End-to-end simulation of an AO loop in the presence of discontinuities. Discontinuities pass exactly between SH subapertures. The spider is infinitely thin, and there is no atmosphere. Top: static PP of a 32 nm ptv (weak-phase regime) on one quadrant. The ratio between the rms at convergence and the initial rms is 0.93. There are almost no signals in the residual SH slope map. Bottom: static PTT of an 80 nm ptv (weak-phase regime) on one quadrant. The ratio between the rms at convergence and the initial rms is 1.02. The red vortex in the residual slopes comes from the nonzero curl of the initial wavefront over a path circling around the central obscuration. The pink vortex in the residual slopes comes from the nonzero curl of the initial wavefront over a smaller path centered in (−2,0).