Scattering Calculations at C-Band for Asymmetric Raindrops Reconstructed from 2D Video Disdrometer Measurements

Merhala Thurai Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

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Sanja Manić Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

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Michael Schönhuber Joanneum Research, Graz, Austria

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V. N. Bringi Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

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Branislav M. Notaroš Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado

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Abstract

The distribution of raindrop shapes is well known to be important in deriving retrieval algorithms for drop size distribution parameters (such as the mass-weighted mean diameter) and rain rate, as well as for attenuation correction using the differential propagation phase constraint. While past work has shown that in the vast majority of rain events the most “probable” shapes conform to those arising primarily from the axisymmetric (2,0) oscillation mode, a more recent event analysis has shown that drop collisions can give rise to mixed-mode oscillations and that for high collision rate scenarios, a significant percentage of drops can become “asymmetric” at any given instant.

As a follow-up to such studies, this study involved performing scattering calculations for 3D-reconstructed shapes of asymmetric drops using the shape measurements from a 2D video disdrometer (2DVD) during the above-mentioned rain event. A recently developed technique is applied to facilitate the 3D reconstruction from the 2DVD camera data for these asymmetric drops. The reconstruction requires a specific technique to correct for the drop image distortions due to horizontal velocities. Scattering calculations for the reconstructed asymmetric drops have been performed using a higher-order method of moments solution to the electric and magnetic field surface integral equations. Results show that the C-band scattering amplitudes of asymmetric drops are markedly different from those of oblate spheroids. The intention for future studies is to automate the entire procedure so that more realistic simulations can be performed using the 2DVD-based data, particularly for cases where collision-induced drop oscillations give rise to considerable numbers of asymmetric drops.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: Merhala Thurai, merhala@engr.colostate.edu

Abstract

The distribution of raindrop shapes is well known to be important in deriving retrieval algorithms for drop size distribution parameters (such as the mass-weighted mean diameter) and rain rate, as well as for attenuation correction using the differential propagation phase constraint. While past work has shown that in the vast majority of rain events the most “probable” shapes conform to those arising primarily from the axisymmetric (2,0) oscillation mode, a more recent event analysis has shown that drop collisions can give rise to mixed-mode oscillations and that for high collision rate scenarios, a significant percentage of drops can become “asymmetric” at any given instant.

As a follow-up to such studies, this study involved performing scattering calculations for 3D-reconstructed shapes of asymmetric drops using the shape measurements from a 2D video disdrometer (2DVD) during the above-mentioned rain event. A recently developed technique is applied to facilitate the 3D reconstruction from the 2DVD camera data for these asymmetric drops. The reconstruction requires a specific technique to correct for the drop image distortions due to horizontal velocities. Scattering calculations for the reconstructed asymmetric drops have been performed using a higher-order method of moments solution to the electric and magnetic field surface integral equations. Results show that the C-band scattering amplitudes of asymmetric drops are markedly different from those of oblate spheroids. The intention for future studies is to automate the entire procedure so that more realistic simulations can be performed using the 2DVD-based data, particularly for cases where collision-induced drop oscillations give rise to considerable numbers of asymmetric drops.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: Merhala Thurai, merhala@engr.colostate.edu
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  • Beard, K. V., and C. Chuang, 1987: A new model for the equilibrium shape of raindrops. J. Atmos. Sci., 44, 15091524, doi:10.1175/1520-0469(1987)044<1509:ANMFTE>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Beard, K. V., V. N. Bringi, and M. Thurai, 2010: A new understanding of raindrop shape. Atmos. Res., 97, 396415, doi:10.1016/j.atmosres.2010.02.001.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Bringi, V. N., and V. Chandrasekar, 2001: Polarimetric Doppler Weather Radar: Principles and Applications. Cambridge University Press, 636 pp.

    • Crossref
    • Export Citation
  • Chobanyan, E., N. J. Šekeljić, A. B. Manić, M. M. Ilić, V. N. Bringi, and B. M. Notaroš, 2015: Efficient and accurate computational electromagnetics approach to precipitation particle scattering analysis based on higher-order method of moments integral equation modeling. J. Atmos. Oceanic Technol., 32, 17451758, doi:10.1175/JTECH-D-15-0037.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Crowe, C. C., C. J. Schultz, M. R. Kumjian, L. D. Carey, and W. A. Petersen, 2012: Use of dual-polarization signatures in diagnosing tornadic potential. Electron. J. Oper. Meteor., 13, 5778.

    • Search Google Scholar
    • Export Citation
  • Djordjević, M., and B. M. Notaroš, 2004: Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers. IEEE Trans. Antennas Propag., 52, 21182129, doi:10.1109/TAP.2004.833175.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Doviak, R. J., and D. S. Zrnić, 1993: Doppler Radar and Weather Observations. 2nd ed. Academic Press, 562 pp.

  • Gimpl, H., 2012: Optimised algorithms for 2D-video-distrometer data analysis and interpretation. Diploma thesis, Faculty of Electrical and Information Engineering, Institute of Communication Networks and Satellite Communications, Graz University of Technology, 111 pp. [Available online at https://online.tugraz.at/tug_online/wbAbs.showThesis?pThesisNr=13866&pOrgNr=2329#.]

  • Goddard, J. W. F., S. M. Cherry, and V. N. Bringi, 1982: Comparison of dual-polarization radar measurements of rain with ground-based disdrometer measurements. J. Appl. Meteor., 21, 252256, doi:10.1175/1520-0450(1982)021<0252:CODPRM>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Gorgucci, E., L. Baldini, and V. Chandrasekar, 2006: What is the shape of a raindrop? An answer from radar measurements. J. Atmos. Sci., 63, 30333044, doi:10.1175/JAS3781.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Gourley, J. J., A. J. Illingworth, and P. Tabary, 2009: Absolute calibration of radar reflectivity using redundancy of the polarization observations and implied constraints on drop shapes. J. Atmos. Oceanic Technol., 26, 689703, doi:10.1175/2008JTECHA1152.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Huang, G.-J., V. N. Bringi, and M. Thurai, 2008: Orientation angle distributions of drops after an 80-m fall using a 2D video disdrometer. J. Atmos. Oceanic Technol., 25, 17171723, doi:10.1175/2008JTECHA1075.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Jameson, A. R., and S. L. Durden, 1996: A possible origin of linear depolarization observed at vertical incidence in rain. J. Appl. Meteor., 35, 271277, doi:10.1175/1520-0450(1996)035<0271:APOOLD>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Notaroš, B. M., 2008: Higher order frequency-domain computational electromagnetics. IEEE Trans. Antennas Propag., 56, 22512276, doi:10.1109/TAP.2008.926784.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Petersen, W. A., K. R. Knupp, D. J. Cecil, and J. R. Mecikalski, 2007: The University of Alabama Huntsville THOR Center instrumentation: Research and operational collaboration. 33rd Int. Conf. on Radar Meteorology, Cairns, QLD, Australia, Amer. Meteor. Soc., 5.1. [Available online at https://ams.confex.com/ams/33Radar/webprogram/Paper123410.html.]

  • Ryzhkov, A. V., S. E. Giangrande, V. M. Melnikov, and T. J. Schuur, 2005: Calibration issues of dual-polarization radar measurements. J. Atmos. Oceanic Technol., 22, 11381155, doi:10.1175/JTECH1772.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Schönhuber, M., 1998: About interaction of precipitation and electromagnetic waves. Ph.D. thesis, Institute of Communications and Wave Propagation, Graz University of Technology, 181 pp.

  • Schönhuber, M., W. L. Randeu, H. E. Urban, and J. P. V. Poiares Baptista, 2000: Field measurements of raindrop orientation angles. Proc. AP2000 Millennium Conf. on Antennas and Propagation, Davos, Switzerland, IEE, CD-ROM.

  • Schönhuber, M., G. Lammer, and W. L. Randeu, 2007: One decade of imaging precipitation measurements by 2D-video disdrometer. Adv. Geosci., 10, 8590, doi:10.5194/adgeo-10-85-2007.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Schönhuber, M., G. Lammer, and W. L. Randeu, 2008: The 2D-video-disdrometer. Precipitation: Advances in Measurement, Estimation and Prediction, S. C. Michaelides, Ed., Springer, 3–31.

    • Crossref
    • Export Citation
  • Schönhuber, M., M. Schwinzerl, and G. Lammer, 2016: 3D reconstruction of 2DVD-measured raindrops for precise prediction of propagation parameters. 2016 10th European Conference on Antennas and Propagation (EuCAP), IEEE, 3403–3406, doi:10.1109/EuCAP.2016.7481929.

    • Crossref
    • Export Citation
  • Schwinzerl, M., M. Schönhuber, G. Lammer, and M. Thurai, 2016: 3D reconstruction of individual raindrops from precise ground-based precipitation measurements. Extended Abstracts, 16th EMS Annual Meeting/11th European Conf. on Applied Climatology, Trieste, Italy, European Meteorological Society, EMS2016-601. [Available online at http://meetingorganizer.copernicus.org/EMS2016/EMS2016-601.pdf.]

  • Seliga, T. A., and V. N. Bringi, 1976: Potential use of radar differential reflectivity measurements at orthogonal polarizations for measuring precipitation. J. Appl. Meteor., 15, 6976, doi:10.1175/1520-0450(1976)015<0069:PUORDR>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Szakáll, M., K. Diehl, S. K. Mitra, and S. Borrmann, 2010: Shapes and oscillations of falling raindrops—A review. Atmos. Res., 97, 416425, doi:10.1016/j.atmosres.2010.03.024.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thurai, M., G. J. Huang, V. N. Bringi, W. L. Randeu, and M. Schönhuber, 2007: Drop shapes, model comparisons, and calculations of polarimetric radar parameters in rain. J. Atmos. Oceanic Technol., 24, 10191032, doi:10.1175/JTECH2051.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thurai, M., V. N. Bringi, W. A. Petersen, and P. N. Gatlin, 2013: Drop shapes and fall speeds in rain: Two contrasting examples. J. Appl. Meteor. Climatol., 52, 25672581, doi:10.1175/JAMC-D-12-085.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thurai, M., V. N. Bringi, A. B. Manic, N. J. Šekeljić, and B. M. Notaroš, 2014a: Investigating rain drop shapes, oscillation modes, and implications for radiowave propagation. Radio Sci., 49, 921932, doi:10.1002/2014RS005503.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thurai, M., P. T. May, and A. Protat, 2014b: Shipborne polarimetric weather radar: Impact of ship movement on polarimetric variables at C band. J. Atmos. Oceanic Technol., 31, 15571563, doi:10.1175/JTECH-D-13-00242.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
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