This contribution is motivated by the current interest in topological materials and the studies in toroidal dipole interactions in metamaterials and nanophotonics. Its contents are presented in two parts, one on reviews of electrons in cylindrical boxes and magnetic fields and of electromagnetic multipole sources and fields in spherical toroids and new results on a complete family of electromagnetic multipole sources and fields in cylindrical toroids. The discussion and outlook of both parts may be helpful to appreciate the progress since previous reviews and also current works under way.

中文翻译：

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局限在球形和圆柱形环形中：A-量子点中的电子B-电磁多极源和场

当前对拓扑材料的兴趣以及超材料和纳米光子学中环形偶极子相互作用的研究激发了这一贡献。它的内容分为两部分，一部分是对圆柱盒中的电子和磁场以及球面环面中的电磁多极源和场的评论，以及一整套完整的圆柱环面中的电磁多极源和场的新结果。这两部分的讨论和展望都可能有助于欣赏自从先前的审查以及当前正在进行的工作以来取得的进展。