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A matrix basis formulation is introduced to represent the 3 x 3 dyadicGreen's functions in the frequency domain for the Maxwell's equations and theelastic wave equation in layered media. The formulation can be used todecompose the Maxwell's Green's functions into independent TE and TMcomponents, each satisfying a Helmholtz equation, and decompose the elasticwave Green's function into the S-wave and the P-wave components. In addition, aderived vector basis formulation is applied to the case for acoustic wavesources from a non-viscous fluid layer.

A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media