基于改进SBR-WCA混合方法的含破碎波海面与电大目标复合散射研究

    A Study on the Composite Scattering of Broken Waves and Large Targets Using an Improved SBR-WCA Hybrid Method

    • 摘要: 针对高海情下电大尺寸目标与复杂海面的复合电磁散射,提出一种改进弹跳射线法(Shooting and Bouncing Ray,SBR)与加权曲率近似(Weighted Curvature Approximation,WCA)的混合算法。在SBR中,引入线索K维树(K-Dimensional Tree,kd‑tree)与相邻面元反向追踪提升射线追踪效率,结合物理绕射理论(Physical Theory of Diffraction,PTD)修正棱边绕射。海面基于Elfouhaily谱生成,用劈结构近似破碎波,各面元散射由WCA计算,其核函数引入局部曲率加权因子,克服微扰法仅适于微起伏的局限。海面大尺度非布拉格散射及破碎波多径散射由改进SBR统一处理。复合散射将总场分解为目标、海面及六类耦合路径,通过统一射线追踪计算多次反射。仿真表明:改进SBR在保证精度下效率提升数倍至两个数量级;含破碎波海面后向雷达散射截面积(Radar Cross Section,RCS)与实测趋势一致,在舰船等电大目标与含破碎波海面复合散射中,目标自身散射占主导,破碎波对总后向RCS影响较小,可近似忽略。

       

      Abstract: To address the composite electromagnetic scattering of large-sized targets and complex sea surfaces under high-sea-state conditions, this study proposes a hybrid algorithm that combines an improved Shooting and Bouncing Ray (SBR) method with the Weighted Curvature Approximation (WCA). In the SBR method, a K-dimensional tree (kd-tree) and reverse tracing of adjacent surface elements are introduced to improve ray-tracing efficiency, and the Physical Theory of Diffraction (PTD) is applied to correct edge diffraction. The sea surface is generated based on the Elfouhaily spectrum, with broken waves approximated using a cleaved-wave structure. Scattering from each surface element is calculated using WCA, whose kernel function incorporates a local curvature weighting factor to overcome the limitation of perturbation methods, which are only suitable for small-scale undulations. Large-scale non-Bragg scattering from the sea surface and multipath scattering from broken waves are uniformly handled by the improved SBR. Composite scattering decomposes the total field into target, sea surface, and six types of coupled paths, and multiple reflections are calculated through unified ray tracing. Simulations show that the improved SBR method increases efficiency by several times to two orders of magnitude while maintaining accuracy; the radar cross section (RCS) of a sea surface with broken waves is consistent with measured trends. In composite scattering involving large targets such as ships and a sea surface with broken waves, the target’s own scattering dominates, while the influence of broken waves on the total rearward RCS is small and can be approximately neglected.

       

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