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Scattering by Ensemble of Hydrometeors: Polarimetric Perspective

  • Alexander V. Ryzhkov
  • Dusan S. Zrnic
Chapter
Part of the Springer Atmospheric Sciences book series (SPRINGERATMO)

Abstract

Scattering by an ensemble of particles is presented and the weighting in range imposed by the pulse shape and receiver filter is quantified. It is shown that the powers and correlations of the polarimetric signals are the fundamental measurands and the combination of these produces the polarimetric variables useful for interpretation of radar returns. The polarimetric radar equation is derived and the basic polarimetric variables measured in various modes of radar operation (with simultaneous or alternate transmission/reception) are defined. The effects of particles orientation are discussed in detail and analytical formulas for the angular moments which are part of closed-form solutions for various scattering quantities are presented.

Keywords

Ensembles of particles Range weighting function Powers Correlations Polarimetric variables Particle orientation Angular moments 

References

  1. Balakrishnan, N., & Zrnic, D. (1990). Use of polarization to characterize precipitation and discriminate large hail. Journal of the Atmospheric Sciences, 47, 1525–1540.CrossRefGoogle Scholar
  2. Brunkow, D., Bringi, V., Kennedy, P., Rutledge, S., Chandrasekar, V., Mueller, E., et al. (2000). A description of the CSU-CHILL National Radar Facility. Journal of Atmospheric and Oceanic Technology, 17, 1596–1608.CrossRefGoogle Scholar
  3. Doviak, R., & Zrnic, D. (2006). Doppler radar and weather observations (2nd ed.). Reprint, Mineola, NY: Dover Publications, Inc., 562pp.Google Scholar
  4. Ivic, R. I., Zrnic, D. S., & Torres, S. M. (2003). Whitening in range to improve weather radar spectral moment estimates. Part II: Experimental evaluation. Journal of Atmospheric and Oceanic Technology, 20, 1449–1459.CrossRefGoogle Scholar
  5. Lutz, J., Rilling, B., Wilson, J., Weckwerth, T., & Vivekanandan, J. (1997). S-Pol after three operational deployments, technical performances, siting experiences and some data examples. In Preprints, 28th Conference on Radar Metoerology (pp. 286–287). Austin, TX: American Meteor Society.Google Scholar
  6. Melnikov, V., & Doviak, R. (2002). Spectrum widths from echo power differences reveal meteorological features. Journal of Atmospheric and Oceanic Technology, 19, 1793–1810.CrossRefGoogle Scholar
  7. Ryzhkov, A. (2001). Interpretation of polarimetric radar covariance matrix for meteorological scatterers: Theoretical analysis. Journal of Atmospheric and Oceanic Technology, 18, 315–328.CrossRefGoogle Scholar
  8. Ryzhkov, A., Zrnic, D., Hubbert, J., Bringi, V., Vivekanandan, J., & Brandes, E. (2002). Polarimetric radar observations and interpretation of co-cross-polar correlation coefficients. Journal of Atmospheric and Oceanic Technology, 19, 340–354.CrossRefGoogle Scholar
  9. Sachidananda, M., & Zrnic, D. (1985). ZDR measurement consideration for a fast scan capability radar. Radio Science, 20, 907–922.CrossRefGoogle Scholar
  10. Sachidananda, M., & Zrnic, D. (1989). Efficient processing of alternately polarized radar echoes. Journal of Atmospheric and Oceanic Technology, 6, 173–181.CrossRefGoogle Scholar
  11. Seliga, T., & Bringi, V. (1976). Potential use of radar differential reflectivity measurements at orthogonal polarizations for measuring precipitation. Journal of Applied Meteorology, 15, 69–76.CrossRefGoogle Scholar
  12. Torres, S., & Zrnic, D. (2003). Whitening in range to improve weather radar spectral moment estimates. Part I: Formulation and simulation. Journal of Atmospheric and Oceanic Technology, 20, 1443–1448.Google Scholar
  13. Tragl, K. (1990). Polarimetric radar backscattering from reciprocal random targets. IEEE Transactions on Geoscience and Remote Sensing, 28, 856–864.CrossRefGoogle Scholar
  14. Zhang, G. (2016). Weather radar polarimetry (Vol. 304). Boca Raton, FL: CRC Press.CrossRefGoogle Scholar
  15. Zrnic, D. (1991). Complete polarimetric and Doppler measurements with a single receiver radar. Journal of Atmospheric and Oceanic Technology, 8, 159–165.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alexander V. Ryzhkov
    • 1
  • Dusan S. Zrnic
    • 2
  1. 1.Cooperative Institute for Mesoscale Meteorological StudiesThe University of OklahomaNormanUSA
  2. 2.National Severe Storms Laboratory, National Oceanic and Atmospheric AdministrationNormanUSA

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