A simplified vector-potential derivation with a matrix basis shows equivalence to the TE/TM formulation for dyadic Green's functions in layered media and extends to elastic waves.
Multilayered media green’s functions in integral equation formulations.IEEE Transactions on Antennas and Propagation, 45(3):508–519
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On the computation of the dyadic Green's functions of Maxwell's equations in layered media
A simplified vector-potential derivation with a matrix basis shows equivalence to the TE/TM formulation for dyadic Green's functions in layered media and extends to elastic waves.