相控阵天线的物理限制
Physical limitations of phased array antennas
摘要：
在本文中，上的Q-因子，一个数量成反比的带宽，推导和研究的窄带相控阵天线的界限。阵列在自由空间和地面以上被认为是。通过求解电流密度的最小化问题来确定Q因子界。这些电流密度的支持是在一个元件封闭的区域，并在这个区域中封闭的无损天线元件的约束。Q因子最小化问题被配制成二次约束二次优化问题，该问题通过半定松弛或基于特征值的方法来解决。我们数值说明这些界限可以用来确定的Q因子和其他设计规格之间的权衡关系：元件的形状因子，尺寸，效率，扫描能力，和偏振纯度。
英文摘要：
In this paper, the bounds on the Q-factor, a quantity inversely proportional to bandwidth, are derived and investigated for narrow-band phased array antennas. Arrays in free space and above a ground plane are considered. The Q-factor bound is determined by solving a minimization problem over the electric current density. The support of these current densities is on an element-enclosing region, and the bound holds for lossless antenna elements enclosed in this region. The Q-factor minimization problem is formulated as a quadratically constrained quadratic optimization problem that is solved either by a semi-definite relaxation or an eigenvalue-based method. We illustrate numerically how these bounds can be used to determine trade-off relations between the Q-factor and other design specifications: element form-factor, size, efficiency, scanning capabilities, and polarization purity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
