Diagonalizability of thermo electromagnetic equations in inhomogeneous and fully tri-anisotropic media

Considering inhomogeneous and fully tri-anisotropic media the coupled system of thermo electromagnetic equations have been diagonalized (D-form). In addition a system of supplementary equations (S-form) has been constructed. The combined D- and S forms are sharply equivalent with the originating coupled thermal and electrodynamic equations. The D- and S forms provide a plethora of theoretical and computational advantages. The generality of the underlying assumptions renders this work by far the most comprehensive investigation of the coupled thermo electromagnetic equations.