Аннотация:The simplest example of a preloaded media is an elastic cord anchored to a solid base by elastic elements. Wave motion in such a media are described by the Scalar Klein-Gordon equation. We analyse this equation using the concept of analytical continuation of dispersion diagram.Particularly, it is shown that the dispersion diagram is topologically equivalent to a tubeanalytically embedded in two-dimensional complex space. The corresponding Fourier integralis studied on this tube using the Cauchy’s theorem. The basic properties of the scalarKlein-Gordon equation are established.