Coupled Marchenko equations for electromagnetic Green’s function retrieval and imaging

Recently a new theory has been developed to retrieve a wavefield generated by a source on the surface and recorded at a point in the subsurface without the need for a receiver at that subsurface location. The scheme is presented for threedimensional wavefields. It decomposes the electromagnetic field in upand downgoing electric fields and in TEand TMmodes. Each mode can be treated separately to construct the Green’s function. We derive two coupled Marchenko equations from which the upand downgoing Green’s functions can be obtained. These two directional Green’s functions have applications in true-amplitude subsurface imaging without effects from internal multiple reflections.