A graph-theoretic approach for quantification of surface morphology variation and its application to chemical mechanical planarization process Academic Article uri icon


  • Copyright © "IIE" 2015. We present an algebraic graph-theoretic approach for quantification of surface morphology. Using this approach, heterogeneous, multi-scaled aspects of surfaces; e.g., semiconductor wafers, are tracked from optical micrographs as opposed to reticent profile mapping techniques. Therefore, this approach can facilitate in situ real-time assessment of surface quality. We report two complementary methods for realizing graph-theoretic representation and subsequent quantification of surface morphology variations from optical micrograph images. Experimental investigations with specular finished copper wafers (surface roughness (Sa) ∼ 6 nm) obtained using a semiconductor chemical mechanical planarization process suggest that the graph-based topological invariant Fiedler number (λ2) was able to quantify and track variations in surface morphology more effectively compared to other quantifiers reported in literature.

author list (cited authors)

  • Rao, P. K., Beyca, O. F., Kong, Z., Bukkapatnam, S., Case, K. E., & Komanduri, R.

citation count

  • 27

publication date

  • October 2015