Due to the non-overlapping Reststrahlen bands, both type I and type II hyperbolic responses are available in hexagonal boron nitride (hBN), which can be used as the guiding medium or the cladding medium in the slab waveguide. The characteristics of guided waves in the slab waveguide with hBN are theoretically investigated, and the existence conditions of the guided and surface modes of waveguides in the two types of hyperbolic responses are analyzed by using the graphic method. It is shown that, in the type-Ι hyperbolicity of the hBN waveguide, both TE and TM guided modes are existent. In the type-ΙΙ hyperbolicity, both the guided and surface modes are existent for TM guided waves; however, the guided and surface modes of TE polarization are absent. In addition, the propagation constant and the normalized power versus the thickness of waveguide are showed and the cutoff thickness and the power localization are discussed.

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