Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables

This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic so...

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Main Authors:	Kurihara, Kazuyoshi, Otomo, Akira, Yamamoto, Kazuhiro, Takahara, Junichi, Tani, Masahiko, Kuwashima, Fumiyoshi
Format:	Online
Language:	English
Published:	Springer US 2014
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4295033/

id	pubmed-4295033
recordtype	oai_dc
spelling	pubmed-42950332015-01-22 Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables Kurihara, Kazuyoshi Otomo, Akira Yamamoto, Kazuhiro Takahara, Junichi Tani, Masahiko Kuwashima, Fumiyoshi Article This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic solutions for surface plasmon polaritons are examined by solving the wave equation for the magnetic field in parabolic cylindrical coordinates using quasi-separation of variables in combination with perturbation methods. The examination of the zeroth-order perturbation equations showed that solutions cannot exist for the parabolic metal wedge but can be obtained for the parabolic metal groove as standing wave solutions indicated by the even and odd symmetries. Springer US 2014-10-01 2015 /pmc/articles/PMC4295033/ /pubmed/25620897 http://dx.doi.org/10.1007/s11468-014-9791-3 Text en © The Author(s) 2014 Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Kurihara, Kazuyoshi Otomo, Akira Yamamoto, Kazuhiro Takahara, Junichi Tani, Masahiko Kuwashima, Fumiyoshi
spellingShingle	Kurihara, Kazuyoshi Otomo, Akira Yamamoto, Kazuhiro Takahara, Junichi Tani, Masahiko Kuwashima, Fumiyoshi Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
author_facet	Kurihara, Kazuyoshi Otomo, Akira Yamamoto, Kazuhiro Takahara, Junichi Tani, Masahiko Kuwashima, Fumiyoshi
author_sort	Kurihara, Kazuyoshi
title	Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
title_short	Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
title_full	Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
title_fullStr	Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
title_full_unstemmed	Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables
title_sort	identification of plasmonic modes in parabolic cylinder geometry by quasi-separation of variables
description	This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic solutions for surface plasmon polaritons are examined by solving the wave equation for the magnetic field in parabolic cylindrical coordinates using quasi-separation of variables in combination with perturbation methods. The examination of the zeroth-order perturbation equations showed that solutions cannot exist for the parabolic metal wedge but can be obtained for the parabolic metal groove as standing wave solutions indicated by the even and odd symmetries.
publisher	Springer US
publishDate	2014
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4295033/
_version_	1613176827649458176

Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables

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