) [In Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.V. Veretennikov, A.I. Abramochkin 2009, published in Optica Atmosfery i Okeana.
Rights and permissions
About this article
Cite this article
Veretennikov, V.V., Abramochkin, A.I. Determination of the optical and microstructural characteristics of water droplet clouds in laser sensing taking into account multiple scattering. Atmos Ocean Opt 22, 527–535 (2009). https://doi.org/10.1134/S1024856009050054
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1024856009050054