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Applied Optics

Applied Optics


  • Vol. 41, Iss. 19 — Jul. 1, 2002
  • pp: 3950–3960

Magneto-optic ellipsometry in exchange-coupled films

Štefan Višňovský, Kamil Postava, Tomuo Yamaguchi, and Radek Lopušník  »View Author Affiliations

Applied Optics, Vol. 41, Issue 19, pp. 3950-3960 (2002)

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Analytical representations of Jones matrices for the magneto-optic (MO) reflection in (a) a magnetic film on a magnetic substrate separated by a nonmagnetic spacer and (b) two ultrathin magnetic films separated by a nonmagnetic spacer, sandwiched between a nonmagnetic cover and a nonmagnetic substrate with arbitrary and independent orientations of magnetization, are provided. Originally isotropic media subjected to a uniform magnetization are considered. The discussion of MO response is restricted to the terms linear in the off-diagonal permittivity tensor elements, and typical situations are illustrated numerically. The results are useful for the analysis of the experiments in MO ellipsometry and MO magnetometry of exchange-coupled magnetic ultrathin-film structures.

© 2002 Optical Society of America

OCIS Codes
(210.3810) Optical data storage : Magneto-optic systems
(240.0310) Optics at surfaces : Thin films
(260.2130) Physical optics : Ellipsometry and polarimetry

Original Manuscript: June 4, 2001
Revised Manuscript: January 3, 2002
Published: July 1, 2002

Štefan Višňovský, Kamil Postava, Tomuo Yamaguchi, and Radek Lopušník, "Magneto-optic ellipsometry in exchange-coupled films," Appl. Opt. 41, 3950-3960 (2002)

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  1. Z. Q. Qiu, S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mat. 200, 664–678 (1999). [CrossRef]
  2. M. R. Pufall, C. Platt, A. Berger, “Layer resolved magnetometry of magnetic bilayer using the magneto-optical Kerr effect with varying angle of incidence,” J. Appl. Phys. 85, 4818–4820 (1999). [CrossRef]
  3. M. Schubert, T. E. Tiwald, J. A. Woollam, “Explicit solutions for the optical properties of arbitrary magneto-optic materials in generalized ellipsometry,” Appl. Opt. 38, 177–187 (1999). [CrossRef]
  4. W. A. McGahan, “Variable angle of incidence analysis of magneto-optic multilayers,” J. Appl. Phys. 67, 4801–4802 (1990). [CrossRef]
  5. Š. Višňovský, M. Nývlt, V. Prosser, R. Lopušník, R. Urban, J. Ferré, G. Pénissard, D. Renard, R. Krishnan, “Polar magneto-optics in simple ultrathin-magnetic-film structures,” Phys. Rev. B 52, 1090–1106 (1995). [CrossRef]
  6. Š. Višňovský, M. Nývlt, V. Prosser, J. Ferré, G. Pénissard, D. Renard, G. Sczigel, “Magnetooptical effects in Au/Co/Au ultrathin film sandwiches,” J. Magn. Magn. Mater. 128, 179–189 (1993). [CrossRef]
  7. P. Yeh, “Optics of anisotropic layered media: a new 4 × 4 matrix algebra,” Surf. Sci. 96, 41–53 (1980). [CrossRef]
  8. Š. Višňovský, “Magneto-optical ellipsometry,” Czech. J. Phys. B 36, 625–650 (1986). [CrossRef]
  9. J. Ferré, P. Meyer, M. Nývlt, “Magnetooptic depth sensitivity in a simple ultrathin film structure,” J. Magn. Magn. Mater. 165, 92–95 (1997). [CrossRef]
  10. G. E. Jellison, “Spectroscopic ellipsometry data analysis: measured versus calculated quantities,” Thin Solid Films 313–314, 33–39 (1998). [CrossRef]
  11. K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172, 199–208 (1997). [CrossRef]
  12. K. Postava, J. Pištora, D. Ciprian, D. Hrabovský, M. Lesňák, A. R. Fert, “Linear and quadratic magneto-optical effects in reflection from a medium with an arbitrary direction of magnetization,” in 11th Slovak–Czech–Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, M. Hrabovsky, A. Strba, W. Urbanczyk, eds., Proc. SPIE3820, 412–422 (1999). [CrossRef]
  13. R. M. Osgood, S. D. Bader, B. M. Clemens, R. L. White, H. Matsuyama, “Second order magneto-optic effects in anisotropic thin films,” J. Magn. Magn. Mater. 182, 297–323 (1998). [CrossRef]
  14. S.-S. Yan, R. Schreiber, P. Grünberg, R. Schäfer, “Magnetization reversal in (001)Fe thin film studied by combining domain images and MOKE hysteresis loops,” J. Magn. Magn. Mater. 210, 309–315 (2000). [CrossRef]
  15. B. Heinrich, “Magnetic nanostructures. From physical principles to spintronics,” Can. J. Phys. 78, 161–199 (2000). [CrossRef]
  16. B. Heinrich, J. A. C. Bland, eds., Ultrathin Magnetic Structures (Springer-Verlag, Berlin, 1994).
  17. B. Heinrich, J. F. Cochran, T. Monchesky, R. Urban, “Exchange coupling through spin-density waves in Cr(001) structures: Fe-whisker/Cr/Fe(001) studies,” Phys. Rev. B 59, 14520–14532 (1999). [CrossRef]
  18. D. T. Pierce, J. Unguris, R. J. Celotta, M. D. Stiles, “Effect of roughness, frustration, and antiferromagnetic order on magnetic coupling of Fe/Cr multilayers,” J. Magn. Magn. Mat. 200, 290–321 (1999). [CrossRef]
  19. J. Zak, E. R. Moog, C. Liu, S. D. Bader, “Magneto-optics of multilayers with arbitrary magnetization directions,” Phys. Rev. B 43, 6423–6429 (1991). [CrossRef]
  20. W. Wettling, “Magneto-optics of ferrites,” J. Magn. Magn. Mat. 3, 147–160 (1976). [CrossRef]
  21. Š. Višňovský, “Magneto-optical permittivity tensor in crystals,” Czech. J. Phys. B 36, 1424–1433 (1986). [CrossRef]
  22. R. M. A. Azzam, N. M. Bashara, Ellipsometry and Polarized Light (North Holland, Amsterdam, 1987).
  23. F. Abelès, “Recherches sur la propagation des ondes électromagnétiques sinusoïdales dans les milieux stratifiés. Application aux couches minces,” Ann. Phys. Paris 5, 596–640 (1950).
  24. M. Born, E. Wolf, Principles of Optics (Cambridge University, Cambridge, UK, 1997) pp. 51–70.
  25. J. Lafait, T. Yamaguchi, J. M. Frigerio, A. Bichri, K. Driss-Khodja, “Effective medium equivalent to a symmetric multilayer at oblique incidence,” Appl. Opt. 29, 2460–2465 (1990). [CrossRef] [PubMed]
  26. P. B. Johnson, R. W. Christy, “Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd,” Phys. Rev. B 9, 5056–5070 (1974). [CrossRef]
  27. Š. Višňovský, R. Krishnan, M. Nývlt, V. Prosser, “Optical behaviour of Fe in magnetic multilayers,” J. Magn. Soc. Jpn. 20, Suppl. S1 41–46 (1996).
  28. D. W. Lynch, W. R. Hunter, Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, Orlando, Fla., 1985), pp. 275–367. [CrossRef]

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