Optimal Realizations of Passive Structures
Optimal Realizations of Passive Structures
复制标题
被动结构的优化实现
DOI：
--
复制
发表时间：
2014
影响因子：
5.7
通讯作者：
D. Sjoberg
中科院分区：
文献类型：
--
作者：
S. Nordebo;M. Gustafsson;B. Nilsson;D. Sjoberg
本文提出了一种凸优化方法来研究无源电磁结构的优化实现。优化方法补充了最近开发的理论和技术，以获得在给定带宽上运行的无源系统的求和规则和物理限制。求和规则完全基于相应的Herglotz函数的分析性质。然而，求和规则的应用受到关于系统的低频和高频渐近行为的某些假设的限制，并且求和规则通常不提供关于手头的无源系统的最佳实现的太多信息。与此相反，相应的凸优化问题，制定明确产生的Herglotz函数作为被动结构的最佳实现。该过程不需要对低频和高频渐近行为进行任何额外的假设，但可以直接将额外的凸约束纳入公式中。典型的应用领域涉及天线、周期性结构、材料响应、散射、吸收、反射和消光。在本文中，我们考虑三个具体的例子，波导，无源超材料和无源雷达吸收器的色散补偿。
This paper presents a convex optimization approach to study optimal realizations of passive electromagnetic structures. The optimization approach complements recently developed theory and techniques to derive sum rules and physical limitations for passive systems operating over a given bandwidth. The sum rules are based solely on the analytical properties of the corresponding Herglotz functions. However, the application of sum rules is limited by certain assumptions regarding the low- and high-frequency asymptotic behavior of the system, and the sum rules typically do not give much information towards an optimal realization of the passive system at hand. In contrast, the corresponding convex optimization problem is formulated to explicitly generate a Herglotz function as an optimal realization of the passive structure. The procedure does not require any additional assumptions on the low- and high frequency asymptotic behavior, but additional convex constraints can straightforwardly be incorporated in the formulation. Typical application areas are concerned with antennas, periodic structures, material responses, scattering, absorption, reflection, and extinction. In this paper, we consider three concrete examples regarding dispersion compensation for waveguides, passive metamaterials and passive radar absorbers.