We introduce the so-called moment expansion of a defocused image as a
tool for analyzing and improving the depth of focus in optical imaging
. It is shown that a number of previously noted defocus phenomena can
be readily derived or explained in terms of moment expansion. Some pot
ential applications of the moment expansion to phase-shifting mask and
pupil filter design for optical lithography are also briefly noted. (
C) 1995 Optical Society of America