The features of refraction (including the Goos-Hánchen effect) of a TM or TE bulk electromagnetic wave incident from outside on the surface of a chiral magnetoelectric with the homogeneous antisymmetric magnetoelectric interaction has been analytically studied on an example of the two-sublattice model of a multiferroic. In particular, it has been shown that the requirement that the diagonal components of the permeability and permittivity tensors are simultaneously negative is not necessary for the implementation of the properties of a left-handed medium. The results have been generalized to the case of an easy-axis antiferromagnet with an antisymmetry center with the mathematical equation represented structure in the static external magnetic field perpendicular to the easy axis of magnetization. Some results of this work were preliminarily reported in D.V. Kulagin, G.G. Levchenko, A.S. Savchenko, A.S. Tarasenko, and S.V. Tarasenko, JETP Lett. 92, 511 (2010).
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