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基于Berkhoff的缓坡方程,提出了具有任意反射系数边界的泛函公式,并给出了求解折射绕射综合问题的杂交元方法。在假定不同频率间的非线性效应可以忽略的前提下,给出了用线性叠加法模拟不规则波折射绕射综合问题的数学模型,并对不规则彼方向谱的分割作了数值研究,得到了有关频域和方向分割的优化值。为了验证本文所给的数学模型的正确性,将计算结果与实验结果进行了比较,结果表明本文的数学模型是可靠的。
Based on Berkhoff’s gentle slope equation, a functional formula with arbitrary reflection coefficient boundary is proposed, and a hybrid element method for solving the diffractive diffraction synthesis problem is given. Under the premise of negligible nonlinear effects between different frequencies, a mathematical model of the linear diffraction method to simulate irregular wave refraction and diffraction is given, and the numerical analysis of the irregular spectral distribution is given. Optimized for frequency and direction segmentation. In order to verify the correctness of the mathematical model given in this paper, the calculated results are compared with the experimental results. The results show that the mathematical model in this paper is reliable.