Modeling and Data Processing

  • Leiva Casemiro OliveiraEmail author
  • Antonio Marcus Nogueira Lima
  • Carsten Thirstrup
  • Helmut Franz Neff
Part of the Springer Series in Surface Sciences book series (SSSUR, volume 70)


The data extraction algorithms are discussed in this chapter.


  1. 1.
    Abelès, F.: Optical properties of very thin films. Thin Solid Films 34, 291 (1976)Google Scholar
  2. 2.
    Berini, P.: Long-range surface plasmon polaritons. Adv. Opt. Photonics 1, 484–588 (2009); and references cited thereinGoogle Scholar
  3. 3.
    Baffou, G.: Mie theory for metal nanoparticles.
  4. 4.
    Bohren, C.F., Huffman, D.R.: Absorption and Scattering of Light by Small Particles. Wiley, New York (1983)Google Scholar
  5. 5.
    Mie, G.: Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Annalen der Physik 330(3), 377 (1908)ADSCrossRefGoogle Scholar
  6. 6.
    Hergert, W., Wriedt, T. (eds.): The Mie Theory. Springer Series in Optical Sciences, vol. 169. Springer, Berlin (2012). Mie theory: a review by T. WriedtGoogle Scholar
  7. 7.
    Masumura, A., Daimon, M.: Measurement of the refractive index of distilled water from the near-infrared region to the ultraviolet region. Appl. Opt. 46, 18 (2007)CrossRefGoogle Scholar
  8. 8.
    Bass, M. (ed.): Handbook of Optics, Fundamentals, Techniques and Design, vol. 1, 2nd edn. McGraw-Hill, New York (1995); Scattering by particles by C. BohrenGoogle Scholar
  9. 9.
    Kerker, M.: The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York (1969)Google Scholar
  10. 10.
    Mayer, K.M., Hafner, J.H.: Localized surface plasmon resonance sensors. Chem. Rev. 111, 3828–3857 (2011)CrossRefGoogle Scholar
  11. 11.
  12. 12.
    Boecker, D., Zybin, A., Niemax, K., Grunwald, C., Mirsky, V.M.: Noise reduction by multiple referencing in surface plasmon resonance imaging. Rev. Sci. Instrum. 79, 023110-1 (2008)Google Scholar
  13. 13.
    Oliveira, L.C., Pereira, E.G., Oliveira, R.C., Morais, M.R.A., Lima, A.M.N., Neff, H.: SPR sensor for tampering detection in biofuels. In: I2MTC Proceedings, vol. 1, pp. 1471–1476 (2015)Google Scholar
  14. 14.
    Laborde, H.M., Lima, A.M.N., Loureiro, F.C.C.L., Thirstrup, C., Neff, H.: Adsorption, kinetics and biochemical interaction of biotin at the gold-water interface. Thin Solid Films 540, 221–226 (2013)ADSCrossRefGoogle Scholar
  15. 15.
    Chinowsky, T.M., Jung, L.S., Yee, S.S.: Optimal linear data analysis for surface plasmon resonance biosensors. Sens. Actuator B-Chem. 54, 89–97 (1999)CrossRefGoogle Scholar
  16. 16.
    Nenninger, G.G., Piliarik, M., Homola, J.: Data analysis for optical sensors based on spectroscopy of surface plasmons. Meas. Sci. Technol. 13, 2038–2046 (2002)ADSCrossRefGoogle Scholar
  17. 17.
    Thirstrup, C., Zong, W.: Data analysis for surface plasmon resonance sensors using dynamic baseline algorithm. Sens. Actuator B-Chem. 106, 796–802 (2005)CrossRefGoogle Scholar
  18. 18.
    Pereira, E.G., Oliveira, L.C., Morais, M.R.A., Lima, A.M.N., Neff, H.: Improved data extraction algorithm for biosensors utilizing surface plasmon resonance sensing. In: I2MTC Proceedings, vol. 1, pp. 1105–1110 (2014)Google Scholar
  19. 19.
    Kurihara, K., Nakamura, K., Suzuki, K.: Asymmetric SPR sensor response curve-fitting equation for the accurate determination of SPR resonance angle. Sens. Actuators B: Chem. 86, 49–57 (2002)CrossRefGoogle Scholar
  20. 20.
    Tobiška, P., Homola, J.: Advanced data processing for SPR biosensors. Sens. Actuators B 107, 162–169 (2005)CrossRefGoogle Scholar
  21. 21.
    Pereira, E.G.: Contribuições à Determinação da Condição Ressonante em Biosensores Ópticos Baseados na Ressonância de Plasmons de Superfíce [Contributions to Resonance Detection of Optical Biossensor Based on Surface Plasmon Resonance], Master thesis. Universidade Federal de Campina Grande (2015)Google Scholar
  22. 22.
    Marquardt, D.: An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11, 431–441 (1963)MathSciNetCrossRefGoogle Scholar
  23. 23.
    Rao, C., Toutenburg, H.: Linear Models: Least Squares and Alternatives. Springer Series in Statistics. Springer, Berlin (1999)Google Scholar
  24. 24.
    Nakanishi, K., Sakiyama, T., Imamura, K.: On the adsorption of proteins on solid surfaces, a common but very complicated phenomenon. J. Biosci. Bioeng. 91(3), 233–244 (2001)CrossRefGoogle Scholar
  25. 25.
    de Sousa, T.A.T., Oliveira, L.C., Neff, H., Laborde, H., Lima, A.M.N.: A numerical tool for estimating the dielectric constant, the thickness and the coverage of immobilized inhomogeneous protein films on gold in aqueous solution. Appl. Opt. 57, 6866–6875 (2018)ADSCrossRefGoogle Scholar
  26. 26.
    Rabe, M., Verdes, D., Seeger, S.: Understanding protein adsorption phenomena at solid surfaces. Adv. Colloid Interface Sci. 162, 87–106 (2011)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Leiva Casemiro Oliveira
    • 1
    Email author
  • Antonio Marcus Nogueira Lima
    • 2
  • Carsten Thirstrup
    • 3
  • Helmut Franz Neff
    • 2
  1. 1.Department of Computer Science (DC)Federal University of the Semi-Arid Region (UFERSA)MossoróBrazil
  2. 2.Department of Electrical Engineering (DEE)Federal University of Campina Grande (UFCG)Campina GrandeBrazil
  3. 3.Danish National Metrology InstituteKongens LyngbyDenmark

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