标题： 带有辅助边电阻的天线品质因数拓扑优化 显示英文标题

标题： Antenna Q-Factor Topology Optimization with Auxiliary Edge Resistivities

摘要： 本文提出了一种新颖的双层拓扑优化策略，属于矩量法范式。 所提出的方案利用了一种称为边电阻的辅助变量，该变量与Rao-Wilton-Glisson方法中的矩基函数相关，用于定义快速局部优化算法。 局部算法结合了自动微分和自适应梯度下降。 贝叶斯优化方案应用于局部算法之上，以搜索delta-gap馈电的最佳位置及其超参数。 该算法的优势在小型化天线的Q因子最小化上得到了验证。 辅助边电阻拓扑优化在收敛性方面优于当前最先进的拓扑优化方法，包括基于密度的方法和混合方法。 然而，由于梯度下降的本质，需要仔细调整优化器的超参数。 此外，所提出的方法解决了已知的二值化问题。 两个实现自谐振并接近Q因子下限的设计进一步在CST Microwave Studio中进行了评估。 显示英文摘要

摘要： This paper presents a novel bi-level topology optimization strategy within the method-of-moments paradigm. The proposed approach utilizes an auxiliary variables called edge resistivities related to the Rao-Wilton-Glisson method-of-moments basis functions, for a definition of a fast local optimization algorithm. The local algorithm combines automatic differentiation with adaptive gradient descent. A Bayesian optimization scheme is applied on top of the local algorithm to search for an optimum position of the delta-gap feeding and optimizer hyperparameters. The strength of the algorithm is demonstrated on Q-factor minimization for electrically small antennas. Auxiliary edge resistivity topology optimization outperforms current state-of-the-art topology optimization methods, including density-based approaches and memetic schemes, in terms of convergence. However, due to the nature of gradient descent, careful tuning of the optimizer hyperparameters is required. Furthermore, the proposed method solves the known binarization issue. Two designs that achieved self-resonance and approached the Q-factor lower bound were further assessed in CST Microwave Studio.