论文名称：A Tiling Method for Sub-Arrayed Spherical Conformal Phased Array Antennas Based on Maximum 3-Dimensional Space Entropy Model。球形共形相控阵天线（具有出色的宽角扫描能力，但其高昂的成本和复杂的设计阻碍了其大规模和广泛应用。针对本问题，本研究提出了一种基于最大三维空间熵模型的子阵划分球形共形相控阵天线的拼接方法。通过引入球形天线的三维空间熵概念，将子阵划分问题转化为全阵列的子阵划分，从而避免了球形天线在不同扫描角度下辐射孔径变化的问题。随后，基于最大三维空间熵模型的凸整数规划对由双单元拼接形成的子阵球形天线的划分拓扑进行二进制编码和优化。基于优化后的子阵布局，采用凸优化方法进一步完成了极化阵列方向图的综合设计。本研究提供了两个具有真实模拟单元方向图的数值算例，以验证所提方法的有效性。结果表明，在半球形波束覆盖范围内，最优化的子阵球形天线相比原始球形天线减少一半收发通道情况下，其方向性仅降低了1.1 dB到1.9 dB。此外，最优化的子阵球形天线在与相同通道数量的其他阵列相比时也表现出了更优异的扫描性能。工作主要完成人：林宏声，程钰间。

论文链接：https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10422753

Abstract—Spherical conformal phased array antennas (SCPAAs) offer exceptional wide-angle scanning capabilities, yet their high cost and intricate design present significant barriers to large-scale and widespread application. In response, this article introduces a tiling method for sub-arrayed SCPAAs, guided by a maximum 3-D space entropy model (M3D-SEM). By introducing the concept of 3-D space entropy for SCPAAs, the tiling problem can be transformed into a subarray partition for the full array, avoiding the issue of changeable radiation aperture of SCPAAs at different scanning angles. Then, the tiling topology formed by two-element tiles for sub-arrayed SCPAAs is binary coded and optimized by convex integer optimization programming based on M3D-SEM. The desired polarized array pattern synthesis is further finished by the convex optimization based on the optimized tiling layout for a sub-arrayed SCPAA. Two numerical examples with real simulated element patterns are provided to demonstrate the effectiveness of the suggested method. The results indicate that within the hemispherical beam coverage, the optimized sub-arrayed SCPAA with half of its transmit/receive (T/R) channels reduced, exhibits directivities only 1.1–1.9 dB lower compared with the original SCPAA. Moreover, the optimized sub-arrayed SCPAA also exhibits superior scanning performance when compared with other arrays with the same number of channels.

Index Terms—Convex optimization, integer programming, maximum 3-D space entropy model (M3D-SEM), phased array, polarized array pattern synthesis, sub-arrayed spherical conformal phased array.