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An antiferromagnet as a tunable single-phase elastic hyperbolic medium with spatial dispersion

For a plane and quasi-plane SH-type bulk wave incident from the outside onto a system of equidistant antiferromagnetic dielectric layers, the inclusion of the spatial dispersion in the antiferromagnet as a hyperbolic magnetoacoustic medium induces a number of resonant refractive anomalies: the effects of total reflection (transmission) and the formation of discrete localized magnon-phonon states against the continuous spectrum, the amplification of the angular Schoch effect, and in the case of a one-dimensional resonant magnetic phonon crystal, the acoustic superradiance effect.