In microwave antenna applications, continuum structures usually support attached functional surfaces to realize some specific electromagnetic performance. Topology optimization of continuum supporting structures with functional surfaces is a challenge for microwave antenna applications. By introducing the concept of aperture field distribution into the design domain, a weighting approach for the topology optimization of continuum supporting structures with functional surfaces is presented based on the SIMP model. With the weighting aperture field distribution, the objective function of compliance in the previous SIMP method is changed to a weighted compliance. By selecting an optimized control factor, a different truss topology structure with several components from the previous method is clearly obtained. The effectiveness of the proposed method is validated through three typical applications: array antennas, reflector antennas, and conformal antennas with planar and curved functional surfaces.

在微波天线应用中，连续体结构通常支撑附着的功能表面以实现某些特定的电磁性能。具有功能表面的连续体支撑结构的拓扑优化对于微波天线应用是一个挑战。通过将孔径场分布的概念引入设计领域，提出了一种基于SIMP模型的具有功能面的连续支撑结构拓扑优化的加权方法。通过加权孔径场分布，以前的SIMP方法中的依从性目标函数已更改为加权依从性。通过选择优化的控制因子，可以清楚地获得与先前方法不同的具有多个组件的桁架拓扑结构。