Abstract
The wave equation has in free space many classes of localized solutions with finite energy propagating without distortion which would make these pulses useful in many domains as soon as one is able to launch them. Among these localized waves, the so-called focus wave modes are the most serious candidates and could be constituents of the cosmic gamma rays recently observed. So the analysis of their propagation in nonhomogeneous media, a problem of interest in itself, could be used to deal with their behavior in the interstellar space. We assume here a medium with a refractive index varying slightly with the altitude, a bit like in troposphere. We get approximate expressions for plane waves and focus wave modes propagating in this medium.
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