Abstract
It is a familiar fact that in the approximation of geometrical optics the normal oscillations in a weakly inhomogeneous medium are independent. The approximation of geometrical optics is, however, violated close to those points where either the wave vector k(x) becomes zero (reversal point), or where the wave vectors corresponding to the different types of oscillation coincide (points of intersection of the solutions). In the immediate neighborhood of these points separation into normal oscillations is no longer possible, which in the case of “points of intersection of the solutions” leads to the possible appearance, in addition to the wave incident from infinity, of another new wave with different dispersive properties.
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