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Abstract

Chemical-mechanical polishing (CMP) and other manufacturing steps in very deep submicron VLSI have varying effects on device and interconnect features, depending on local characteristics of the layout.

Key takeaways

  • Layout Density Control consists of two phases: density analysis and fill synthesis.
  • The Hierarchical Filling Problem: Solve the Filling Problem for a given standard-cell layout so that: ¢ filling geometries are added only to master cells; ¢ each cell of the filled layout is a filled version of the corresponding original master cell; and ¢ the increase in (hierarchical) layout data volume does not exceed a given threshold.
  • , which is the area available for filling inside the tile T i j computed during density analysis.
  • For these two approaches, once no layer is suitable for fill, the tile stack will be "locked" and will not be subsequently selected for any more filling.
  • On the other hand, the faster filling schedule, which fills a chosen tile with the maximum possible number of filling geometries, loses in terms of performance, e.g., in some cases the window density variation does not even change (see Table III).