Skip to main content
Log in

Contribution of spontaneous polarization and its fluctuations to refraction of light in ferroelectrics

  • Ferroelectricity
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The expressions for the spontaneous polar contribution δn s i to the principal values of the refractive index due to the quadratic electro-optic effect in ferroelectrics have been considered within the phenomenological approach taking into account the polarization fluctuations. A method has been proposed for calculating the magnitude and temperature dependence of the root-mean-square fluctuations of the polarization (short-range local polar order) P sh = 〈P 2fl 1/2 below the ferroelectric transition temperature T c from temperature changes in the spontaneous polar contribution δn s i (T) if the average spontaneous polarization P s = 〈P〉 characterizing the long-range order is determined from independent measurements (for example, from dielectric hysteresis loops). For the case of isotropic fluctuations, the proposed method has made it possible to calculate P sh and P s only from refractometric measurements. It has been shown that, upon interferometric measurements, the method developed in this work allows calculating P sh and P s directly from the measured temperature and electric-field changes in the relative optical path (the specific optical retardation) of the light.

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. P. A. Markovin and R. V. Pisarev, Sov. Phys. JETP 50 (6), 1190 (1979).

    ADS  Google Scholar 

  2. B. B. Krichevtsov, P. A. Markovin, S. V. Petrov, and R. V. Pisarev, Sov. Phys. JETP 59 (6), 1316 (1984).

    Google Scholar 

  3. R. V. Pisarev, B. B. Krichevtzov, P. A. Markovin, O. Yu. Korshunov, and J. F. Scott, Phys. Rev. B: Condens. Matter 28, 2677 (1983).

    Article  ADS  Google Scholar 

  4. P. A. Markovin, V. V. Lemanov, O. Yu. Korshunov, P. P. Syrnikov, U. Bianchi, R. Lindner, and W. Kleemann, Ferroelectrics 184, 269 (1996).

    Article  Google Scholar 

  5. P. A. Markovin, V. V. Lemanov, M. E. Guzhva, and W. Kleemann, Ferroelectrics 199, 121 (1997).

    Article  Google Scholar 

  6. P. A. Markovin, W. Kleemann, R. Lindner, V. V. Lemanov, O. Yu. Korshunov, and P. P. Syrnikov, J. Phys.: Condens. Metter. 8, 2377 (1996).

    ADS  Google Scholar 

  7. M. E. Guzhva, W. Kleemann, V. V. Lemanov, and P. A. Markovin, Phys. Solid State 39 (4), 618 (1997).

    Article  ADS  Google Scholar 

  8. P. A. Markovin, R. V. Pisarev, A. M. Kalashnikova, and Th. Rasing, JETP Lett. 86 (11), 712 (2007).

    Article  ADS  Google Scholar 

  9. J. Fousek and J. Petzelt, Phys. Status Solidi A 55, 11 (1979).

    Article  ADS  Google Scholar 

  10. G. A. Gehring, J. Phys. C: Solid State Phys. 10, 531 (1977).

    Article  ADS  Google Scholar 

  11. J. Ferre and G. A. Gehring, Rep. Prog. Phys. 47, 513 (1984).

    Article  ADS  Google Scholar 

  12. M. Di Domeniko and S. H. Wemple, J. Appl. Phys. 40, 720 (1969).

    Article  ADS  Google Scholar 

  13. S. H. Wemple and M. Di Domenico, in Applied Solid State Science, Ed. by R. Wolfe (Academic, New York, 1972), Vol. 3.

  14. A. S. Sonin and A. S. Vasilevskaya, Electro-Optical Crystals (Atomizdat, Moscow, 1971) [in Russian].

    Google Scholar 

  15. G. Burns and F. H. Dacol, Ferroelectrics 37, 661 (1981).

    Article  Google Scholar 

  16. W. Kleemann, F. J. Schafer, and M. D. Fontana, Phys. Rev. B: Condens. Matter 30, 1148 (1984).

    Article  ADS  Google Scholar 

  17. W. Kleemann, F. J. Schafer, and D. Rytz, Phys. Rev. B: Condens. Matter 34, 7873 (1986).

    Article  ADS  Google Scholar 

  18. R. V. Pisarev, P. A. Markovin, B. N. Shermatov, V. I. Voronkova, and V. K. Yanovskii, Ferroelectrics 96, 181 (1989).

    Article  Google Scholar 

  19. G. Burns and F. H. Dacol, Solid State Commun. 48, 853 (1983).

    Article  ADS  Google Scholar 

  20. O. Yu. Korshunov, P. A. Markovin, and R. V. Pisarev, Sov. Phys. Solid State 25 (7), 1228 (1983).

    Google Scholar 

  21. O. Yu. Korshunov, P. A. Markovin, and R. V. Pisarev, Ferroelectr. Lett. 13, 137 (1992).

    Article  Google Scholar 

  22. O. Yu. Korshunov, P. A. Markovin, R. V. Pisarev, and L. M. Sapoznikova, Ferroelectrics 90, 151 (1989).

    Article  Google Scholar 

  23. N. R. Ivanov, A. P. Levanyuk, S. A. Minyukov, J. Kroupa, and J. Fousek, J. Phys.: Condens. Matter 2, 5777 (1990).

    ADS  Google Scholar 

  24. S. V. Mel’nikova, L. I. Isaenko, A. A. Goloshumova, and S. I. Lobanov, Phys. Solid State 56 (4), 757 (2014).

    Article  ADS  Google Scholar 

  25. S. V. Mel’nikova and N. M. Laptash, Phys. Solid State 57 (6) 1201 (2015).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. A. Markovin.

Additional information

Original Russian Text © P.A. Markovin, V.A. Trepakov, A.K. Tagantsev, A. Deineka, D.A. Andreev, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 1, pp. 131–135.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Markovin, P.A., Trepakov, V.A., Tagantsev, A.K. et al. Contribution of spontaneous polarization and its fluctuations to refraction of light in ferroelectrics. Phys. Solid State 58, 134–139 (2016). https://doi.org/10.1134/S1063783416010200

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783416010200

Keywords

Navigation