Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform

David J. Bergman

doi:10.1117/12.2568520

Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform

David J. Bergman^*

^*Corresponding author for this work

School of Physics and Astronomy

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

Abstract

A theory is developed for calculating the electromagnetic (EM) eigenstates of Maxwell's equations for a two-constituent composite where the magnetic permeability as well as the electric permittivity have different uniform values in the two constituents. The physical electric field E(r) produced in the system by a given source current density is expanded in this set of bi- orthogonal eigenstates for any position r. Once all these eigenstates are known for a given host and a given microstructure then calculation of E(r) only involves performing three-dimensional integrals of known functions and solving sets of linear algebraic equations.

Original language	English
Title of host publication	Plasmonics
Subtitle of host publication	Design, Materials, Fabrication, Characterization, and Applications XVIII
Editors	Din Ping Tsai, Takuo Tanaka
Publisher	SPIE
ISBN (Electronic)	9781510637306
DOIs	https://doi.org/10.1117/12.2568520
State	Published - 2020
Event	Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII 2020 - Virtual, Online, United States Duration: 24 Aug 2020 → 4 Sep 2020

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11462
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII 2020
Country/Territory	United States
City	Virtual, Online
Period	24/08/20 → 4/09/20

Keywords

Maxwell's equations
composite materials
eigenstates
two constituents

Access to Document

10.1117/12.2568520

Cite this

Bergman, D. J. (2020). Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform. In D. P. Tsai, & T. Tanaka (Eds.), Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII Article 114620V (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11462). SPIE. https://doi.org/10.1117/12.2568520

Bergman, David J. / Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform. Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII. editor / Din Ping Tsai ; Takuo Tanaka. SPIE, 2020. (Proceedings of SPIE - The International Society for Optical Engineering).

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abstract = "A theory is developed for calculating the electromagnetic (EM) eigenstates of Maxwell's equations for a two-constituent composite where the magnetic permeability as well as the electric permittivity have different uniform values in the two constituents. The physical electric field E(r) produced in the system by a given source current density is expanded in this set of bi- orthogonal eigenstates for any position r. Once all these eigenstates are known for a given host and a given microstructure then calculation of E(r) only involves performing three-dimensional integrals of known functions and solving sets of linear algebraic equations.",

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Bergman, DJ 2020, Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform. in DP Tsai & T Tanaka (eds), Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII., 114620V, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11462, SPIE, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII 2020, Virtual, Online, United States, 24/08/20. https://doi.org/10.1117/12.2568520

Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform. / Bergman, David J.
Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII. ed. / Din Ping Tsai; Takuo Tanaka. SPIE, 2020. 114620V (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11462).

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

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Bergman DJ. Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform. In Tsai DP, Tanaka T, editors, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII. SPIE. 2020. 114620V. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2568520

Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform

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