Reciprocity Theorems for Electromagnetic One-Way Wave Fields in 2-D Inhomogeneous Media

Abstract

One-way wave equations play a fundamental role in the formulation of imaging schemes for reflection measurements, as in seismic exploration and ground-penetrating radar. In this paper we review the theory for electromagnetic one-way wave fields, including dissipation, and we derive reciprocity theorems for these one-way wave fields. First we consider the special situation of a 2-D medium in which the medium parameters vary only in the lateral direction. Next we generalize the theory for 2-D inhomogeneous media. For the latter situation we derive one-way reciprocity theorems of the convolution type and of the correlation type. These reciprocity theorems find their applications in forward and inverse problems, respectively.