A deep learning-based approach to material removal rate prediction in polishing

Abstract Prediction of material removal rate (MRR) during chemical mechanical polishing is critical for product quality control. Complexity involved in polishing makes it challenging to accurately predict MRR based on physical models. A data-driven technique based on Deep Belief Network (DBN) is investigated to reveal the relationship between MRR and polishing operation parameters such as pressure and rotational speeds of the wafer and pad. The effect of network structure and learning rate on the accuracy of predicted MRR is studied using particle swarm optimization algorithm. With an optimized network structure, the performance of DBN is experimentally verified, under varying operation conditions.

[1]  Yeau-Ren Jeng,et al.  A Material Removal Rate Model Considering Interfacial Micro-Contact Wear Behavior for Chemical Mechanical Polishing , 2005 .

[2]  H. S. Lee,et al.  Chemical and mechanical balance in polishing of electronic materials for defect-free surfaces , 2009 .

[3]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[4]  F. W. Preston The Theory and Design of Plate Glass Polishing Machines , 1927 .

[5]  Fritz Klocke,et al.  Removal mechanisms in polishing of silicon based advanced ceramics , 2009 .

[6]  David Dornfeld,et al.  Material removal mechanism in chemical mechanical polishing: theory and modeling , 2001 .

[7]  Yasuhiro Takaya,et al.  Chemical mechanical polishing of patterned copper wafer surface using water-soluble fullerenol slurry , 2011 .

[8]  Fritz Klocke,et al.  Material Removal Mechanisms in Lapping and Polishing , 2003 .

[9]  Geoffrey E. Hinton,et al.  Reducing the Dimensionality of Data with Neural Networks , 2006, Science.

[10]  Geoffrey E. Hinton A Practical Guide to Training Restricted Boltzmann Machines , 2012, Neural Networks: Tricks of the Trade.

[11]  Brigid Mullany,et al.  The Effect of Pad Wear on the Chemical Mechanical Polishing of Silicon Wafers , 1999 .

[12]  Jacques Peters,et al.  Surface Interactions in Steel Polishing for the Precision Tool Making , 2006 .

[13]  W. Tseng,et al.  Re‐examination of Pressure and Speed Dependences of Removal Rate during Chemical‐Mechanical Polishing Processes , 1997 .