The phase-shifting mask (PSM) extends the resolution limit of optical
lithography, The major hurdle to the widespread use of PSMs is that hi
gh resolution can be obtained only for the limited pattern layouts wit
h the PSMs. In this paper, we describe the double exposure method with
in a pair of 2 phase masks (''2 x 2 phase mask'') for arbitrary two-di
mensional pattern formation. Simple mask design procedures which are b
ased on a few rules are derived from the imaging characteristics of al
ternating PSMs. With a 2 x 2 phase mask, complicated patterns includin
g large scale integration (LSI) patterns are successfully fabricated.