The effect of random longitudinal motion of an image is discussed. Numerical results are given for
systems with circular and annular pupils. It is shown that, for a given value of the image motion, the time-averaged
Strehl ratio is larger for a larger value of the obscuration ratio of an annular pupil. We also show
that the time-averaged image irradiance distribution near its center and the corresponding encircled power
can be obtained from their aberration-free values by multiplying them by the Strehl ratio.
© 2007 Optical Society of America
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