[en] The study of the properties of elementary magnetic excitations - spin waves or magnons - in the neighborhood of surfaces, discontinuities, defects, and impurities is an active field of solid-state magnetism. These modes are of interest for understanding relaxation phenomena as well as chemical reactions catalyzed by magnetic substrates. In this contribution we would like to report two different results: (1) some spectra of the spin-wave modes associated with clean and stepped surfaces of a ferromagnet - the clean and a stepped (001) surface of a face-centered-cubic solid; and (2) the unusual and yet unresolved difficulties encountered when similar procedures are attempted on antiferromagnetic surfaces and steps