## Experimental characterization of the nonlinear optical and magneto-optical properties of interfaces

JOSA B, Vol. 22, Issue 1, pp. 187-195 (2005)

http://dx.doi.org/10.1364/JOSAB.22.000187

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### Abstract

An effective ellipsometric technique to determine parameters that characterize second-harmonic optical and magneto-optical effects in centrosymmetric media within the electric-dipole approximation is proposed and outlined in detail. The parameters, which are ratios of components of the nonlinear-surface-susceptibility tensors, are obtained from experimental data related to the state of polarization of the second-harmonic-generated radiation as a function of the angle between the plane of incidence and the polarization plane of the incident, linearly polarized, fundamental radiation. Experimental details of the technique are described. A corresponding theoretical model is given as an example for a single isotropic surface assuming polycrystalline samples. The surfaces of air-Au and air-Ni (in magnetized and demagnetized states) have been investigated ex situ in ambient air, and the results are presented. A nonlinear, least-squares-minimization fitting procedure between experimental data and theoretical formulas has been shown to yield realistic, unambiguous results for the ratios corresponding to each of the above materials. Independent methods for verifying the validity of the fitting parameters are also presented. The influence of temporal variations at the surfaces on the state of polarization (due to adsorption, contamination, or oxidation) is also illustrated for the demagnetized air-Ni surface.

© 2005 Optical Society of America

**OCIS Codes**

(190.0190) Nonlinear optics : Nonlinear optics

(190.4350) Nonlinear optics : Nonlinear optics at surfaces

(240.4350) Optics at surfaces : Nonlinear optics at surfaces

**Citation**

Damien McHugh, Ron Atkinson, and Nikolai F. Kubrakov, "Experimental characterization of the nonlinear optical and magneto-optical properties of interfaces," J. Opt. Soc. Am. B **22**, 187-195 (2005)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-1-187

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### References

- W. Hübner, "Electronic theory for nonlinear magneto-optics," in Nonlinear Optics in Metals , K. H. Bennemann, ed. (Clarendon, Oxford, UK, 1998), pp. 268-436.
- Th. Rasing, "Nonlinear magneto-optics," J. Magn. Magn. Mater. 175, 35-50 (1997).
- A. Kirilyuk, "Nonlinear optics in application to magnetic surfaces and thin films," J. Phys. D 35, R189-R207 (2002).
- A. K. Zvezdin and V. A. Kotov, Modern Magneto-Optics and Magneto-Optical Materials (Institute of Physics and Physical Society, London, 1997).
- Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
- N. Bloembergen and P. S. Pershan, "Light waves at the boundary of nonlinear media," Phys. Rev. 128, 606-622 (1962).
- R. Atkinson and N. F. Kubrakov, "Boundary conditions in the simplest model of linear and second harmonic magneto-optical effects," Phys. Rev. B 65, 014432-1-014432-11 (2001).
- U. Pustogowa, W. Hübner, and K. H. Bennemann, "Theory for the nonlinear magneto-optical Kerr effect at ferromagnetic transition-metal surfaces," Phys. Rev. B 48, 8607-8618 (1993).
- G. A. Reider and T. F. Heinz, "Second-order nonlinear optical effects at surfaces and interfaces: recent advances," in Photonic Probes of Surfaces , P. Halevi, ed. (Elsevier, New York, 1995), pp. 414-478.
- S. K. Andersson, M. C. Schanne-Klein, and F. Hache, "Symmetry and phase determination of second-harmonic reflection from calcite surfaces," Phys. Rev. B 59, 3210-3217 (1999).
- F. Hache, S. K. Andersson, M. C. Schanne-Klein, and C. Flytzanis, "Investigation of the phase of the second-order susceptibility measured in off-resonant surface second-harmonic generation," Appl. Phys. B 68, 321-323 (1999).
- J. J. Maki, M. Kauranen, T. Verbiest, and A. Persoons, "Uniqueness of wave-plate measurements in determining the tensor components of second-order surface nonlinearities," Phys. Rev. B 55, 5021-5026 (1997).
- R. Atkinson and N. F. Kubrakov, "Features of the simplest model of second-harmonic magneto-optical Kerr effects," Appl. Phys. B 74, 697-703 (2002).
- A. K. Zvezdin and N. F. Kubrakov, "Nonlinear magneto-optical Kerr effects," JETP 89, 77-85 (1999);
- J. E. Sipe, D. J. Moss, and H. M. van Driel, "Phenomenological theory of optical second- and third-harmonic generation from cubic centrosymmetric crystals," Phys. Rev. B 35, 1129-1141 (1987).
- J. J. Moré, "The Levenberg-Marquardt algorithm: Implementation and theory," in Lecture Notes in Mathematics 630 , G. A. Watson, ed. (Springer-Verlag, New York, 1978), pp. 104-116.
- MATHCAD 11 Software. 1986-2002 Mathsoft Engineering & Education, Inc., http://www.Mathcad.com.
- R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977).

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