Terrain-scattered interference (TSI), i.e. jammer signals reflected on the earth's surface, is a significant problem to military airborne radar. In auxiliary beam TSI suppression the TSI in the main radar beam is estimated by a single or several auxiliary beams and is subtracted from the main beam channel. The signal to subtract is the auxiliary beam signals fed through an estimate of the "reflection system", which describes the scattering on the surface.We first present results on the structure of this TSI suppression, on the estimation of the reflection system and on the quality of the estimate. We then derive theoretical expressions for the SINR (Signal to Interference plus Noise Ratio) and the remaining TSI power for a single auxiliary beam. Since the SINR is directly connected to the radar performance, we can see what factors affect the performance and how. We notice that when the estimated reflection system is missing one or more delays of the true system, the TSI filter cannot suppress the TSI signal completely. This phenomenon, which we call "TSI leakage", has a very large impact on the performance. The SINR cannot be kept constant. Instead, an "SINR improvement" can be defined.