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- W2899750025 abstract "Field responses to Dirac delta function sources are referred to as the Green’s functions (GFs) associated with a given boundary value problem. Scalar (monadic) and dyadic GFs characterizing, respectively, isotropic/anisotropic, and bi-anisotropic media are pervasive in computational engineering. This paper considers comprehensively the coupling between electromagnetic- and thermo-elastic fields in fully tetra-anisotropic and inhomogeneous media and inaugurates the notions of triadic and tetradic GFs and their spatial derivatives in 3-D. To this end, the governing $left( mathcal{G} right)$ and constitutive $left( mathcal{C} right)$ equations, describing tetradic coupled fields, are judiciously partitioned into the diagonalized $left( mathcal{D} right)$ and the corresponding supplementary $left( mathcal{S} right)$ equations. The resulting $mathcal{D}$– and $mathcal{S}$ systems, being consistent and sharply complementary, are equivalent with the originating combined $left( {mathcal{G},mathcal{C}} right)$ equations. The $mathcal{D}$– and $mathcal{S}$ equations transformed into spectral domain enable the calculation of the tetradic GFs and their spatial derivatives with a unifying stroke. A glimpse at future work includes the applicability of Per-Olov Loewdin’s partitioning technique to the $mathcal{D}$–form to generate perturbation expressions for n-adic GFs at any arbitrary point in spectral domain." @default.
- W2899750025 created "2018-11-16" @default.
- W2899750025 creator A5083115376 @default.
- W2899750025 date "2018-09-01" @default.
- W2899750025 modified "2023-10-14" @default.
- W2899750025 title "The Path from Monadic to Tetradic Green’s Functions" @default.
- W2899750025 cites W1895576849 @default.
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- W2899750025 doi "https://doi.org/10.1109/iceaa.2018.8520504" @default.
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