Chemical-mechanical polishing (CMP) is an enabling technique used in deep-s
ubmicrometer VLSI manufacturing to achieve long range oxide planarization.
Post-CMP oxide topography is highly related to local pattern density in the
layout. To change local pattern density and, thus, ensure post-CMP planari
zation, dummy features are placed in the layout. Based on models that accur
ately describe the relation between local pattern density and post-CMP plan
arization by Stine et al, (1997), Ouma et at (1998), and Yu et at (1999), a
two-step procedure of global density assignment followed by local insertio
n is proposed to solve the dummy feature placement problem in the fixed-dis
section regime with both single-layer and multiple-layer considerations, Tw
o experiments conducted with real design layouts gave excellent results by
reducing simulated post-CMP topography variation from 767 Angstrom to 152 A
ngstrom in the single-layer formulation and by avoiding cumulative effect i
n the multiple-layer formulation. The simulation result from single-layer f
ormulation compares very favorably both to the rule-based approach widely u
sed in industry and to the algorithm by Kahng et at (1999), The multiple-la
yer formulation has no previously published work.