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Electromagnetic waves in tangentially magnetized bi-gyrotropic layer (with an example of analysis of spin wave characteristics in a ferrite plate)

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Fryazino Branch of the V.A. Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, pl. Vvedenskogo 1, Fryazino, Moscow Region, 141190, Russian Federation

We discuss the difficulties arising from the description of spin waves in magnetostatic approximation, in which neither the microwave electric field nor the Poynting vector is associated with the wave. To overcome these difficulties, we present for the first time a correct solution to the problem of electromagnetic wave propagation in an arbitrary direction along a tangentially magnetized bi-gyrotropic layer (a special case of this problem is the propagation of spin waves in a ferrite plate). It is shown that the wave distribution over the layer thickness is described by two different wave numbers $k_{x21}$ and $k_{x22}$, which can take real or imaginary values; in particular, three types of spin wave distribution can occur inside the ferrite plate — surface-surface (when $k_{x21}$ and $k_{x22}$ are real numbers), volume-surface ($k_{x21}$ is imaginary and $k_{x22}$ is real) and volume-volume ($k_{x21}$ and $k_{x22}$ are imaginary numbers), which fundamentally distinguishes the obtained description of spin waves from their description in the magnetostatic approximation.

Keywords: spin wave, ferrite plate, electromagnetic wave, bi-gyrotropic layer, wave distribution over the layer thickness
PACS: 41.20.Gz, 41.20.Jb, 75.70.−i (all)
DOI: 10.3367/UFNe.2024.09.039768
Citation: Lock E H, Gerus S V "Electromagnetic waves in tangentially magnetized bi-gyrotropic layer (with an example of analysis of spin wave characteristics in a ferrite plate)" Phys. Usp., accepted

Received: 30th, January 2024, revised: 9th, September 2024, 23rd, September 2024

Оригинал: Локк Э Г, Герус С В «Электромагнитные волны в касательно намагниченном бигиротропном слое (с примером анализа характеристик спиновых волн в ферритовой пластине)» УФН, принята к публикации; DOI: 10.3367/UFNr.2024.09.039768

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