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Interdependence between the Distribution of a Spin Wave across the Thickness of a Ferrite Plate and the Directions of Its Group and Phase Velocities

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A study is performed of the general nonreciprocal characteristics of a surface spin wave and a backward spin wave in a tangentially magnetized plane-parallel ferrite plate. The rule governing the interdependence between the localization of a spin wave across the thickness of the ferrite plate and directions of its group and phase velocities is established.

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Notes

  1. An exception is when both waves propagate parallel to the vector of an external magnetic field in opposite directions. Only then do these waves have the identical magnetic potential distributions across the ferrite plate and are therefore excited with the same amplitude.

  2. For the sake of brevity, the abbreviation BSW represents the first BSW mode, which is usually observed in experiments.

  3. Quantity Ψ0n is defined below; see Footnote 1 as well.

  4. It is obvious that this rule was formulated in terms of the laws of geometric optics, in which the concept of a beam is used. It is considered that the length of an SW is much less than the width of the beam (or the length of the transducer) and diffraction phenomena are negligible.

  5. Recall that only a collinear SW propagating parallel to axis z exhibits no nonreciprocity.

  6. For the sake of brevity, we call a wave collinear if it is characterized by a collinear orientation of the wave vector and the group velocity vector [12].

  7. Note that Fig. 1 in [16] describes incorrectly the direction of BWS propagation, due to the poor arrangement of the system of coordinates.

  8. The definitions and physical meaning of the cutoff angles of the group velocity and wave vectors were presented in more detail in Section 6.3 of [12].

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Funding

This work was performed as part of a State Task from the RF Ministry of Science and Higher Education for the Kotelnikov Institute of Radio Engineering and Electronics.

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Authors and Affiliations

  1. Kotelnikov Institute of Radio Engineering and Electronics (Fryazino Branch), Russian Academy of Sciences, 141190, Fryazino, Moscow oblast, Russia

    E. H. Lock & S. V. Gerus

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  1. E. H. Lock
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  2. S. V. Gerus
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Correspondence to E. H. Lock.

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The authors declare that they have no conflicts of interest.

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Translated by E. Bondareva

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Lock, E.H., Gerus, S.V. Interdependence between the Distribution of a Spin Wave across the Thickness of a Ferrite Plate and the Directions of Its Group and Phase Velocities. Bull. Russ. Acad. Sci. Phys. 87, 1528–1532 (2023). https://doi.org/10.3103/S1062873823703628

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  • DOI: https://doi.org/10.3103/S1062873823703628

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