计算偏心分层球腔频谱的有效势法
A method of effective potentials for calculating the frequency spectrum of eccentrically layered spherical cavity resonators
摘要：
提出了一种计算非均匀填充球腔谐振器本征频率的新方法。系统的对称性对电磁场分布的影响，以及对它的自由度（一组谐振模式）进行检查。结果表明，在角对称腔的情况下，无论其径向非均匀性，谐振器模式的集合，如预期的那样，TE和TM振荡的叠加，可以描述在一个单一的标量函数相互独立。频谱基本上是通过引入有效的“动态”的潜力，编码填充不均匀性。填充物介电性质中的极对称性的违反，同时保持方位角对称性，抑制了电型（TM）振荡的所有方位角非均匀模式。在谐振器填充物的电和磁性质两者的角度对称性不存在的情况下，预期在谐振器中仅出现TM场和TE场两者的方位角均匀分布。通过所提出的方法和使用商业求解器得到的测试问题的解决方案的结果进行了比较。该方法似乎是有效的计算复杂的算法解决频谱问题，包括研究电动系统的频谱混沌特性。
英文摘要：
A novel method for the calculation of eigenfrequencies of non-uniformly filled spherical cavity resonators is developed. The impact of the system symmetry on the electromagnetic field distribution as well as on its degrees of freedom (the set of resonant modes) is examined. It is shown that in the case of angularly symmetric cavity, regardless of its radial non-uniformity, the set of resonator modes is, as anticipated, a superposition of TE and TM oscillations which can be described in terms of a single scalar function independently of each other. The spectrum is basically determined through the introduction of effective ``dynamic'' potentials which encode the infill inhomogeneity. The violation of polar symmetry in the infill dielectric properties, the azimuthal symmetry being simultaneously preserved, suppresses all azimuthally non-uniform modes of electric-type (TM) oscillations. In the absence of angular symmetry of both electric and magnetic properties of the resonator infill, only azimuthally uniform distribution of both TM and TE fields is expected to occur in the resonator. The comparison is made of the results obtained through the proposed method and of the test problem solution obtained with use of commercial solvers. The method appears to be efficient for computational complex algorithms for solving spectral problems, including those for studying the chaotic properties of electrodynamic systems' spectra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
