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Interaction of an electromagnetic wave with nanostructure of a cylindrical form with nonlinear dependence of dielectric permeability on a field is considered. The mathematical model and algorithm of finding of a longitudinal electromagnetic wave considering influence of a transverse wave and contribution of potential of interaction near a singular point of system is offered. On the basis of the developed algorithm numerical results for a metal nanocluster were received.

MODELING OF PROPAGATION OF TRANSVERSE AND LONGITUDINAL ELECTROMAGNETIC WAVES IN NANOSTRUCTURES WITH NONLINEAR PROPERTIES