“…In this paper, the simplest onedimensional (1-D) version of such waveguides, with a threelayer step-index planar structure composed of a guiding core film, the cover region, and the substrate region, is considered, a mode of which can be considered as weighted superposition of two ordinary and two extraordinary plane waves [2]. A leaky guided mode can occur when the ordinary and extraordinary waves are coupled but not both reflected totally internally from the core interfaces, causing power leakage into the cover and substrate regions, as was observed experimentally [3]. Marcuse and Kaminow [4] analytically obtained modal losses versus the rotated angle of the optic axis in the interface plane for a symmetric slab waveguide in birefringent media, although it is not so obvious that the characteristic equations reported in [4] could be solved for getting complex propagation constants for leaky guided modes [4].…”