李顾凯,吴语茂,窦玉莹,等. 任意凸目标测地线自适应高效算法[J]. 电波科学学报,2024,39(3):1-8. DOI: 10.12265/j.cjors.2024021
      引用本文: 李顾凯,吴语茂,窦玉莹,等. 任意凸目标测地线自适应高效算法[J]. 电波科学学报,2024,39(3):1-8. DOI: 10.12265/j.cjors.2024021
      LI G K, WU Y M, DOU Y Y, et al. An efficient adaptive algorithm for geodesic path of arbitrary convex targets[J]. Chinese journal of radio science,2024,39(3):1-8. (in Chinese). DOI: 10.12265/j.cjors.2024021
      Citation: LI G K, WU Y M, DOU Y Y, et al. An efficient adaptive algorithm for geodesic path of arbitrary convex targets[J]. Chinese journal of radio science,2024,39(3):1-8. (in Chinese). DOI: 10.12265/j.cjors.2024021

      任意凸目标测地线自适应高效算法

      An efficient adaptive algorithm for geodesic path of arbitrary convex targets

      • 摘要: 高频表面波从任意曲面目标表面阴影边界沿测地线路径传播,其绕射场由沿测地线对爬行波Fock电流进行积分获得。本文改进了传统的阴影边界算法并提出一种基于投影夹角法(projection angle method, PAM)的测地线循迹改进算法。首先提出面元自适应重构对三角网格的阴影边界优化,判定目标表面精确的阴影边界和亮暗区面元。然后在精确阴影边界的基础上,进一步提出一种基于PAM的测地线循迹改进方法,准确辨别测地线的传播面元。本文算法在方向和距离两要素的基础上应用重心坐标法优化传播点,从而形成任意曲面上的测地线循迹路径。数值算例表明,该方法能够计算典型球、飞机机身、导弹等任意闭合曲面目标的测地线,测地曲率在10−3量级,能够满足爬行波散射场计算的工程需求。

         

        Abstract: The high frequency surface wave starts propagating from the shadow boundary of the arbitrary curved surface along the geodesic path. The diffracted field contributed by the surface wave could be computed by the integral of the Fock current along the geodesic. In this paper, we improve the traditional shadow boundary algorithm and propose an improved geodesic tracing method based on projection angle method(PAM). The patch adaptive reconstruction method to optimize the shadow boundary of the triangular patch is proposed and adjudge precise shadow boundaries which divide light and shadow patches on the curved surface. Furthermore, an improved method for geodesic tracing based on the projection angle method is presented, which can accurately identify the propagation patch of the geodesic path. Based on direction and distance parameters, the barycentric coordinate method is applied to optimize the propagation point to form an accurate geodesic path. Numerical examples verify that the proposed method could calculate the geodesic path of the arbitrary curved surface with a 10−3 geodesic curvature such as body of aircraft and missile, which could meet the engineering requirements for computing the creeping wave scattered field.

         

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