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Justification of an integro-functional method for the analysis of plasmonic structures

Justification of an integro-functional method for the analysis of plasmonic structures We give a mathematical justification of a new scheme of the discrete sources method, which permits one to analyze scattering properties of plasmonic structures. The completeness and closedness of the system of basis functions underlying the representation of the approximation solution are proved. We establish the linear independence of the system of functions with sources placed in the complex plane, which are used for the representation of the internal field. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Justification of an integro-functional method for the analysis of plasmonic structures

Differential Equations , Volume 49 (9) – Nov 13, 2013

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113090073
Publisher site
See Article on Publisher Site

Abstract

We give a mathematical justification of a new scheme of the discrete sources method, which permits one to analyze scattering properties of plasmonic structures. The completeness and closedness of the system of basis functions underlying the representation of the approximation solution are proved. We establish the linear independence of the system of functions with sources placed in the complex plane, which are used for the representation of the internal field.

Journal

Differential EquationsSpringer Journals

Published: Nov 13, 2013

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