  The WFIRST-AFTA 2.4 m telescope will provide in the next decade the
opportunity to host a coronagraph for the imaging and spectroscopy of planets
and disks. The telescope, however, is not ideal, given its obscured aperture.
Only recently have coronagraph designs been thoroughly investigated that can
efficiently work with this configuration. Three coronagraph designs, the hybrid
Lyot, the shaped pupil, and the phase-induced amplitude-apodization complex
mask coronagraph (PIAA-CMC) have been selected for further development by the
AFTA project. Real-world testbed demonstrations of these have just begun, so
for now the most reliable means of evaluating their potential performance comes
from numerical modeling incorporating diffraction propagation, realistic system
models, and simulated wavefront sensing and control. Here we present the
methods of performance evaluation and results for the current coronagraph
designs.
