Wafer Non-Uniformity Analysis during Chemical Mechanical Polishing Based on Finite Element Method
A contact-mechanics-based finite model for Cu/ low-k chemical mechanical polishing is presented. 2D axisymmetric quasi-static model for chemical mechanical polishing which includes four-layer structure: Si, low-k, Copper and polishing pad is established. The mechanical response at the interface between the silicon, low-k, copper, and pad is simulated under the loading of the chemical mechanical polishing. The effect of slurry is simplified as the friction force reacted onto both the copper and the polishing pad in the finite element model. Down pressure, status of slurry and the elastic modulus of polishing pad are treated as the parameter in the simulation. Using the model, the effects of applied down pressure, pad properties, status of slurry on the non-uniformity of the wafer surface can be readily evaluated. Simulation results show that the distribution of the Von Mises stresses across a wafer’s surface correlates with experimental removal rate profiles.
Guojun Zhang and Jessica Xu
S. W. Du et al., "Wafer Non-Uniformity Analysis during Chemical Mechanical Polishing Based on Finite Element Method", Advanced Materials Research, Vols. 160-162, pp. 1518-1523, 2011