We use numerical calculations to examine the relation between adaptive
optics (AO) turbulence compensation and power coupled through a spect
rometer slit for both laser and natural guide-star AO systems. The AO
system and observing parameters used are relevant to the Gemini-North
8-m telescope. For this study, we separate residual tilt from residual
higher-order aberrations to isolate their relative effects under a va
riety of operating conditions. Our results demonstrate that slit-coupl
ed intensity is not uniquely determined by system Strehl alone; we sho
w that this is due to the differing effects of higher-order and tilt a
berrations on the shape of the compensated point-spread function. For
the Gemini spectrometer and AO system, the wider point-spread function
halo associated with an added residual higher-order aberration reduce
s slit-coupled intensity more rapidly than a broad point-spread functi
on core induced by residual tilt. (C) 1998 Optical Society of America.