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Use of Non-Normalized Moments for Determining the Statistical Parameters of Nonspherical Particles from Their Images

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Two stages of statistical processing of the cross-sections of nonspherical particles are considered. The cross-sections are obtained from images of the particles with the use of non-normalized moments. The first stage is based on the relation between the first- and second-order non-normalized moments with the transmission coefficients and angular dimension of the halo produced by forward scattering of optical radiation. On the second stage, the parameters of the size distribution of the particles by cross-sectional area are recovered from the non-normalized moments up to fourth order with the use of the lognormal distribution.

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References

  1. R. Megeris, Laser Remote Sounding [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  2. J. Heintzenberg and R. M. Welch, “Retrieval of aerosol size distribution from angular scattering functions: effects of particle composition and shape,” Appl.Opt., 21, No. 5, 822–830 (1982).

    Article  ADS  Google Scholar 

  3. I. Veselovskii, A. Kolgotin, V. Griaznov, et al., “Inversion with regularization for the retrieval of tropospheric aerosol parameters from multiwavelength lidar sounding,” Appl. Opt., 41, No. 18, 3685–3699 (2002).

    Article  ADS  Google Scholar 

  4. M. I. Mishchenko, “Lidar aerosol backscatter measurements: systematic, modeling, and calibration error considerations,” J. Quant. Spectrosc. Rad. Transfer, 110, No. 11, 808–832 (2009).

    Article  ADS  Google Scholar 

  5. A. V. Bukharin, “Methodological programs in the problem of determining the microstructure of scattering objects by remote methods,” Nelin. Mir, 9, No. 6, 342–351 (2011).

    Google Scholar 

  6. G. P. Arumov, A. V. Bukharin, and A.V. Tyurin, “The use of statistically inhomogeneous screens in calibration of lidar based on the parameters of images of particles for the ground layer of the atmosphere,” Izmer. Tekhn., No. 3, 36–40 (2014).

  7. M. Born and E. Wolf, Foundations of Optics [Russian translation], Nauka, Moscow (1973).

    Google Scholar 

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Correspondence to G. P. Arumov.

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Translated from Izmeritel’naya Tekhnika, No. 11, pp. 22–26, November, 2017.

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Arumov, G.P., Bukharin, A.V. Use of Non-Normalized Moments for Determining the Statistical Parameters of Nonspherical Particles from Their Images. Meas Tech 60, 1102–1108 (2018). https://doi.org/10.1007/s11018-018-1325-5

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  • DOI: https://doi.org/10.1007/s11018-018-1325-5

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