中国物理B ›› 2010, Vol. 19 ›› Issue (2): 24101-024101.doi: 10.1088/1674-1056/19/2/024101

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Numerical study of electromagnetic scattering from one-dimensional nonlinear fractal sea surface

William Perrie1, 谢涛2, 何超2, 旷海兰2, 邹光辉2, 陈伟2   

  1. (1)Bedford Institute of Oceanography, B2Y 4A2, Dartmouth, NS, Canada; (2)School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
  • 收稿日期:2009-05-14 修回日期:2009-07-03 出版日期:2010-02-15 发布日期:2010-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.~40706058), the National High Technology Research and Development Program of China (Grant No.~2007AA12Z170), the Science-Technology Chenguang Foundation for Young Scientist of Wuhan, China (Grant No.~200850731388) and the wind and waves component of the Canadian Space Agency GRIP Project entitled Building Satellite Data into Fisheries and Oceans Operational Systems.

Numerical study of electromagnetic scattering from one-dimensional nonlinear fractal sea surface

Xie Tao(谢涛)a)†, He Chao(何超)a), William Perrieb), Kuang Hai-Lan(旷海兰)a), Zou Guang-Hui(邹光辉)a), and Chen Wei(陈伟)a)   

  1. a School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China; b Bedford Institute of Oceanography, B2Y 4A2, Dartmouth, NS, Canada
  • Received:2009-05-14 Revised:2009-07-03 Online:2010-02-15 Published:2010-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No.~40706058), the National High Technology Research and Development Program of China (Grant No.~2007AA12Z170), the Science-Technology Chenguang Foundation for Young Scientist of Wuhan, China (Grant No.~200850731388) and the wind and waves component of the Canadian Space Agency GRIP Project entitled Building Satellite Data into Fisheries and Oceans Operational Systems.

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摘要： In recent years, linear fractal sea surface models have been developed for the sea surface in order to establish an electromagnetic backscattering model. Unfortunately, the sea surface is always nonlinear, particularly at high sea states. We present a nonlinear fractal sea surface model and derive an electromagnetic backscattering model. Using this model, we numerically calculate the normalized radar cross section (NRCS) of a nonlinear sea surface. Comparing the averaged NRCS between linear and nonlinear fractal models, we show that the NRCS of a linear fractal sea surface underestimates the NRCS of the real sea surface, especially for sea states with high fractal dimensions, and for dominant ocean surface gravity waves that are either very short or extremely long.

Abstract: In recent years, linear fractal sea surface models have been developed for the sea surface in order to establish an electromagnetic backscattering model. Unfortunately, the sea surface is always nonlinear, particularly at high sea states. We present a nonlinear fractal sea surface model and derive an electromagnetic backscattering model. Using this model, we numerically calculate the normalized radar cross section (NRCS) of a nonlinear sea surface. Comparing the averaged NRCS between linear and nonlinear fractal models, we show that the NRCS of a linear fractal sea surface underestimates the NRCS of the real sea surface, especially for sea states with high fractal dimensions, and for dominant ocean surface gravity waves that are either very short or extremely long.

Key words: fractals, nonlinearities, sea surface electromagnetic scattering

中图分类号:  (Upper ocean and mixed layer processes)

  • 92.10.Fj
92.10.Hm (Ocean waves and oscillations) 91.50.Iv (Marine magnetics and electromagnetics)