Abstract. 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.

Received: August 25, 2016

Revised: September 26, 2016

Published: October 1, 2016

AMS Subject Classification: 82D80

Key Words and Phrases: Schrödinger equation, nonlinear Schrödinger equation, Mie theory, nanostructures, transverse and longitudinal waves
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DOI: 10.12732/ijpam.v109i3.17 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 3
Pages: 691 - 708

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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