The transmission of electromagnetic radiation at normal incidence through a finite antiferromagnetic-nonmagnetic superlattice is considered for an applied field normal to the interfaces (Faraday geometry) and for a field parallel to the interfaces (Voigt geometry). Besides the transmission spectra, we present the calculations of the dispersion curves for a relevant infinite superlattice to understand the features of the spectra. The transmission is weak or very weak at frequencies in the stop bands of the corresponding infinite superlattice, and these stop bands only appear at the Brillouin-zone edges (2n + 1)π/D, not at 2nπ/D.
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