Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities

Elena D. Vinogradova

doi:10.1109/ICEAA.2018.8520384

Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities

Elena D. Vinogradova

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

2 Citations (Scopus)

Abstract

This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical "barrel") and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.

Original language	English
Title of host publication	Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	321-322
Number of pages	2
ISBN (Electronic)	9781538667620, 9781538667613
ISBN (Print)	9781538667637
DOIs	https://doi.org/10.1109/ICEAA.2018.8520384
Publication status	Published - 5 Nov 2018
Event	2018 International Conference on Electromagnetics in Advanced Applications - , Colombia Duration: 10 Sept 2018 → 14 Sept 2018 http://www.iceaa-offshore.org/j3/

Conference

Conference	2018 International Conference on Electromagnetics in Advanced Applications
Abbreviated title	ICEAA
Country/Territory	Colombia
Period	10/09/18 → 14/09/18
Internet address	http://www.iceaa-offshore.org/j3/

Keywords

axisymmetric oscillations
complex eigenvalues
open spherical shells
Method of Regularization

Access to Document

10.1109/ICEAA.2018.8520384

Cite this

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title = "Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities",

abstract = "This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical {"}barrel{"}) and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.",

keywords = "axisymmetric oscillations, complex eigenvalues, open spherical shells, Method of Regularization",

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year = "2018",

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doi = "10.1109/ICEAA.2018.8520384",

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booktitle = "Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)",

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note = "2018 International Conference on Electromagnetics in Advanced Applications, ICEAA ; Conference date: 10-09-2018 Through 14-09-2018",

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Vinogradova, ED 2018, Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities. in Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA) . Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 321-322, 2018 International Conference on Electromagnetics in Advanced Applications, Colombia, 10/09/18. https://doi.org/10.1109/ICEAA.2018.8520384

Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities. / Vinogradova, Elena D.
Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA) . Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 321-322.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities

AU - Vinogradova, Elena D.

PY - 2018/11/5

Y1 - 2018/11/5

N2 - This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical "barrel") and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.

AB - This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical "barrel") and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.

KW - axisymmetric oscillations

KW - complex eigenvalues

KW - open spherical shells

KW - Method of Regularization

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U2 - 10.1109/ICEAA.2018.8520384

DO - 10.1109/ICEAA.2018.8520384

M3 - Conference proceeding contribution

SN - 9781538667637

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EP - 322

BT - Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2018 International Conference on Electromagnetics in Advanced Applications

Y2 - 10 September 2018 through 14 September 2018

ER -

Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities

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