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We study coupling of leaky Berreman modes in polar dielectric films (SiO2)through a thin metallic layer (gold) and show the familiar signatures of normalmode splitting. Due to very large negative real part of the dielectric functionof gold, the splitting shows up only for extremely thin coupling layers. Incontrast, coupling of Berreman modes through a dielectric spacer layer revealsnovel possibilities of having bound states in continuum, albeit in the limit ofvanishing losses. It is shown that the corresponding dispersion branches of thesymmetric and antisymmetric modes can cross. BIC is shown to occur on one ofthese branches which is characterized by lower loss. In fact the BICcorresponds to the point where the radiative losses are minimized. For thickerlayers (both spacer and the polar dielectric) BIC is shown to occur on thehigher order dispersion branches. The origin of BIC is traced to theFabry-Perot type mechanism due to the excitation of the leaky guided modes inthe central layer.

Exploring the route from leaky Berreman modes to bound states in continuum