Lower Bounds on Substructure Antenna $Q$ -Factor
Lower Bounds on Substructure Antenna $Q$ -Factor
复制标题
子结构天线 $Q$ 下限 - 因子
DOI：
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发表时间：
2018
影响因子：
5.7
通讯作者：
Jacob J. Adams
中科院分区：
文献类型：
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作者：
K. Schab;Binbin Yang;B. Hughes;Jacob J. Adams
在一个固定的区域内（相当于一个完美的导电结构）的电流的$<inline-formula><tex-math notation="LaTeX">Q$</tex-math></inline-formula>-因子的下限计算是用来推导出相应的边界内的任何子区域（子结构）的电流。调谐和未调谐<inline-formula><tex-math notation="LaTeX">的$Q$</tex-math></inline-formula>-因素进行了研究，使用本征值技术和庞加莱分离定理。我们表明，调整<inline-formula><tex-math notation="LaTeX">$Q$</tex-math></inline-formula>-因子的子结构是有界的，从下面的最小<inline-formula><tex-math notation="LaTeX">$Q$</tex-math></inline-formula>-因子的完整结构。此外，我们推导出，所有的子结构的模态非调谐<inline-formula><tex-math notation="LaTeX">$Q$</tex-math></inline-formula>-因子是有界的从下面的相应的模态非调谐<inline-formula><tex-math notation="LaTeX">$Q$</tex-math></inline-formula>-因子的完整结构。数学结果通过涉及随机产生的子结构，启发式设计和遗传优化的数值例子来证明。
Calculation of the lower bound on <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factor for currents within a fixed region (equivalently on a perfectly conducting structure) is used to derive corresponding bounds for currents located within any subregion (substructure). Both tuned and untuned <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factors are studied using eigenvalue techniques and the Poincaré separation theorem. We show that the tuned <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factor of a substructure is bounded from below by the minimum <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factor of the full structure. Furthermore, we derive that all modal untuned <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factors of a substructure are bounded from below by the corresponding modal untuned <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-factors of the full structure. Mathematical results are demonstrated through numerical examples involving substructures produced at random, by heuristic design and by genetic optimization.