标题： 模态品质因数的性质 显示英文标题

标题： Properties of Modal Quality Factors

摘要： 球面波函数在天线的理论研究中起着重要作用。 当它们被用于研究天线外接球体以外的存储能量时，会出现两种不同类型的模态品质因数，这些因数表现出一些有趣的特性。 这些特性可以通过数值表格轻松演示，但多年来从未被严格证明，一直未得到解决。 本文尝试解决这些长期存在的问题。 获得了模态品质因数的新特性和新的幂级数展开式，这些特性本质上属于球贝塞尔函数，因此具有普遍适用性。 显示英文摘要

摘要： Spherical wave functions play an important role in the theoretical study of antenna. When they are used to investigate the stored energy outside the circumscribing sphere of the antenna, two different types of modal quality factors appear which exhibit some interesting properties. These properties can be easily demonstrated by numerical tabulations but have never proved rigorously and have remained unsolved for many years. An attempt is made in this paper to try to solve these longstanding problems. New properties and new power series expansions for the modal quality factors have been obtained, which essentially belong to the spherical Bessel functions and therefore are universally applicable.