一种基于保角变换的龙伯透镜优化设计方法

      A Luneburg Lens Optimization Design Approach Based on Conformal Mapping

      • 摘要: 提出了一种适用于非均匀分层的多层龙伯透镜的分析与优化设计方法。通过保角变换,并结合射线模型,推导出了分层透镜的射线传播轨迹方程,据此建立了以口面相位均匀分布、透镜反射损耗最小和口面输出射线垂直为目标的优化模型,并采用启发式优化模块求解该模型。最后以该模型设计了一种7层龙伯透镜天线,全波仿真结果表明,本文提出的分层方案相比起其他方法得到的分层方案具备更高的口面效率、更低的旁瓣水平以及更好的工程可实现性。

         

        Abstract: An analysis and optimization design approach suitable for non-uniform multilayer Luneburg lenses is proposed. Employed conformal transformation, combined with ray tracing model, the ray propagation trajectory equation for layered lenses is derived. Sequentially an optimization model is established with the goals of uniform phase distribution at the aperture, minimal lens reflection loss, and output ray perpendicular to the aperture. A heuristic optimization module is used to solve this model, and finally the structural parameters of a 7-layer Luneburg lens are provided. Full-wave simulation results show that, compared with schemes obtained by other approaches, this layered solution has higher aperture efficiency, lower sidelobe level and better engineering feasibility.

         

      /

      返回文章
      返回