Electromagnetic Marchenko equations for a dissipative heterogeneous medium

Abstract

We present a three-dimensional scheme that can be used to compute a vertical radar profile from reflection and transmission data measured at two parallel surfaces of a dissipative medium. From this double-sided data set the reflection response of a fictitious medium with negative dissipation can be computed. The measured reflection response and the computed reflection response in the medium with negative dissipative can be used to construct two focusing wavefields. One focuses at the chosen location in the subsurface of the actual dissipative medium and the other one focuses inside the medium with negative dissipation at the same location. This location is then the virtual receiver location for the vertical radar profile Green's function. Because the up- and downgoing parts of the Green's function are retrieved separately, these are very useful for imaging and inversion. We show with a numerical example that the method works well in a one-dimensional configuration.