Electromagnetic Marchenko scheme based internal multiple elimination for lossless media

Abstract

Iterative substitution of the Marchenko equation has been introduced recently to integrate internal multiple reflection in the seismic and electromagnetic imaging process. In the so-called Marchenko imaging, solving the Marchenko equation at each imaging point is required to meet this objective. It makes the scheme seriously expensive. Inspired by this limitation, we present an Electromagnetic Marchenko equation based one dimensional scheme to eliminate the internal multiples of the single-sided lossless surface ground penetrating radar data layer by layer, such that the conventional imaging schemes can be applied to get the internal multiple related artifacts free imaging result without the need of solving Marchenko equation at each imaging point. We show with an example that the method works well for a sample in a synthetic waveguide that could be used for measurements in laboratory and field.