Conference proceedings paper

3D Diagonalization and Supplementation of Maxwell's Magneto-Static Field Equations in Fully Anisotropic and Inhomogeneous Media - Part I: Proof of Existence by Construction


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Publication Details

Author list: Baghai-Wadji A

Publisher: IEEE

Place: Miami, Florida USA

Publication year: 2019

Start page: 1

End page: 2

Total number of pages: 2

ISBN: 978-0-9960078-8-7


Abstract

Consider the Maxwell’s magneto-static equations rH = J and rB = 0 in fully anisotropic and inhomogeneous media characterized by the 3 x 3 positive-definite permeability matrix 33 (x; y; z).
This paper establishes - for the first time - that the aforementioned system of the governing and constitutive
equations can be diagonalized with respect to the arbitrarily chosen z􀀀axis leading to the Dc􀀀 and the
associated supplementary Sc􀀀forms. The existence of the (Dc; Sc)􀀀forms is demonstrated by construction.
The accompanying paper (Part II) proves the internal consistency of the (Dc; Sc)􀀀forms rigorously by showing the sharp equivalence of the (Dc; Sc)􀀀forms with the originating Maxwell’s and constitutive equations.


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Last updated on 2020-23-06 at 11:03