A feeding algorithm has been proposed for the excitation of the optimal electric current of Rayleigh quotient form optimization problems. Modal weighting coefficients of the corresponding generalized eigenvalue problem are calculated to form the correlation information between the desired and all other unwanted modes. Based on this information, multiple feeds are arranged to approximate the desired current distributions. The eigencurrent distribution is also utilized for some shape modification to the radiator for a possible feed number reduction. Three canonical optimization problems for electrically small antennas, minimum Q, maximum G/Q, and maximum G are studied and discussed. Several numerical examples with a certain arbitrary shape and electrical size are given. With the proposed feeding algorithm, calculated and simulated current distributions and performance indices are close to the theoretical optimum solution. Finally, a practical feeding network design for a classic characteristic mode problem is shown as a validation.

中文翻译：

---

基于本征模相关的多馈天线最佳电流算法

提出了一种馈送算法，用于激发瑞利商形式优化问题的最佳电流。计算相应的广义特征值问题的模态加权系数，以形成所需模式和所有其他不需要模式之间的相关信息。基于此信息，可以安排多个馈电以近似所需的电流分布。本征电流分布还用于对散热器进行某种形状修改，以减少进料数量。小型电气天线的三个规范优化问题，最小Q，最大G / Q和最大G被研究和讨论。给出了具有一定任意形状和电气尺寸的几个数值示例。使用提出的馈电算法，计算和模拟的电流分布和性能指标接近理论上的最佳解决方案。最后，显示了针对经典特征模式问题的实用馈电网络设计作为验证。