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.
Similar content being viewed by others
References
Ru-Pin Pan, H. D. Wei, and Y. R. Shen, Phys. Rev. B 39, 1229 (1989).
J. Reif, J. C. Zink, C. M. Schneider, and J. Kirschner, Phys. Rev. Lett. 67, 2878 (1991).
G. Spierings, V. Koutsos, H. A. Wierenga, M. W. J. Prins, D. Abraham, and T. Rasing, Surf. Sci. 287, 747 (1993).
U. Pustogowa, W. Hübner, and K. H. Bennemann, Phys. Rev. B 49, 10 031 (1994).
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).
B. Koopmans, M. Groot Koerkamp, T. Rasing, and H. van den Berg, Phys. Rev. Lett. 74, 3692 (1995).
R. Vollmer, A. Kirilyuk, H. Schwabe, J. Kirschner, H. A. Wierenga, W. de Jong, and T. Rasing, J. Magn. Magn. Mater. 148, 295 (1995).
G. Spierings, V. Koutsos, H. A. Wierenga, M. W. J. Prins, D. Abraham, and T. Rasing, J. Magn. Magn. Mater. 121, 109 (1993).
H. A. Wierenga, M. W. J. Prins, and T. Rasing, Physica B 204, 281 (1995).
T. M. Crawford, C. T. Rogers, T. J. Silva, and Y. K. Kim, J. Appl. Phys. 81, 4354 (1997).
T. M. Crawford, C. T. Rogers, T. J. Silva, and Y. K. Kim, IEEE Trans. Magn. MAG-38, 3598 (1997).
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).
T. A. Luce, W. Hübner, and K. H. Bennemann, Phys. Rev. Lett. 77, 2810 (1996).
A. Kirilyuk, T. Rasing, R. Megy, and P. Beauvillain, Phys. Rev. Lett. 77, 4608 (1996).
N. N. Akhmediev and A. K. Zvezdin, JETP Lett. 38, 196 (1983).
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)].
A. M. Agal’tsov, V. S. Gorelik, A. K. Zvezdin, V. A. Murashov, and D. N. Rakov, Kratk. Soobshch. Fiz. 5, 37 (1989).
M. Fiebig, D. Fröhlich, B. B. Krichevtsov, and R. V. Pisarev, Phys. Rev. Lett. 73, 2127 (1994).
A. Aktsipetrov, O. V. Braginskaya, and D. A. Esikov, Kvantovaya Élektron. 17, 359 (1990) [Sov. J. Quantum Electron. 20, 296 (1990)].
R. V. Pisarev, B. B. Krichevtsov, V. N. Gridnev, V. P. Klin, D. Fröhlich, and C. Pahlke-Lerch, J. Phys. C 5, 8621 (1993).
G. Petrocelli, S. Martelucci, and M. Richetta, Appl. Phys. Lett. 71, 1931 (1993).
V. V. Pavlov, R. V. Pisarev, A. Kirilyuk, and T. Rasing, Phys. Rev. Lett. 78, 2004 (1997).
J. Reif, C. Rau, and E. Matthias, Phys. Rev. Lett. 71, 1931 (1993).
A. K. Zvezdin, Physica A 241, 444 (1997).
A. K. Zvezdin and V. A. Kotov, Modern Magneto-Optics and Magneto-Optical Materials, Institute of Physics, Bristol, England (1997).
P. S. Pershan, Phys. Rev. 130, 919 (1963).
S. Kielich and R. Zavodny, Opt. Acta 20, 867 (1973).
E. B. Graham and R. E. Raab, Philos. Mag. B 66, 269 (1992).
S. S. Girgel’ and T. V. Demidova, Opt. Spektrosk. 62, 63 (1987) [sic].
Y. R. Shen, The Principles of Nonlinear Optics, Wiley, New York (1984) [Russ. transl., Nauka, Moscow (1989)].
W. Hübner and K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).
R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light, North-Holland, Amsterdam (1977).
B. Jérôme and Y. R. Shen, Phys. Rev. E 48, 4556 (1993).
U. Pustogowa, W. Hübner, and K. H. Bennemann, Phys. Rev. B 48, 8607 (1993).
U. Pustogowa, W. Hubner, and K. H. Bennemann, Surf. Sci. 307–309, 1129 (1994).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 116, 141–156 (July 1999)
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558957