Skip to main content
Log in

Use of the tikhonov regularization method in automated mathematical analysis of dielectric spectrometry data

  • Physics of Semiconductors and Dielectrics
  • Published:
Soviet Physics Journal Aims and scope

Abstract

Extensive information has now been accumulated on dielectric relaxation processes and their relationships to the structure of complex polar molecules. At the same time, however, the number of experimental methods for rapid determination of the range of relaxation times is fairly small. The purpose of this work is to determine the possibilities for experimental evaluation of the type of distribution function of the dielectric relaxation times and to work out an algorithm for computing it under the conditions of an automated experiment.

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

Literature cited

  1. B. I. Sazhin (ed.), Electrical Properties of Polymers [in Russian], Khimiya, Moscow (1977).

    Google Scholar 

  2. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of III-Posed Problems [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  3. A. F. Berlan' and V. S. Sizikov, Integral Equations: Methods, Algorithms, Programs [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  4. A. V. Goncharskii, A. M. Cherepashchuk, and A. G. Yagola, III-Posed Problems in Astrophysics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  5. V. N. Vapnik (ed.), Algorithms and Programs for Reconstruction of Relations [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  6. S. M. Usmanov, A. A. Berlin, V. V. Kochervinskii, et al., Dokl. Akad. Nauk SSR, Ser. Fiz. Khim.,230, No. 6, 1391–1394 (1976).

    Google Scholar 

  7. S. M. Usmanov, Yu. M. Sivergin, and Yu. V. Zelenev, Zh. Fiz. Khim.,59, No. 3, 717–721 (1985).

    Google Scholar 

  8. S. M. Usmanov, R. G. Islamov, and Yu. M. Sivergin, All-Union Conference on the Physics of Dielectrics: Abstracts [in Russian], Tomsk Pedagogical Institute, Tomsk (1988), pp. 144–145.

    Google Scholar 

  9. S. M. Usmanov, Birsk Pedagogical Institute, Birsk (1989), Deposited at VINITI [All-Union Institute for Scientific and Technical Information of the USSR State Committee for Science and Technology of the Council of Ministers of the USSR and the Academy of Sciences of the USSR] on June 17, 1989, No. 4732-V89.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 102–108, October, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Usmanov, S.M. Use of the tikhonov regularization method in automated mathematical analysis of dielectric spectrometry data. Soviet Physics Journal 34, 931–936 (1991). https://doi.org/10.1007/BF00898595

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00898595

Keywords

Navigation