About self-organization and dispersion of eigen fields of a nonlinear dielectric layer

The open nonlinear electrodynamic system - nonlinear transverse nonhomogeneous dielectric layer - is an example of an inorganic system having the properties of self-organization which is peculiar to biological systems. The necessary precondition of the effects of self-organization is the presence of a flow of energy acting in the system from an external source, due to which the system gets the ability to form structures independently (see Loskutov, A.Yu. and Mikhailov, A.S., "Introduction into Synergetics", Nauka Publishers, 1990). On an example of the nonlinear transverse nonhomogeneous dielectric layer, the constructive approach of the analysis of amplitude/phase dispersion of eigen oscillation-wave fields of a nonlinear object, the norm of an eigen field is defined from the solution of a diffraction problem of plane waves or excitation of a point or compact source of a nonlinear layer.