Planar antennas are large spacecraft primarily used in various fields such as communication, Earth observation, astronomical observation, and scientific experiments. They require high surface accuracy, with the array needing to have uniform thickness and flat surfaces. An ultra-large planar antenna means higher receiving sensitivity and greater coverage area, which is the trend for the future. During launch, the planar antenna needs to be folded to fit into the payload capsule. In this study, a programmable thick-panel Miura-ori unit that has uniform thickness and satisfies the Bennett linkage condition is developed. After special design, this unit can be infinitely expanded in the row and column directions, allowing for the folding of planar antennas of any size (rows × columns). For each vertex inside the planar antenna, there are four panels around it, and their connection relationships all satisfy the Bennett linkage condition, resulting in the entire planar antenna having only one degree of freedom. The sector angle of each parallelogram can approach 90°, compacting the folding form of the planar antenna. Furthermore, a layout scheme for an ultra-large planar antenna is provided, the deployment ratio, envelope diameter and envelope height are derived, and the complete unfolding process of the ultra-large planar antenna is demonstrated. Finally, the effectiveness of the proposed method for satellite planar antennas is verified through an experiment.

中文翻译：

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用于超大型一自由度平面天线的可编程厚板 Miura-ori


平面天线是大型航天器，主要应用于通信、对地观测、天文观测、科学实验等领域。它们需要很高的表面精度，阵列需要具有均匀的厚度和平坦的表面。超大平面天线意味着更高的接收灵敏度和更大的覆盖范围，这是未来的趋势。在发射过程中，平面天线需要折叠以装入有效载荷舱中。在本研究中，开发了一种厚度均匀且满足 Bennett 联动条件的可编程厚板 Miura-ori 单元。经过特殊设计，该单元可以在行和列方向上无限扩展，从而可以折叠任意尺寸（行×列）的平面天线。对于平面天线内部的每个顶点，其周围有四个面板，它们的连接关系均满足贝内特连杆条件，导致整个平面天线只有一个自由度。每个平行四边形的扇形角可以接近90°，紧凑了平面天线的折叠形式。此外，还给出了超大平面天线的布局方案，推导了展开比例、包络直径和包络高度，并演示了超大平面天线的完整展开过程。最后通过实验验证了该方法对于卫星平面天线的有效性。