We have analyzed analytically the Faraday rotation of an electromagnetic wavefor magnetoactive thin metallic film with a nanostructured surface profile.Periodical as well as random surface profiles were considered. The plasmoncontribution to the Faraday angle was studied. For periodical grating case, wehave shown that the maximum of rotation angle is achieved when surface plasmonwave number coincides with one of the wave numbers of the inverse lattice.Enhancement of the Faraday angle at plasmonic band edges is predicted. In thecase of random surface profile, it is shown that the diffusion of surfacemagnetoplasmons gives a dominant contribution to Faraday rotation. Comparisonwith the experiments is carried out.
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