Abstract Electrodynamic (ED) analysis of the TEn0p ( T E θ φ r ) modes in a shielded single-crystal-5-mm-diameter yttrium iron garnet (YIG) sphere has been performed and compared with the results of previous experiments. Measurements and ED analysis of the H E 111 ± mode resonances in a polycrystalline Al-doped rod-shaped YIG sample have been performed for comparison. It has been shown that electromagnetic resonances in large shielded YIG spheres behave in a similar way as typical resonances occurring in dielectric resonators under conditions when the effective permeability is positive, and as so-called magnon resonances when the effective permeability is negative. Nevertheless, both types of resonances are solutions to the same transcendental equation. Computations reported herein suggest that the physical nature of resonance systems containing dispersive gyrotropic media can be described within a common framework of electromagnetic resonance systems with unequal stored magnetic and electric energies, which offers an alternative to the more widely used quantum and harmonic oscillator models.

中文翻译：

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大型亚铁磁 YIG 样品中的共振 - 电动分析

摘要 对直径为 5 毫米的屏蔽单晶钇铁石榴石 (YIG) 球体中的 TEn0p (TE θ φ r ) 模式进行了电动力学 (ED) 分析，并与之前的实验结果进行了比较。已经对多晶 Al 掺杂棒状 YIG 样品中的 HE 111 ± 模式共振进行了测量和 ED 分析以进行比较。已经表明，当有效磁导率为正时，大型屏蔽 YIG 球体中的电磁谐振的行为与介电谐振器中发生的典型谐振类似，而当有效磁导率为负时，则表现为所谓的磁振子谐振。然而，两种类型的共振都是同一个超越方程的解。