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针对分形海面模型的功率谱在空间波数小于基波波数时不能满足正幂率的问题,提出了一种统计模型和归一化带限Weierstrass-Mandelbrot分形模型相结合的二维海面模型,并比较了3种模型的海面轮廓。在满足基尔霍夫近似的条件下推导了改进模型电磁散射系数的闭合解。对统计模型、经典分形模型和改进分形模型的非相干散射强度系数的角分布进行了比较,具体分析了在微波波段内不同入射频率和风速下改进模型非相干散射强度系数的情况。分析结果表明,相比其它两种经典模型,改进模型的海面形状具有大尺度涌浪和小尺度张力波的特性,并且其的电磁散射情况更符合海面的实际情况。
Aiming at the problem that the power spectrum of the fractal sea surface model can not meet the positive power when the spatial wave number is less than the fundamental wave number, a two-dimensional sea surface model combining the statistical model and the normalized band-limited Weierstrass-Mandelbrot fractal model is proposed and compared Three models of the sea profile. Under the condition of meeting the Kirchhoff’s approximation, the closed solution of the electromagnetic scattering coefficient of the improved model is deduced. The angular distributions of the incoherent scattering intensity coefficients of the statistical model, the classical fractal model and the improved fractal model are compared. The incoherent scattering intensity coefficients are improved under different incident frequencies and wind speeds in the microwave wave band. The analysis results show that compared with the other two classical models, the sea surface shape of the improved model has the characteristics of large-scale swell and small-scale tension waves, and its electromagnetic scattering is more in line with the actual situation of the sea surface.