Bistatic Radar Imaging of the Marine Environment - Part I: Theoretical Background

We describe in detail the theoretical and practical implementation aspects of a simulation for marine radars which can, in particular, be used in multistatic configurations. Since the simulator is intended to deliver pseudo-raw signals, it can be used later as a tool to benchmark and improve post-processing algorithms such as bistatic synthetic aperture radar focusing algorithms and ship wake detection algorithms. The work is divided into two parts. This paper reviews and recalls theoretical prerequisites necessary for implementing such a simulator. Included are the full derivation of the bistatic radar equation from the transmitter to the receiver, accounting also for the transmitreceive time, a description of the sea state phenomenology, a review of the theory of electromagnetic scattering from the sea surface and the presentation and validation of the method used in the simulation. A companion paper discusses the practical implementation aspects of the simulator as well as an analysis of our results.