The Construction of a Three-Dimensional Antenna Gain Matrix and Its Impact on Retrieving Sea Surface Mean Square Slope Based on Aircraft Wave Spectrometer Data

Xiuzhong Li School of Marine Science, Nanjing University of Information Science and Technology, Nanjing, China

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Yijun He School of Marine Science, Nanjing University of Information Science and Technology, Nanjing, China

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Biao Zhang School of Marine Science, Nanjing University of Information Science and Technology, Nanjing, China

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Chenqing Fan First Institute of Oceanography, State Oceanic Administration, Qingdao, China

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Abstract

In this study, a rotating frequency-modulated continuous wave (FMCW) radar is installed on an aircraft to retrieve the sea wave spectra. Because the aircraft attitude angles produce the incorrect antenna gain used in the radar equation, the incorrect normalized radar cross section (NRCS) of the sea surface will be acquired. To eliminate the effect of the angles, a three-dimensional matrix of the radar antenna gain is constructed by means of coordinate transformation and interpolation, based on a large set of configurations of the aircraft attitude angles (roll, pitch, etc.). With the application of the matrix, the NRCS of the sea surface is corrected and the calculating time is reduced. Then the sea surface mean square slope (MSS) is obtained from the echoes of the airborne wave spectrometer. Considering a weak periodicity of MSS due to low sea state, four images are presented to show the variation of the MSS after aircraft attitude angle correction. The results indicate that the accurate incidence angle of the antenna beam center is critical for retrieving the sea surface MSS, and that the magnitude of the MSS from three cycles of radar echoes can be changed by as much as 40% within 5° of the attitude angles. Furthermore, the MSS becomes more periodic and regular after correction.

Corresponding author address: Dr. Yijun He, School of Marine Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, Jiangsu, China. E-mail: yjhe@nuist.edu.cn

Abstract

In this study, a rotating frequency-modulated continuous wave (FMCW) radar is installed on an aircraft to retrieve the sea wave spectra. Because the aircraft attitude angles produce the incorrect antenna gain used in the radar equation, the incorrect normalized radar cross section (NRCS) of the sea surface will be acquired. To eliminate the effect of the angles, a three-dimensional matrix of the radar antenna gain is constructed by means of coordinate transformation and interpolation, based on a large set of configurations of the aircraft attitude angles (roll, pitch, etc.). With the application of the matrix, the NRCS of the sea surface is corrected and the calculating time is reduced. Then the sea surface mean square slope (MSS) is obtained from the echoes of the airborne wave spectrometer. Considering a weak periodicity of MSS due to low sea state, four images are presented to show the variation of the MSS after aircraft attitude angle correction. The results indicate that the accurate incidence angle of the antenna beam center is critical for retrieving the sea surface MSS, and that the magnitude of the MSS from three cycles of radar echoes can be changed by as much as 40% within 5° of the attitude angles. Furthermore, the MSS becomes more periodic and regular after correction.

Corresponding author address: Dr. Yijun He, School of Marine Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, Jiangsu, China. E-mail: yjhe@nuist.edu.cn
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  • Barrick, D. E., 1968: Rough surface scattering based on the specular point theory. IEEE Trans. Antennas Propag., 16, 449454, doi:10.1109/TAP.1968.1139220.

    • Search Google Scholar
    • Export Citation
  • Boisot, O., Nouguier F. , Chapron B. , and Guérin C. , 2015: The GO4 model in near-nadir microwave scattering from the sea surface. IEEE Trans. Geosci. Remote Sens., 53, 58895900, doi:10.1109/TGRS.2015.2424714.

    • Search Google Scholar
    • Export Citation
  • Bréon, F. M., and Henriot N. , 2006: Spaceborne observations of ocean glint reflectance and modeling of wave slope distributions. J. Geophys. Res., 111, C06005, doi:10.1029/2005JC003343.

    • Search Google Scholar
    • Export Citation
  • Bringer, A., Guérin C. A. , Chapron B. , and Mouche A. A. , 2012: Peakedness effects in near-nadir radar observations of the sea surface. IEEE Trans. Geosci. Remote Sens., 50, 32933301, doi:10.1109/TGRS.2012.2183605.

    • Search Google Scholar
    • Export Citation
  • Calvary, P., Phalippou L. , Thouvenot E. , and Hauser D. , 2002: Preliminary design of the SWIMSAT radar for the measurement of ocean wave spectra. 2002 IEEE International Geoscience and Remote Sensing Symposium, Vol. 2, IEEE, 777779, doi:10.1109/IGARSS.2002.1025683.

  • Chu, X., He Y. , and Chen G. , 2010: A new algorithm for wind speed at low incidence angles using TRMM Precipitation Radar data. 2010 IEEE International Conference on Geoscience and Remote Sensing Symposium, IEEE, 41624165, doi:10.1109/IGARSS.2010.5652819.

  • Chu, X., He Y. , and Chen G. , 2012a: Asymmetry and anisotropy of microwave backscatter at low incidence angles. IEEE Trans. Geosci. Remote Sens., 50, 40144024, doi:10.1109/TGRS.2012.2189010.

    • Search Google Scholar
    • Export Citation
  • Chu, X., He Y. , and Karaev V. Y. , 2012b: Relationships between Ku-band radar backscatter and integrated wind and wave parameters at low incidence angles. IEEE Trans. Geosci. Remote Sens., 50, 45994609, doi:10.1109/TGRS.2012.2191560.

    • Search Google Scholar
    • Export Citation
  • Cox, C., and Munk W. , 1956: Slopes of the sea surface deduced from photographs of sun glitter. Bull. Scripps Inst. Oceanogr., 6 (9), 401487.

    • Search Google Scholar
    • Export Citation
  • Freilich, M. H., and Vanhoff B. A. , 2003: The relationship between winds, surface roughness, and radar backscatter at low incidence angles from TRMM Precipitation Radar measurements. J. Atmos. Oceanic Technol., 20, 549562, doi:10.1175/1520-0426(2003)20<549:TRBWSR>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Hasselmann, S., Brüning C. , Hasselmann K. , and Heimbach P. , 1996: An improved algorithm for the retrieval of ocean wave spectra from synthetic aperture radar image spectra. J. Geophys. Res., 101, 16 61516 629, doi:10.1029/96JC00798.

    • Search Google Scholar
    • Export Citation
  • Hauser, D., Caudal G. , Rijckenberg G. J. , Vidal-Madjar D. , Laurent G. , and Lancelin P. , 1992: RESSAC: A new airborne FM/CW radar ocean wave spectrometer. IEEE Trans. Geosci. Remote Sens., 30, 981995, doi:10.1109/36.175333.

    • Search Google Scholar
    • Export Citation
  • Hauser, D., Soussi E. , Thouvenot E. , and Rey L. , 2001: SWIMSAT: A real-aperture radar to measure directional spectra of ocean waves from space—Main characteristics and performance simulation. J. Atmos. Oceanic Technol., 18, 421437, doi:10.1175/1520-0426(2001)018<0421:SARART>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Hauser, D., Podvin T. , Dechambre M. , Caudal G. , Mouche A. , and Daloze J.-F. , 2003: Polarimetric measurements over the sea-surface with the airborne STORM radar in the context of the geophysical validation of the ENVISAT ASAR. Proceedings of the Workshop on POLinSAR: Applications of SAR Polarimetry and Polarimetric Interferometry, ESA SP-529, 6371.

  • Hauser, D., Caudal G. , Le Gac C. , Valentin R. , Delaye L. , and Tison C. , 2014: KuROS: A new airborne Ku-band Doppler radar for observation of the ocean surface. 2014 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), IEEE, 282285, doi:10.1109/IGARSS.2014.6946412.

  • Hesany, V., Plant W. J. , and Keller W. C. , 2000: The normalized radar cross section of the sea at 10° incidence. IEEE Trans. Geosci. Remote Sens., 38, 6472, doi:10.1109/36.823902.

    • Search Google Scholar
    • Export Citation
  • Hwang, P. A., Teague W. J. , Jacobs G. A. , and Wang D. W. , 1998: A statistical comparison of wind speed, wave height, and wave period derived from satellite altimeters and ocean buoys in the Gulf of Mexico region. J. Geophys. Res., 103, 10 45110 468, doi:10.1029/98JC00197.

    • Search Google Scholar
    • Export Citation
  • Jackson, F. C., 1981: An analysis of short pulse and dual frequency radar techniques for measuring ocean wave spectra from satellites. Radio Sci., 16, 13851400, doi:10.1029/RS016i006p01385.

    • Search Google Scholar
    • Export Citation
  • Jackson, F. C., 1987: The radar ocean-wave spectrometer. Johns Hopkins APL Tech. Dig., 8, 116127.

  • Jackson, F. C., Walton W. T. , and Peng C. Y. , 1985a: A comparison of in situ and airborne radar observations of ocean wave directionality. J. Geophys. Res., 90, 10051018, doi:10.1029/JC090iC01p01005.

    • Search Google Scholar
    • Export Citation
  • Jackson, F. C., Walton W. T. , and Baker P. L. , 1985b: Aircraft and satellite measurement of ocean wave directional spectra using scanning-beam microwave radars. J. Geophys. Res., 90, 9871004, doi:10.1029/JC090iC01p00987.

    • Search Google Scholar
    • Export Citation
  • Jackson, F. C., Walton W. T. , Hines D. E. , and Walters B. A. , 1992: Sea surface mean square slope from K-band backscatter data. J. Geophys. Res., 97, 11 41111 427, doi:10.1029/92JC00766.

    • Search Google Scholar
    • Export Citation
  • Karaev, V., Meshkov E. , and Chu X. , 2013: Simulation of radar with a knife-like antenna beam using precipitation radar data. Int. J. Remote Sens., 34, 79067924, doi:10.1080/01431161.2013.827811.

    • Search Google Scholar
    • Export Citation
  • Le Traon, P.-Y., and Coauthors, 2015: Use of satellite observations for operational oceanography: Recent achievements and future prospects. J. Oper. Oceanogr., 8 (Suppl.), s12s27, doi:10.1080/1755876X.2015.1022050.

    • Search Google Scholar
    • Export Citation
  • Lorenzo, J., and Coauthors, 2010: Next generation of multi beam rotating antenna on SWIM scatterometer. 2010 IEEE International Conference on Geoscience and Remote Sensing Symposium, IEEE, 34783481, doi:10.1109/IGARSS.2010.5649336.

  • Majurec, N., Johnson J. T. , Tanelli S. , and Durden S. L. , 2014: Comparison of model predictions with measurements of Ku- and Ka-band near-nadir normalized radar cross sections of the sea surface from the Genesis and Rapid Intensification Processes experiment. IEEE Trans. Geosci. Remote Sens., 52, 53205332, doi:10.1109/TGRS.2013.2288105.

    • Search Google Scholar
    • Export Citation
  • Mouche, A. A., Hauser D. , Daloze J. F. , and Guérin C. , 2005: Dual-polarization measurements at C-band over the ocean: Results from airborne radar observations and comparison with ENVISAT ASAR data. IEEE Trans. Geosci. Remote Sens., 43, 753769, doi:10.1109/TGRS.2005.843951.

    • Search Google Scholar
    • Export Citation
  • Mouche, A. A., Hauser D. , Caudal G. , Kudryavstev V. , and Chapron B. , 2006a: Use of dual polarization radar measurements to understand the azimuth behavior of the sea surface backscattered signal. IEEE International Conference on Geoscience and Remote Sensing Symposium, IEEE, 18671870, doi:10.1109/IGARSS.2006.482.

  • Mouche, A. A., Hauser D. , and Kudryavtsev V. , 2006b: Radar scattering of the ocean surface and sea-roughness properties: A combined analysis from dual-polarizations airborne radar observations and models in C band. J. Geophys. Res., 111, C09004, doi:10.1029/2005JC003166.

    • Search Google Scholar
    • Export Citation
  • Munk, W., 2009: An inconvenient sea truth: Spread, steepness, and skewness of surface slopes. Annu. Rev. Mar. Sci., 1, 377415, doi:10.1146/annurev.marine.010908.163940.

    • Search Google Scholar
    • Export Citation
  • Skolnik, M. I., 1962: Introduction to Radar. McGraw-Hill, 648 pp.

  • Valenzuela, G., 1978: Theories for the interaction of electromagnetic and ocean wave—A review. Bound.-Layer Meteor., 13, 6185, doi:10.1007/BF00913863.

    • Search Google Scholar
    • Export Citation
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