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2018•2018 International Applied Computational Electromagnetics Society Symposium (ACES)Requires access

Necessary conditions for the diagonalizability of Maxwell's equations in inhomogeneous and fully bi-anisotropic media

Alireza Baghai‐Wadji

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Abstract

Considering inhomogeneous and fully bi-anisotropic media necessary conditions have been identified for the diagonalizability of Maxwell's electrodynamic equations. The same conditions also permit the construction of a system of equations supplementing the diagonalized (D) equations. The combined D- and the associated supplementary (S) equations are sharply equivalent with the originating Maxwell's equations, a fact which ascertains the internal consistency of the derived D- and S forms.

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Considering inhomogeneous and fully bi-anisotropic media necessary conditions have been identified for the diagonalizability of Maxwell's electrodynamic equations. The same conditions also permit the construction of a system of equations supplementing the diagonalized (D) equations. The combined D- and the associated supplementary (S) equations are sharply equivalent with the originating Maxwell's equations, a fact which ascertains the internal consistency of the derived D- and S forms.

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Available abstract

Considering inhomogeneous and fully bi-anisotropic media necessary conditions have been identified for the diagonalizability of Maxwell's electrodynamic equations. The same conditions also permit the construction of a system of equations supplementing the diagonalized (D) equations. The combined D- and the associated supplementary (S) equations are sharply equivalent with the originating Maxwell's equations, a fact which ascertains the internal consistency of the derived D- and S forms.

Key concepts: Maxwell's equations, Matrix representation of Maxwell's equations, Anisotropy, Maxwell relations, Inhomogeneous electromagnetic wave equation, Consistency (knowledge bases), Scattering-matrix method, Independent equation

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