  Light in hyperbolic dispersion media is known to exhibit an intriguing
ray-like character. However, detailed understanding of ray-like excitations in
hyperbolic media is surprisingly limited, mostly based on numerical
simulations. In our work, we analytically describe the formation of multimodal
ray-like excitations in a planar slab of hyperbolic media. We demonstrate that
these rays have an approximately Lorentzian profile and that they propagate in
a zig-zagged manner. These rays acquire phase in a discrete fashion at every
internal reflection inside the slab and broaden at a rate which is proportional
to the rate of optical absorption. Moreover, based on this description, we
reveal a unique reflection mechnanism where destructive interefernce between
the different modes composing the ray can improve the strength of reflection at
an interface between a dielectric and a metalic substrate. This reflection
mechanism is highly asymmetric, occuring only when the ray is incident from the
side of the dielectric substrate to the side of the metallic substrate, and the
strength of reflection is shown to be directly related to the width of the ray.
