20 August 2020Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform
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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.
David J. Bergman
"Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform", Proc. SPIE 11462, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII, 114620V (20 August 2020); https://doi.org/10.1117/12.2568520
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David J. Bergman, "Scattering electromagnetic eigenstates of a two-constituent composite where both the electric permittivity and the magnetic permeability are nonuniform," Proc. SPIE 11462, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XVIII, 114620V (20 August 2020); https://doi.org/10.1117/12.2568520