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A Matrix Basis Formulation for the Dyadic Green’s Functions of Maxwell’s Equations in Layered Media
A matrix basis formulation is introduced to represent the 3×3 frequency domain dyadic Green’s functions of Maxwell’s equations in 3-dimensional layered media. The formulation can be used to decompose the Maxwell’s Green’s functions into independent TE and TM components, each satisfying a scalar Helmholtz equation. Moreover, the interface transmission conditions for the electromagnetic fields can be reduced to decoupled conditions for the matrix basis coefficients at interfaces. Numerical results for the electric and magnetic dyadic Green’s functions for a 10-layer medium show the capability of the proposed formulation.
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