Skip to main content
Log in

Nonlinear magneto-optical Kerr effects

  • Solids: Structure
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The polarization state of a second-harmonic wave after reflection from a semi-infinite, optically isotropic magnetic medium is considered for the three characteristic uniformmagnetization directions corresponding to the linear magneto-optical Kerr effects. Expressions for the complex amplitudes of the wave field which specify the nonlinear Kerr effects, viz., the polar, meridional, and equatorial effects, are obtained in a first approximation with respect to the magnetization. The dependences of these effects on the angle of incidence of the inducing wave obtained as a result of a numerical experiment are presented. Analytical formulas are found for them at small angles of incidence. A comparative analysis of the linear and nonlinear Kerr effects is made.

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. Ru-Pin Pan, H. D. Wei, and Y. R. Shen, Phys. Rev. B 39, 1229 (1989).

    Article  ADS  Google Scholar 

  2. J. Reif, J. C. Zink, C. M. Schneider, and J. Kirschner, Phys. Rev. Lett. 67, 2878 (1991).

    Article  ADS  Google Scholar 

  3. G. Spierings, V. Koutsos, H. A. Wierenga, M. W. J. Prins, D. Abraham, and T. Rasing, Surf. Sci. 287, 747 (1993).

    Article  Google Scholar 

  4. U. Pustogowa, W. Hübner, and K. H. Bennemann, Phys. Rev. B 49, 10 031 (1994).

    Google Scholar 

  5. H. A. Wierenga, W. de Jong, M. W. J. Prins, T. Rasing, R. Vollmer, A. Kirilyuk, H. Schwabe, and J. Kirschner, Phys. Rev. Lett. 74, 1462 (1995).

    Article  ADS  Google Scholar 

  6. B. Koopmans, M. Groot Koerkamp, T. Rasing, and H. van den Berg, Phys. Rev. Lett. 74, 3692 (1995).

    Article  ADS  Google Scholar 

  7. R. Vollmer, A. Kirilyuk, H. Schwabe, J. Kirschner, H. A. Wierenga, W. de Jong, and T. Rasing, J. Magn. Magn. Mater. 148, 295 (1995).

    Article  Google Scholar 

  8. G. Spierings, V. Koutsos, H. A. Wierenga, M. W. J. Prins, D. Abraham, and T. Rasing, J. Magn. Magn. Mater. 121, 109 (1993).

    Article  ADS  Google Scholar 

  9. H. A. Wierenga, M. W. J. Prins, and T. Rasing, Physica B 204, 281 (1995).

    Article  ADS  Google Scholar 

  10. T. M. Crawford, C. T. Rogers, T. J. Silva, and Y. K. Kim, J. Appl. Phys. 81, 4354 (1997).

    Article  ADS  Google Scholar 

  11. T. M. Crawford, C. T. Rogers, T. J. Silva, and Y. K. Kim, IEEE Trans. Magn. MAG-38, 3598 (1997).

    Google Scholar 

  12. H. A. Wierenga, W. de Jong, M. W. J. Prins, T. Rasing, R. Vollmer, A. Kirilyuk, H. Schwabe, and J. Kirschner, Phys. Rev. Lett. 74, 1462 (1995).

    Article  ADS  Google Scholar 

  13. T. A. Luce, W. Hübner, and K. H. Bennemann, Phys. Rev. Lett. 77, 2810 (1996).

    Article  ADS  Google Scholar 

  14. A. Kirilyuk, T. Rasing, R. Megy, and P. Beauvillain, Phys. Rev. Lett. 77, 4608 (1996).

    Article  ADS  Google Scholar 

  15. N. N. Akhmediev and A. K. Zvezdin, JETP Lett. 38, 196 (1983).

    ADS  Google Scholar 

  16. N. N. Akhmediev, S. B. Borisov, A. K. Zvezdin, I. L. Lyubchanskii, and Yu. V. Melikhov, Fiz. Tverd. Tela (Leningrad) 27, 1075 (1985) [Sov. Phys. Solid State 27, 650 (1985)].

    Google Scholar 

  17. A. M. Agal’tsov, V. S. Gorelik, A. K. Zvezdin, V. A. Murashov, and D. N. Rakov, Kratk. Soobshch. Fiz. 5, 37 (1989).

    Google Scholar 

  18. M. Fiebig, D. Fröhlich, B. B. Krichevtsov, and R. V. Pisarev, Phys. Rev. Lett. 73, 2127 (1994).

    Article  ADS  Google Scholar 

  19. A. Aktsipetrov, O. V. Braginskaya, and D. A. Esikov, Kvantovaya Élektron. 17, 359 (1990) [Sov. J. Quantum Electron. 20, 296 (1990)].

    Google Scholar 

  20. R. V. Pisarev, B. B. Krichevtsov, V. N. Gridnev, V. P. Klin, D. Fröhlich, and C. Pahlke-Lerch, J. Phys. C 5, 8621 (1993).

    Google Scholar 

  21. G. Petrocelli, S. Martelucci, and M. Richetta, Appl. Phys. Lett. 71, 1931 (1993).

    Google Scholar 

  22. V. V. Pavlov, R. V. Pisarev, A. Kirilyuk, and T. Rasing, Phys. Rev. Lett. 78, 2004 (1997).

    Article  ADS  Google Scholar 

  23. J. Reif, C. Rau, and E. Matthias, Phys. Rev. Lett. 71, 1931 (1993).

    Article  ADS  Google Scholar 

  24. A. K. Zvezdin, Physica A 241, 444 (1997).

    Article  ADS  Google Scholar 

  25. A. K. Zvezdin and V. A. Kotov, Modern Magneto-Optics and Magneto-Optical Materials, Institute of Physics, Bristol, England (1997).

  26. P. S. Pershan, Phys. Rev. 130, 919 (1963).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  27. S. Kielich and R. Zavodny, Opt. Acta 20, 867 (1973).

    Google Scholar 

  28. E. B. Graham and R. E. Raab, Philos. Mag. B 66, 269 (1992).

    Google Scholar 

  29. S. S. Girgel’ and T. V. Demidova, Opt. Spektrosk. 62, 63 (1987) [sic].

    ADS  Google Scholar 

  30. Y. R. Shen, The Principles of Nonlinear Optics, Wiley, New York (1984) [Russ. transl., Nauka, Moscow (1989)].

    Google Scholar 

  31. W. Hübner and K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).

    Article  ADS  Google Scholar 

  32. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light, North-Holland, Amsterdam (1977).

    Google Scholar 

  33. B. Jérôme and Y. R. Shen, Phys. Rev. E 48, 4556 (1993).

    Article  ADS  Google Scholar 

  34. U. Pustogowa, W. Hübner, and K. H. Bennemann, Phys. Rev. B 48, 8607 (1993).

    Article  ADS  Google Scholar 

  35. U. Pustogowa, W. Hubner, and K. H. Bennemann, Surf. Sci. 307–309, 1129 (1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 116, 141–156 (July 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zvezdin, A.K., Kubrakov, N.F. Nonlinear magneto-optical Kerr effects. J. Exp. Theor. Phys. 89, 77–85 (1999). https://doi.org/10.1134/1.558957

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558957

Keywords

Navigation