In this work the conditions for resonance amplification by the layer of 2D magnetic composite both bulk and shear evanescent waves incident upon the materials’ surface have been determined. As an example of composite medium the system of identical metal-coated ferro- and antiferromagnetic wires parallel to the Z-direction (it’s also the easy axes) in the elastically isotropic nonmagnetic matrix have been considered. Analyze of this dynamical problem was carried out in the frame of effective medium method. To this end the acoustic analog of Maxwell, Garnett, symmetrized Maxwell-Garnett, and Sheng approximations that actively used in polariton dynamics of fine-dispersed media have been obtained. Received data was correlated with the results of shear bulk wave scattering by the isolated metal-coated ferro- and antiferromagnetic cylinders.

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