Electromagnetic wave propagation through nearly flat heterogeneous dielectric layer

The problem of electromagnetic wave propagation in the nearly plane heterogeneous weakly absorbing dielectric layer in case of the wave streaming on the layer nearly perpendicularly is solved. Phenomenon of qualitative dependence of the near zero permittivity (critical point) solution of the problem on small variations of it's parameters is discovered. The author's mathematical methods in the case of plane and spherical coordinate systems is applied. Surface wave propagation in plane layer is described and criterium of this wave appearance is given. Discovery may be applying in optical switching, which near zero permittivity depends on small physical parameters: absorption, angle of wave incidence, inverse radius of curvature and temperature at first.