Abstract
The dispersion relation determining guided TE and TM modes are found for the slab hyperbolic waveguide. The waveguide is consisting of an isotropic dielectric slab bounded by hyperbolic media. Some differences between the features of the waveguide under consideration and conventional ones are obtained. In particular, in the case of hyperbolic waveguide TM modes have two cutoff frequencies. As a result the number of modes is limited. Both TE and TM modes have nonzero cutoff frequencies, even though waveguide is symmetric one. For the TE and TM modes the Poynting vector component along the wave’s propagation axis could be equal to zero.
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