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In this letter, we have proposed an alternative and elegant way of deriving the matrix representation of the dyadic Green's operator for layered media in the electric field integral equation. The derivation is based on the pilot vector potential approach where two vector potentials in terms of TE and TM fields are derived. The derivation is more succinct and the resulting Sommerfeld integrals only involve zeroth order Bessel function. It is more suitable for moment method (MOM) implementation. A detailed form of the MOM matrix element is presented and comparison with MichalskiÂ¿Zheng formulation is given.