The Fast Physical Optics Method for Calculating the Scattered Field From the Rough Surface

Feng-hua Song, Yumao Wu, Yaqiu Jin
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Abstract

In this paper, the fast physical optics (FPO) method for the scattering field of rough surface is proposed. The surface is discretized by quadratic patches. After transforming it into parameter coordinate system, the amplitude and function of physical optical integration are approximated by Lagrange interpolation polynomials. Finally, the closed-form formulas of FPO is obtained by using the complementary error function. Compared with the traditional method, FPO method can greatly reduce the number of patches when it is discrete, and the accuracy is within the acceptable error range. Numerical examples show the effectiveness of the proposed FPO method in accuracy.
计算粗糙表面散射场的快速物理光学方法
提出了粗糙表面散射场的快速物理光学(FPO)方法。曲面用二次块离散化。将其转化为参数坐标系后,用拉格朗日插值多项式近似表示物理光学积分的振幅和函数。最后,利用互补误差函数得到了FPO的封闭表达式。与传统方法相比,FPO方法在离散时可以大大减少patch的数量,且精度在可接受的误差范围内。数值算例表明了该方法在精度上的有效性。
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