Abstract

We present a rotating field method to separate the linear and quadratic magneto-optical Kerr effects (LMOKE and QMOKE) in Fe/GaAs(001) films. The LMOKE is isotropic in crystal orientation, while the QMOKE has both isotropic and anisotropic contributions. The experimental observation is well explained by Yeh’s 4×4 matrix formalism. We also report the incident angle and the thickness dependences of the LMOKE and QMOKE, and extract the material’s index of refraction n and the magneto-optical coupling constant K and G. The study gives a full description of the Kerr effect in Fe films, and the proposed method can be applied to other magneto-optical coupling systems.

© 2015 Optical Society of America

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References

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  1. J. Kerr, “On rotation of the plane of the polarization by reflection from the pole of a magnet,” Philos. Mag. 3(19), 321–343 (1877).
    [Crossref]
  2. J. Kerr, “On reflection of polarized light from the equatorial surface of a magnet,” Philos. Mag. 5(30), 161–177 (1878).
    [Crossref]
  3. E. R. Moog and S. D. Bader, “Smoke signals from ferromagnetic monolayers: p(1×1) Fe/Au(100),” Superlattices Microstruct. 1(6), 543–552 (1985).
    [Crossref]
  4. J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
    [Crossref]
  5. S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
    [Crossref]
  6. G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
    [Crossref]
  7. E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
    [Crossref]
  8. S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
    [Crossref] [PubMed]
  9. H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
    [Crossref]
  10. G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).
  11. Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
    [Crossref]
  12. Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
    [Crossref]
  13. R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
    [Crossref]
  14. K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
    [Crossref]
  15. K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
    [Crossref]
  16. M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
    [Crossref]
  17. X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
    [Crossref]
  18. G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
    [Crossref]
  19. G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).
  20. L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
    [Crossref]
  21. Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mater. 200(1-3), 664–678 (1999).
    [Crossref]
  22. P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
    [Crossref] [PubMed]
  23. W. Voigt, Magneto u. Elektrooptic (Teubner, 1908).
  24. R. P. Hunt, “Magneto-Optic Scattering from Thin Solid Films,” J. Appl. Phys. 38(4), 1652 (1967).
    [Crossref]
  25. Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
    [Crossref] [PubMed]
  26. P. Yeh, “Optics of anisotropic layered media: a new 4*4 matrix algebra,” Surf. Sci. 96(1-3), 41–53 (1980).
    [Crossref]
  27. S. Visnovsky, “Magneto-optical ellipsometry,” Czech. J. Phys. B 36(5), 625–650 (1986).
    [Crossref]
  28. S. Visnovsky, R. Lopusnik, M. Bauer, J. Bok, J. Fassbender, and B. Hillebrands, “Magnetooptic ellipsometry in multilayers at arbitrary magnetization,” Opt. Express 9(3), 121–135 (2001).
    [Crossref] [PubMed]
  29. http://refractiveindex.info/

2013 (1)

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

2011 (3)

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

2010 (2)

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

2009 (1)

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

2008 (1)

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

2007 (2)

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

2005 (1)

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

2002 (1)

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

2001 (1)

1999 (1)

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mater. 200(1-3), 664–678 (1999).
[Crossref]

1997 (2)

R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
[Crossref]

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

1996 (1)

P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
[Crossref] [PubMed]

1992 (2)

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
[Crossref] [PubMed]

1990 (1)

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

1986 (1)

S. Visnovsky, “Magneto-optical ellipsometry,” Czech. J. Phys. B 36(5), 625–650 (1986).
[Crossref]

1985 (1)

E. R. Moog and S. D. Bader, “Smoke signals from ferromagnetic monolayers: p(1×1) Fe/Au(100),” Superlattices Microstruct. 1(6), 543–552 (1985).
[Crossref]

1980 (1)

P. Yeh, “Optics of anisotropic layered media: a new 4*4 matrix algebra,” Surf. Sci. 96(1-3), 41–53 (1980).
[Crossref]

1967 (1)

R. P. Hunt, “Magneto-Optic Scattering from Thin Solid Films,” J. Appl. Phys. 38(4), 1652 (1967).
[Crossref]

1965 (1)

G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).

1878 (1)

J. Kerr, “On reflection of polarized light from the equatorial surface of a magnet,” Philos. Mag. 5(30), 161–177 (1878).
[Crossref]

1877 (1)

J. Kerr, “On rotation of the plane of the polarization by reflection from the pole of a magnet,” Philos. Mag. 3(19), 321–343 (1877).
[Crossref]

Ando, Y.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

Arrott, A. S.

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

Bader, S. D.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mater. 200(1-3), 664–678 (1999).
[Crossref]

Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
[Crossref] [PubMed]

E. R. Moog and S. D. Bader, “Smoke signals from ferromagnetic monolayers: p(1×1) Fe/Au(100),” Superlattices Microstruct. 1(6), 543–552 (1985).
[Crossref]

Bansmann, J.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

Bauer, M.

Blomeier, S.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Bok, J.

Bruno, P.

P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
[Crossref] [PubMed]

Buchmeier, M.

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

Bürgler, D. E.

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

Celinski, Z.

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

Chappert, C.

P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
[Crossref] [PubMed]

Chen, G.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

Clemens, B. M.

R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
[Crossref]

Fassbender, J.

Felser, C.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Fert, A. R.

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Gaier, O.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Gaupp, A.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Goiran, M.

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Gudat, W.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Hamrle, J.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Heinrich, B.

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

Hillebrands, B.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

S. Visnovsky, R. Lopusnik, M. Bauer, J. Bok, J. Fassbender, and B. Hillebrands, “Magnetooptic ellipsometry in multilayers at arbitrary magnetization,” Opt. Express 9(3), 121–135 (2001).
[Crossref] [PubMed]

Hrabovsky, D.

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

Hunt, R. P.

R. P. Hunt, “Magneto-Optic Scattering from Thin Solid Films,” J. Appl. Phys. 38(4), 1652 (1967).
[Crossref]

Huo, Y.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

Jaffres, H.

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Jakob, G.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Kerr, J.

J. Kerr, “On reflection of polarized light from the equatorial surface of a magnet,” Philos. Mag. 5(30), 161–177 (1878).
[Crossref]

J. Kerr, “On rotation of the plane of the polarization by reflection from the pole of a magnet,” Philos. Mag. 3(19), 321–343 (1877).
[Crossref]

Kleibert, A.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

Kubota, T.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

Lee, C. G.

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

Legut, D.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

Li, J.

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

Li, J. X.

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

Liang, J. H.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

Liu, F. Z.

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

Lopusnik, R.

Matthes, F.

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

Mertins, H. C.

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Metzger, G.

G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).

Mishina, A. V.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Mishina, E. D.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Moog, E. R.

E. R. Moog and S. D. Bader, “Smoke signals from ferromagnetic monolayers: p(1×1) Fe/Au(100),” Superlattices Microstruct. 1(6), 543–552 (1985).
[Crossref]

Morosov, A. I.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Moshnyaga, V.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Müller, M.

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

Nguyen Van Dau, F.

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Oppeneer, P. M.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Osgood, R. M.

R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
[Crossref]

Pearson, J.

Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
[Crossref] [PubMed]

Pistora, J.

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

Pluvinage, P.

G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).

Postava, K.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Qiu, Z. Q.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mater. 200(1-3), 664–678 (1999).
[Crossref]

Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
[Crossref] [PubMed]

Rasing, Th.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Rusz, J.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

Samwer, K.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Schneider, C. M.

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Schneider, H.

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Schreiber, R.

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

Schuhl, A.

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Sudheendra, L.

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

Suzuki, Y.

P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
[Crossref] [PubMed]

Taira, T.

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

Tong, L. N.

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

Torguet, P.

G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).

Trudel, S.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

Valencia, S.

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Visnovsky, S.

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

S. Visnovsky, R. Lopusnik, M. Bauer, J. Bok, J. Fassbender, and B. Hillebrands, “Magnetooptic ellipsometry in multilayers at arbitrary magnetization,” Opt. Express 9(3), 121–135 (2001).
[Crossref] [PubMed]

S. Visnovsky, “Magneto-optical ellipsometry,” Czech. J. Phys. B 36(5), 625–650 (1986).
[Crossref]

White, R. L.

R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
[Crossref]

Wolf, G.

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

Wu, Y. Z.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

Xiao, X.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

Yamaguchi, T.

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

Yamamoto, M.

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

Yeh, P.

P. Yeh, “Optics of anisotropic layered media: a new 4*4 matrix algebra,” Surf. Sci. 96(1-3), 41–53 (1980).
[Crossref]

Zhong, Q. M.

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

Zhu, J.

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

Ann. Phys. (Paris) (1)

G. Metzger, P. Pluvinage, and P. Torguet, “Linear and quadratic terms in the magneto-optical Kerr effect,” Ann. Phys. (Paris) 10, 5 (1965).

Appl. Phys. Lett. (1)

G. Chen, J. Zhu, J. Li, F. Z. Liu, and Y. Z. Wu, “Revealing the volume magnetic anisotropy of Fe films epitaxied on GaAs(001) surface,” Appl. Phys. Lett. 98(13), 132505 (2011).
[Crossref]

Appl. Phys., A Mater. Sci. Process. (1)

H. C. Mertins, S. Valencia, A. Gaupp, W. Gudat, P. M. Oppeneer, and C. M. Schneider, “Magneto-optical polarization spectroscopy with soft X-rays,” Appl. Phys., A Mater. Sci. Process. 80(5), 1011–1020 (2005).
[Crossref]

Czech. J. Phys. B (1)

S. Visnovsky, “Magneto-optical ellipsometry,” Czech. J. Phys. B 36(5), 625–650 (1986).
[Crossref]

J. Appl. Phys. (7)

R. P. Hunt, “Magneto-Optic Scattering from Thin Solid Films,” J. Appl. Phys. 38(4), 1652 (1967).
[Crossref]

G. Chen, J. X. Li, J. Zhu, J. H. Liang, and Y. Z. Wu, “In-plane magnetic anisotropy in Fe/MgO/GaAs(001) system,” J. Appl. Phys. 109, 07C108 (2011).

S. Trudel, J. Hamrle, B. Hillebrands, T. Taira, and M. Yamamoto, “Magneto-optical investigation of epitaxial nonstoichiometric Co2MnGe thin films,” J. Appl. Phys. 107(4), 043912 (2010).
[Crossref]

G. Wolf, J. Hamrle, S. Trudel, T. Kubota, Y. Ando, and B. Hillebrands, “Quadratic magneto-optical Kerr effect in Co2MnSi,” J. Appl. Phys. 110(4), 043904 (2011).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Surface magnetooptical Kerr effect for ultrathin NiFe bilayers,” J. Appl. Phys. 67(9), 4448 (1990).
[Crossref]

K. Postava, D. Hrabovsky, J. Pistora, A. R. Fert, S. Visnovsky, and T. Yamaguchi, “Anisotropy of quadratic magneto-optic effects in reflection,” J. Appl. Phys. 91(10), 7293 (2002).
[Crossref]

X. Xiao, J. H. Liang, Y. Huo, J. Zhu, G. Chen, and Y. Z. Wu, “Magnetic anisotropy in Fe films epitaxied by thermal deposition and pulse laser deposition on GaAs(001),” J. Appl. Phys. 113(17), 17C114 (2013).
[Crossref]

J. Magn. Magn. Mater. (3)

K. Postava, H. Jaffres, A. Schuhl, F. Nguyen Van Dau, M. Goiran, and A. R. Fert, “Linear and quadratic magneto-optical measurements of the spin reorientation in epitaxial Fe films on MgO,” J. Magn. Magn. Mater. 172(3), 199–208 (1997).
[Crossref]

Q. M. Zhong, A. S. Arrott, B. Heinrich, and Z. Celinski, “Magneto-optic response in ultrathin Ni/Fe bilayers,” J. Magn. Magn. Mater. 104, 1837–1839 (1992).
[Crossref]

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect (SMOKE),” J. Magn. Magn. Mater. 200(1-3), 664–678 (1999).
[Crossref]

J. Phys. D (1)

J. Hamrle, S. Blomeier, O. Gaier, B. Hillebrands, H. Schneider, G. Jakob, K. Postava, and C. Felser, “Huge quadratic magneto-optical Kerr effect and magnetization reversal in the Co2FeSi Heusler compound,” J. Phys. D 40(6), 1563–1569 (2007).
[Crossref]

Opt. Express (1)

Philos. Mag. (2)

J. Kerr, “On rotation of the plane of the polarization by reflection from the pole of a magnet,” Philos. Mag. 3(19), 321–343 (1877).
[Crossref]

J. Kerr, “On reflection of polarized light from the equatorial surface of a magnet,” Philos. Mag. 5(30), 161–177 (1878).
[Crossref]

Phys. Rev. B (4)

E. D. Mishina, A. I. Morosov, A. V. Mishina, V. Moshnyaga, L. Sudheendra, K. Samwer, and Th. Rasing, “Quadratic effects in the nonlinear magneto-optical response of perovskite manganites studied with magnetization-induced second harmonic generation,” Phys. Rev. B 75(6), 064401 (2007).
[Crossref]

R. M. Osgood, B. M. Clemens, and R. L. White, “Asymmetric magneto-optic response in anisotropic thin films,” Phys. Rev. B 55(14), 8990–8996 (1997).
[Crossref]

M. Buchmeier, R. Schreiber, D. E. Bürgler, and C. M. Schneider, “Thickness dependence of linear and quadratic magneto-optical Kerr effects in ultrathin Fe(001) films,” Phys. Rev. B 79(6), 064402 (2009).
[Crossref]

L. N. Tong, F. Matthes, M. Müller, C. M. Schneider, and C. G. Lee, “Influence of MgO overlayers on the electronic states of Fe(001) thin films grown on GaAs(001),” Phys. Rev. B 77(6), 064421 (2008).
[Crossref]

Phys. Rev. B Condens. Matter (2)

P. Bruno, Y. Suzuki, and C. Chappert, “Magneto-optical Kerr effect in a paramagnetic overlayer on a ferromagnetic substrate: A spin-polarized quantum size effect,” Phys. Rev. B Condens. Matter 53(14), 9214–9220 (1996).
[Crossref] [PubMed]

Z. Q. Qiu, J. Pearson, and S. D. Bader, “Additivity of the magneto-optic Kerr signal in ultrathin Fe(110)/Ag(111) superlattices,” Phys. Rev. B Condens. Matter 45(13), 7211–7216 (1992).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

S. Valencia, A. Kleibert, A. Gaupp, J. Rusz, D. Legut, J. Bansmann, W. Gudat, and P. M. Oppeneer, “Quadratic X-ray magneto-optical effect upon reflection in a near-normal-incidence configuration at the M edges of 3d-transition metals,” Phys. Rev. Lett. 104(18), 187401 (2010).
[Crossref] [PubMed]

Superlattices Microstruct. (1)

E. R. Moog and S. D. Bader, “Smoke signals from ferromagnetic monolayers: p(1×1) Fe/Au(100),” Superlattices Microstruct. 1(6), 543–552 (1985).
[Crossref]

Surf. Sci. (1)

P. Yeh, “Optics of anisotropic layered media: a new 4*4 matrix algebra,” Surf. Sci. 96(1-3), 41–53 (1980).
[Crossref]

Other (2)

http://refractiveindex.info/

W. Voigt, Magneto u. Elektrooptic (Teubner, 1908).

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Figures (6)

Fig. 1
Fig. 1 (a) Schematic of the MOKE setup with the vector magnet. (b) Schematic of the directions of the applied field H and normalized magnetization m ; ϕ H / ϕ m refer to the angle between field / magnetization and x axis, respectively.
Fig. 2
Fig. 2 (a) MOKE, (b) LMOKE, and (c) QMOKE signals as a function of ϕ H . (d) MOKE, (e) LMOKE, and (f) QMOKE signals as a function of ϕ m . The data is obtained on the sample Fe(12nm)/GaAs(100) at the conditions of α=50° , φ=40° , and H = 1000 Oe.
Fig. 3
Fig. 3 (a) LMOKE and (b) QMOKE in different sample orientations; α is the angle between the Fe [110] direction and the incident plane. Lines in (b) are fitting lines.
Fig. 4
Fig. 4 Linear and quadratic Kerr angle as a function of sample orientation α with incident angle φ=40° on the sample Fe(12nm)/GaAs(100). (a) and (b) show the Kerr rotation with s- and p- polarization of incident light, respectively; (c) and (d) show the Kerr ellipticity with s- and p- polarized incident light, respectively.
Fig. 5
Fig. 5 The isotropic and anisotropic contributions of (a) LMOKE and (b) QMOKE with various incident angles with s-polarized incident light on the sample Fe(12 nm)/GaAs(100). The solid lines are the fitted results.
Fig. 6
Fig. 6 The measured (a) Kerr rotation and Kerr ellipticity of LMOKE, (c) Kerr rotation of QMOKE, and (e) Kerr ellipticity of QMOKE as a function of Fe thickness with s-polarized incident light and incident angle φ=45° on the sample Fe(0-30nm) / GaAs(100); lines in (b), (d), and (f) are calculated results.

Tables (1)

Tables Icon

Table 1 Parameters obtained through theoretical fitting on different samples

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

Φ= Φ L m L + Φ LT m L m T + Φ TT m T 2
Φ L (m)= [Φ(m)Φ(m)] /2
Φ Q (m)= [Φ(m)+Φ(m)] /2
ε ij = ε ij 0 + K ijk m k + G ijkl m k m l
Φ=A[ 2 G 44 + ΔG( 1cos4α ) /2 K 2 / n 2 ] m L m T +A[ ΔG( sin4α ) /2 ] m T 2 +BK m L

Metrics