Skip to main content
Log in

Generalized numerical differentiation in the turbidity spectrum method

  • Physical and Quantum Optics
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

The validity of the choice of the geometric mean wavelength in the differential version of the turbidity spectrum method is analyzed by numerical simulation. It is found that this choice can introduce errors, as large as 5–35%, in the estimated values of parameters of a colloid system. It is proposed to construct the calibrations n=n(α, m) by using the realistic (instrument-dependent) differentiation method, generalized in a way that provides for the monotonic nature of the calibrations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • 1. V. I. Klenin, S. Yu. Shchegolev, and V. I. Lavrushin, Characteristic Functions of Light Scattering by Dispersive Media (Saratovskiï Gos. Univ., Saratov, 1977).

  • 2. V. I. Klenin, Thermodynamics of Systems Containing Flexible Chain Polymers (Saratovskiï Gos. Univ., Saratov, 1995; Elsevier, Amsterdam, 1999).

  • 3. S. Yu. Shchegolev and V. I. Klenin, Opt. Spektrosk. 31, 794 (1971).

    Google Scholar 

  • 4. V. P. D’yakonov, A Handbook of Microcalculator Computations (Nauka, Moscow, 1989, 3rd ed., pp. 303-304).

  • 5. G. Mie, Ann. Phys. (Leipzig) 25, 377 (1908).

    Google Scholar 

  • 6. V. I. Klenin, Practical Work on Colloid Chemistry (Sol’, Moscow, 1996, 2nd ed.).

  • 7. S. Yu. Shchegolev, Author’s Abstracts of Candidate’s Dissertation (Leningrad, 1983).

  • 8. A. A. Samarskiï and A. V. Gulin, Numerical Methods (Nauka, Moscow, 1989), p. 16.

  • 9. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

  • 10. B. D. Bunday, Basic Optimisation Methods (Edward Arnold, London, 1984; Radio i Svyaz’, Moscow, 1988).

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Optika i Spektroskopiya, Vol. 91, No. 2, 2001, pp. 307–312.

Original Russian Text Copyright © 2001 by Shmakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shmakov, S.L. Generalized numerical differentiation in the turbidity spectrum method. Opt. Spectrosc. 91, 283–287 (2001). https://doi.org/10.1134/1.1397912

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1397912

Keywords

Navigation