Skip to main content
Log in

Three-Dimensional Screens for Measuring Non-Normalized Moments

  • Published:
Measurement Techniques Aims and scope

We describe a 3D screen design and a methodology for using such screens to determine scatterer-particle parameters, and propose a technique for the use of 3D screens in the measurement of non-normalized moments (up to 6th order). We show that the non-normalized moments can be determined from the attenuation in light power produced by a series of 3D screens; the number of screens determines the order of the moment to be measured. The non-normalized moments provide information on the equivalent cross-section of the scatterer particles and the distribution function of particles over cross-sectional area.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.

Similar content being viewed by others

References

  1. M. D. Alexandrov and M. I. Mishchenko, “Information content of bistatic lidar observations of aerosols from space,” Opt. Express, 25, No 4, A134–A150 (2017).

    Article  ADS  Google Scholar 

  2. J. Vargas-Ubera, J. F. Aguilar, and D. M. Gale, “Reconstruction of particle-size distributions from light-scattering patterns using three inversion methods,” Appl. Opt., 46, No. 1, 124–132 (2007).

    Article  ADS  Google Scholar 

  3. E. Chemyakin, S. Burton, A. Kolgotin, D. Müller, C. Hostetler, and R. Ferrare, “Retrieval of aerosol parameters from multiwavelength lidar: investigation of the underlying inverse mathematical problem,” Appl. Opt., 55, No. 9, 2188–2202 (2016).

    Article  ADS  Google Scholar 

  4. N. N. Gavrilova, V. V. Nazarov, and O. V. Yarovaya, Microscopic Techniques for Determining Particle Sizes in Disperse Media: Textbook, RKhTU im. Mendeleeva, Moscow (2012).

  5. P. C. Reist, Introduction to Aerosol Science [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  6. G. P. Arumov and A. V. Bukharin, “Use of non-normalized moments for determining the statistical parameters of nonspherical particles from their images,” Measur. Techn., 60, No. 11, 1102–1108 (2018).

    Article  Google Scholar 

  7. G. Schroeder and H. Treiber, Technische Optik [Russian translation], Tekhnosfera, Moscow (2006).

    Google Scholar 

  8. M. I. Mishchenko, “Electromagnetic scattering by nonspherical particles: A tutorial review,” J. Quant. Spectrosc. Radiat. Transfer, 110, No. 11, 808–832 (2009).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izmeritel’naya Tekhnika, No. 9, pp. 44–48, September, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Arumov, G.P., Bukharin, A.V. Three-Dimensional Screens for Measuring Non-Normalized Moments. Meas Tech 61, 908–913 (2018). https://doi.org/10.1007/s11018-018-1523-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-018-1523-1

Keywords

Navigation