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针对经典分形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(WM)分形模型相结合的一维粗糙海面模型,确定了功率谱的闭式解,并且和Pierson-Moscowitz(PM)谱进行了比较,两者吻合较好。在双尺度法下推导了改进模型电磁散射系数的闭合解,对Longuet-Higgins模型、经典分形模型和改进模型的电磁散射系数的角分布进行了比较,发现3种模型散射系数之间的差距主要是由于大尺度波浪的不同造成的,证明了改进模型的有效性,并通过实测数据进行了验证。
Aiming at the problem that the power spectrum of the classical fractal model can not satisfy the positive power rate when the spatial wavenumber is less than the fundamental wavenumber, a statistical model and a normalized one-dimensional rough sea surface with Weierstrass-Mandelbrot (WM) fractal model are proposed Model, the closed-form solution of the power spectrum is determined and compared with the Pierson-Moscowitz (PM) spectrum, which is in good agreement. The closed-form solution of the electromagnetic scattering coefficient of the improved model is deduced under the double-scale method. The angular distributions of the electromagnetic scattering coefficients of the Longuet-Higgins model, the classical fractal model and the improved model are compared. It is found that the differences between the scattering coefficients of the three models are mainly Which is caused by the difference of large-scale waves. It proves the effectiveness of the improved model and is validated by the measured data.