Microlocal analysis of synthetic aperture radar imaging in the presence of a vertical wall

Abstract

We consider the problem of imaging a target located nearby a perfectly reflective vertical wall by making use of a SAR system in the case where a single pass is made over the scene of which we expect to be able to reconstruct a two-dimensional image. Many of the conventional methods make the assumption that the wave has scattered just once from the region to be imaged before returning to the sensor to be recorded. The purpose of this paper is to give a brief idea about how this restriction can be partially removed from a microlocal analysis point of view, in the case where the radar is operating with a poor directivity. The simple case where the antenna is flying perpendicularly to the wall is presented here, while a more in-depth study of this method will be analyzed elsewhere.