Skip to main content

Data Processing Methods for Imaging Spectrophotometry

  • Chapter
  • First Online:
  • 1649 Accesses

Part of the book series: Springer Series in Surface Sciences ((SSSUR,volume 64))

Abstract

Data processing approaches and algorithms for imaging optical techniques are discussed, with focus on imaging spectrophotometry in the visible and ultraviolet regions. Since the techniques often produce large quantities of data, efficient data fitting methods must be developed. This is covered from the high-level view of attacking the huge least squares problem and splitting it in different ways in order to extract useful information, as well as construction of effective models for individual phenomena and types of samples. Efficient computation of optical quantities is discussed for ideal, non-uniform and rough films together with modelling of optical constants and spectral or angular averaging.

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   149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   199.99
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. M. Ohlídal, I. Ohlídal, D. Franta, T. Králík, M. Jákl, M. Eliáš, Surf. Interface Anal. 34(1), 660 (2002)

    Article  Google Scholar 

  2. J. Spousta, M. Urbánek, R. Chmelík, J. Jiruše, J. Zlámal, K. Navrátil, A. Nebojsa, T. Šikola, Surf. Interface Anal. 33, 664 (2002)

    Article  Google Scholar 

  3. M. Ohlídal, I. Ohlídal, P. Klapetek, M. Jákl, V. Čudek, M. Eliáš, Jap. J. Appl. Phys. 42, 4760 (2003)

    Article  ADS  Google Scholar 

  4. M. Urbánek, J. Spousta, T. Běhounek, T. Šikola, Appl. Opt. 46(25), 6309 (2007)

    Article  ADS  Google Scholar 

  5. M. Ohlídal, I. Ohlídal, P. Klapetek, D. Nečas, V. Buršíková, Diam. Relat. Mater. 18, 384 (2009)

    Article  ADS  Google Scholar 

  6. M. Ohlídal, I. Ohlídal, P. Klapetek, D. Nečas, A. Majumdar, Meas. Sci. Technol. 22, 085104 (2011)

    Article  ADS  Google Scholar 

  7. D. Nečas, I. Ohlídal, D. Franta, J. Opt. 13, 085705 (2011)

    Article  ADS  Google Scholar 

  8. K. Kim, S. Kim, S. Kwon, H.J. Pahk, Int. J. Precis. Eng. Man. 15(9), 1817 (2014)

    Article  Google Scholar 

  9. D. Nečas, V. Čudek, J. Vodák, M. Ohlídal, P. Klapetek, J. Benedikt, K. Rügner, L. Zajíčková, Meas. Sci. Technol. 25(11), 115201 (2014)

    Article  ADS  Google Scholar 

  10. Z. Benzarti, M. Khelifi, I. Halidou, B.E. Jani, J. Electron. Mater. 44(10), 3243 (2015)

    Article  ADS  Google Scholar 

  11. D. Nečas, I. Ohlídal, D. Franta, M. Ohlídal, J. Vodák, J. Opt. 18, 015401 (2016)

    Article  ADS  Google Scholar 

  12. J. Vodák, D. Nečas, D. Pavliňák, J.M. Macák, T. Řičica, R. Jambor, M. Ohlídal, Appl. Surf. Sci. 396, 284 (2017)

    Article  ADS  Google Scholar 

  13. L. Zajíčková, P. Jelínek, A. Obrusník, J. Vodák, D. Nečas, Plasma Phys. Contr. F. 59(3), 034003 (2017)

    Article  ADS  Google Scholar 

  14. K. Levenberg, Quart. Appl. Math. 2(2), 164 (1944)

    Article  MathSciNet  Google Scholar 

  15. D.W. Marquardt, SIAM, J. Appl. Math. 11(2), 431 (1963)

    Article  Google Scholar 

  16. J.J. More, in Lecture Notes in Mathematics, vol. 630, ed. by G.A. Watson (Springer, New York, 1978), pp. 106–116

    Google Scholar 

  17. R. Hartley, A. Zisserman, Multiple View Geometry in Computer Vision, 2nd edn. (Cambridge University Press, Cambdridge, 2000)

    MATH  Google Scholar 

  18. R.J. Hanson, F.T. Krogh, ACM T. Math. Softw. 18(2), 115 (1992)

    Article  Google Scholar 

  19. N. Bornemann, E. Dörsam, Opt. Express 21(19), 21897 (2013)

    Article  ADS  Google Scholar 

  20. H.B. Nielsen, Damping parameter in Marquardt’s method. Technical Report IMM-REP-1999-05, IMM Department of Mathematical Modeling, Technical University of Denmark (1999)

    Google Scholar 

  21. L. Asinovski, D. Beaglehole, M.T. Clarkson, Phys. Status Solidi A 205(4), 764 (2008)

    Article  ADS  Google Scholar 

  22. B. Forster, D. van de Ville, J. Berent, D. Sage, M. Unser, Microsc. Res. Techniq. 65(1–2), 33 (2004)

    Article  Google Scholar 

  23. T. Scheimpflug, Improved method and apparatus for the systematic alteration or distortion of plane pictures and images by means of lenses and mirrors for photography and for other purposes (1904). GB Patent No. 1196

    Google Scholar 

  24. M. Galassi et al., Gnu scientific library reference manual (3rd ed.), http://www.gnu.org/software/gsl/

  25. D. Nečas, J. Vodák, I. Ohlídal, M. Ohlídal, A. Majumdard, L. Zajíčková, Appl. Surf. Sci. 350, 149 (2015)

    Article  Google Scholar 

  26. J. Cao, K.A. Novstrup, A. Goyal, S.P. Midkiff, J.M. Caruthers, in ICS’09 Proceedings of the 23rd international conference on Supercomputing (2009), pp. 450–459

    Google Scholar 

  27. D. Nečas, I. Ohlídal, D. Franta, V. Čudek, M. Ohlídal, J. Vodák, L. Sládková, L. Zajíčková, M. Eliáš, F. Vižd’a, Thin Solid Films 571, 573 (2014)

    Article  ADS  Google Scholar 

  28. D. Franta, D. Nečas, L. Zajíčková, Opt. Express 15, 16230 (2007)

    Article  ADS  Google Scholar 

  29. D. Franta, D. Nečas, I. Ohlídal, Appl. Opt. 54, 9108 (2015)

    Article  ADS  Google Scholar 

  30. G.E. Jellison, F.A. Modine, Appl. Phys. Lett. 69, 371 (1996)

    Article  ADS  Google Scholar 

  31. M. Ohlídal, I. Ohlídal, P. Klapetek, M. Jákl, V. Čudek, M. Eliáš, Jpn. J. Appl. Phys. 42, 4760 (2003)

    Article  ADS  Google Scholar 

  32. D. Nečas, I. Ohlídal, D. Franta, J. Opt. A-Pure Appl. Opt. 11, 045202 (2009)

    Article  Google Scholar 

  33. D. Zwilinger, Handbook of Integration (Jones and Bartlett Publishers, London, 1992)

    Google Scholar 

  34. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (National Bureau of Standards, Washington, 1964)

    MATH  Google Scholar 

  35. J. Szczyrbowski, J. Phys. D Appl. Phys. 11, 583 (1978)

    Article  ADS  Google Scholar 

  36. E. Márquez, J.M. González-Leal, R. Jiménez-Garay, S.R. Lukic, D.M. Petrovic, J. Phys. D Appl. Phys. 30, 690 (1997)

    Article  ADS  Google Scholar 

  37. R.A. Maronna, D.R. Martin, V.J. Yohai, Robust Statistics: Theory and Methods. Wiley Series in Probability and Statistics (Wiley, New York, 2006)

    Google Scholar 

  38. J. Vodák, D. Nečas, M. Ohlídal, I. Ohlídal, Meas. Sci. Technol. 28, 025205 (2017)

    Article  ADS  Google Scholar 

  39. V.A. Kotenev, D.N. Tyurin, A.Y. Tsivadze, Inorg. Mater+ 45(14), 1622 (2009)

    Google Scholar 

  40. R.N. Bracewell, The Fourier Transform & Its Applications (McGraw-Hill, Singapore, 1999)

    MATH  Google Scholar 

  41. W.A. Pliskin, R.P. Esch, J. Appl. Phys. 39, 3274 (1968)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. H.E. Bennett, J. Opt. Soc. Am. 53, 1389 (1963)

    Article  ADS  Google Scholar 

  44. I. Ohlídal, K. Navrátil, F. Lukeš, J. Opt. Soc. Am. 61, 1630 (1971)

    Article  ADS  Google Scholar 

  45. C.K. Carniglia, Opt. Eng. 18, 104 (1979)

    Article  ADS  Google Scholar 

  46. D. Nečas, I. Ohlídal, Opt. Express 22, 4499 (2014)

    Article  ADS  Google Scholar 

  47. J.W.S. Rayleigh, Theory of Sound, vol. 2 (Macmillan and co., London, 1877)

    MATH  Google Scholar 

  48. S.O. Rice, Commun. Pure Appl. Math. 4, 351 (1951)

    Article  Google Scholar 

  49. D. Franta, I. Ohlídal, J. Mod. Opt. 45, 903 (1998)

    Article  ADS  Google Scholar 

  50. D. Franta, I. Ohlídal, Opt. Commun. 248, 459 (2005)

    Article  ADS  Google Scholar 

  51. D. Nečas, I. Ohlídal, D. Franta, M. Ohlídal, V. Čudek, J. Vodák, Appl. Opt. 53, 5606 (2014)

    Article  ADS  Google Scholar 

  52. I. Ohlídal, K. Navrátil, F. Lukeš, Opt. Commun. 3, 40 (1971)

    Article  ADS  Google Scholar 

  53. D. Franta, D. Nečas, newAD2, http://newad.physics.muni.cz/

  54. A. Kuzmenko, RefFIT, https://sites.google.com/site/reffitprogram/home

  55. M.I. Lourakis, in European Conference on Computer Vision, vol. 2 (2010), pp. 43–56

    Google Scholar 

  56. D. Nečas, P. Klapetek, Cent. Eur. J. Phys. 10(1), 181 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David Nečas .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Nečas, D. (2018). Data Processing Methods for Imaging Spectrophotometry. In: Stenzel, O., Ohlídal, M. (eds) Optical Characterization of Thin Solid Films. Springer Series in Surface Sciences, vol 64. Springer, Cham. https://doi.org/10.1007/978-3-319-75325-6_6

Download citation

Publish with us

Policies and ethics