Skip to main content

Data Analysis

  • Chapter
  • First Online:

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 212))

Abstract

Data analysis is an important aspect of spectroscopic ellipsometry (SE). The measurement is directly related to the polarization change of probing light upon reflection from a sample surface. Data analysis enables determination of physical material properties of interest, such as film thickness, material dielectric functions, composition, crystallinity, conductivity, and more. This is achieved through model-based regression analysis. In this chapter, we detail the typical SE data analysis procedures. The fundamentals of optical modeling are outlined. Different ways to describe material dielectric functions are reviewed. Principles of fitting and evaluation of results are discussed. The chapter concludes with a review of strategies for common sample structures, categorized as transparent thin films, absorbing thin films, or films which are both transparent and absorbing, depending on the wavelength considered.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. P.Y. Yu, M. Cardona, Fundamentals of Semiconductors: Physics and Materials Properties (Springer, Berlin, 2001)

    Google Scholar 

  2. D.E. Aspnes, A.A. Studna, Phys. Rev. B 27, 985 (1983)

    Google Scholar 

  3. Y.S. Ihn, T.J. Kim, D.E. Aspnes, J. Kossut, Y.D. Kim, Appl. Phys. Lett. 84, 693 (2004)

    Google Scholar 

  4. R.A. Synowicki, Thin Solid Films 313–314, 394 (1998)

    Google Scholar 

  5. E.D. Palik (ed.), Handbook of Optical Constants of Solids I, II, III (Academic Press, San Diego, 1998)

    Google Scholar 

  6. S. Adachi, Optical Constants of Crystalline and Amorphous Semiconductors: Numerical Data and Graphical Information (Kluwer Academic Publishers, Boston, 1999)

    Google Scholar 

  7. S. Adachi, Optical Constants of Crystalline and Amorphous Semiconductors: Materials and Fundamental Principles (Kluwer Academic Publishers, Boston, 1999)

    Google Scholar 

  8. M. Losurdo, K. Hingerl (eds.), Ellipsometry at the Nanoscale (Springer, Berlin, 2013)

    Google Scholar 

  9. P.G. Snyder, J.A. Woollam, S.A. Alterovitz, B. Johs, J. Appl. Phys. 68, 5925 (1990)

    Google Scholar 

  10. E. Hecht, Optics, 4th edn. (Addison-Wesley, San Francisco, 2002)

    Google Scholar 

  11. R.C. Jones, J. Opt. Soc. Am. 31, 488 (1941)

    Google Scholar 

  12. R.M.A. Azzam, N.M. Bashara, Ellipsometry and Polarized Light (North Holland, Amsterdam, 1977)

    Google Scholar 

  13. H. Fujiwara, Spectroscopic Ellipsometry: Principles and Applications (Wiley, West Sussex, UK, 2007)

    Google Scholar 

  14. G.E. Jellison, Jr., Handbook of Ellipsometry, ed. by H.G. Tompkins, E.A. Irene (William Andrew, New York, 2005), pp. 241–245. Chap. “Data Analysis for Spectroscopic Ellipsometry”

    Google Scholar 

  15. J. Woollam, B. Johs, C. Herzinger, J. Hilfiker, R. Synowicki, C. Bungay, SPIE Proc. CR72, 10 (1999)

    Google Scholar 

  16. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988)

    Google Scholar 

  17. J.N. Hilfiker, N. Singh, T. Tiwald, D. Convey, S.M. Smith, J.H. Baker, H.G. Tompkins, Thin Solid Films 516, 7979–7989 (2008)

    Google Scholar 

  18. J.N. Hilfiker, R.A. Synowicki, H.G. Tompkins, SVC Proc. 511–516 (2008)

    Google Scholar 

  19. D.E. Aspnes, F. Hottier, J.B. Theeten, Phys. Rev. B 20, 3292 (1979)

    Google Scholar 

  20. M.F. Saenger, J. Sun, M. Schadel, J.N. Hilfiker, M. Schubert, J.A. Woollam, Thin Solid Films 518, 1830 (2010)

    Google Scholar 

  21. S.-H. Hsu, E.-S. Liu, Y.-C. Chang, J.N. Hilfiker, Y.D. Kim, T.J. Kim, C-J. Lin, G.-R. Lin, Phys. Status Solid A 205, 876 (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to James N. Hilfiker .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Hilfiker, J.N., Sun, J., Hong, N. (2018). Data Analysis. In: Fujiwara, H., Collins, R. (eds) Spectroscopic Ellipsometry for Photovoltaics. Springer Series in Optical Sciences, vol 212. Springer, Cham. https://doi.org/10.1007/978-3-319-75377-5_3

Download citation

Publish with us

Policies and ethics