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A Simple and Direct Time Domain Derivation of the Dyadic Green's Function for a Uniformly Moving Non-Dispersive Dielectric-Magnetic Medium

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2 Author(s)
Danov, T. ; Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel ; Melamed, T.

The present contribution is concerned with deriving the relativistic electric and magnetic time-dependent dyadic Green's functions of an isotropic dielectric-magnetic medium (at the frame-at-rest) that is moving in a uniform relativistic velocity under the framework of the Minkowski constitutive relations. The results presented here correct previous reports in the literature [R. Compton, J. Math. Phys. 7, 2145 (1966)] and [C. Tai, J. Math. Phys. 8, 646 (1967)]. By applying a simple space-time and fields-sources transformation, scalarization of the vectorial problem is obtained. Thus the electromagnetic dyads are evaluated from the Green's function of the scalar (time-dependent) wave equation in free space. Emphasis is placed on a simple and direct time domain derivation.

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Antennas and Propagation, IEEE Transactions on  (Volume:60 ,  Issue: 5 )