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In the present work we theoretically analyze the contribution from atransverse Fermi-liquid collective mode to the transmission of electromagneticwaves through a thin film of a clean metal in the presence of a strong externalmagnetic field. We show that at the appropriate Fermi surface geometry thetransverse Fermi-liquid wave may appear in conduction electrons liquid atfrequencies $\omega$ significantly smaller than the cyclotron frequency ofcharge carriers $\Omega$ provided that the mean collision frequency $\tau^{-1}$is smaller than $\omega.$ Also, we show that in realistic metals sizeoscillations in the transmission coefficient associated with the Firmi-liquidmode may be observable in experiments. Under certain conditions theseoscillations may predominate over the remaining size effects in thetransmission coefficient.

Fermi-liquid and Fermi surface geometry effects in propagation of low frequency electromagnetic waves through thin metal films