OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 22, Iss. 1 — Jan. 1, 2005
  • pp: 148–167

Magnetization-induced-second-harmonic generation from surfaces and interfaces

Andrei Kirilyuk and Theo Rasing  »View Author Affiliations

JOSA B, Vol. 22, Issue 1, pp. 148-167 (2005)

View Full Text Article

Acrobat PDF (1291 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Magnetization-induced effects in the nonlinear optical response of magnetic media, such as magnetization-induced-second-harmonic generation (MSHG), led to very strong and novel nonlinear magneto-optical effects that appear to be very sensitive to magnetic interface properties. This surface-interface sensitivity of MSHG, in combination with the very large magneto-optical effects, has led to a fast development of this technique over the past decade. On the one hand, an extreme sensitivity of MSHG to the electronic and magnetic structure of clean surfaces has been successfully demonstrated. On the other hand, the penetration depth of light allows one to use this sensitivity to study buried interfaces in multilayer systems. Further experimental developments of the MSHG technique, such as space and time resolution as well as magnetization-sensitive-sum-frequency generation, appear to be promising as well.

© 2005 Optical Society of America

OCIS Codes
(190.4720) Nonlinear optics : Optical nonlinearities of condensed matter
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(260.3910) Physical optics : Metal optics

Andrei Kirilyuk and Theo Rasing, "Magnetization-induced-second-harmonic generation from surfaces and interfaces," J. Opt. Soc. Am. B 22, 148-167 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
  2. Nonlinear Optics in Metals , K. H. Bennemann, ed. (Clarendon Press, Oxford, UK, 1998).
  3. T. F. Heinz, "Second-order nonlinear optical effects at surfaces and interfaces," in Nonlinear Surface Electromagnetic Phenomena , H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, 1991).
  4. 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, Amsterdam, 1995).
  5. A. K. Zvezdin and V. A. Kotov, Modern Magneto-optics and Magneto-optical Materials (Institute of Physics, Bristol, 1997).
  6. P. S. Pershan, "Nonlinear optical properties of solids: energy considerations," Phys. Rev. 130, 919-929 (1963).
  7. E. Adler, "Nonlinear optical frequency polarization in a dielectric," Phys. Rev. 134, A728-A733 (1964).
  8. J. Lajzerowicz and M. Vallade, "Génération du second harmonique dans les substances magnétiques ordonnées," C.R. Acad. Sci. Paris 264, 1819-1824 (1967).
  9. N. N. Akhmediev, S. B. Borisov, A. K. Zvezdin, I. L. Lyubchanskii, and Y. V. Melikhov, "Nonlinear optical susceptibility of magnetically ordered crystals," Sov. Phys. Solid State 27, 650-652 (1985).
  10. S. Kielich and R. Zawodny, "Linear and nonlinear magneto-optical effects in materials with spatial-dispersion and magnetic-ordering," Physica B & C 89, 122-125 (1977).
  11. S. Kielich and R. Zawodny, "New nonlinear magneto-optical phenomena in crystals and liquids," Opt. Acta 20, 867-877 (1973).
  12. R.-P. Pan, H. D. Wei, and Y. R. Shen, "Optical second-harmonic generation from magnetized surfaces," Phys. Rev. B 39, 1229-1234 (1989).
  13. W. Hübner and K. H. Bennemann, "Nonlinear magneto-optical Kerr effect on a nickel surface," Phys. Rev. B 40, 5973-5979 (1989).
  14. J. Reif, J. C. Zink, C. M. Schneider, and J. Kirschner, "Effects of surface magnetism on optical second harmonic generation," Phys. Rev. Lett. 67, 2878-2881 (1991).
  15. J. Reif, C. Rau, and E. Matthias, "Influence of magnetism on second harmonic generation," Phys. Rev. Lett. 71, 1931-1934 (1993).
  16. G. Spierings, V. Koutsos, H. A. Wierenga, M. W. J. Prins, D. Abraham, and Th. Rasing, "Optical 2nd harmonic generation study of interface magnetism," Surf. Sci. 287, 747-749 (1993).
  17. Th. Rasing, "Nonlinear magneto-optical probing of magnetic interfaces," Appl. Phys. B 68, 477-484 (1999).
  18. H. A. Wierenga, W. de Jong, M. W. J. Prins, Th. Rasing, R. Vollmer, A. Kirilyuk, H. Schwabe, and J. Kirschner, "Interface magnetism and possible quantum well oscillations in ultrathin Co/Cu films observed by magnetization induced second harmonic generation," Phys. Rev. Lett. 74, 1462-1465 (1995).
  19. M. Straub, R. Vollmer, and J. Kirschner, "Surface magnetism of ultrathin gamma-Fe films investigated by nonlinear magneto-optical Kerr effect," Phys. Rev. Lett. 77, 743-746 (1996).
  20. R. Vollmer, M. Straub, and J. Kirschner, "Nonlinear magneto-optical Kerr measurements on Fe(110)," Surf. Sci. 352, 937-941 (1996).
  21. Q. Y. Jin, H. Regensburger, R. Vollmer, and J. Kirschner, "Periodic oscillations of the surface magnetization during the growth of Co films on Cu(001)," Phys. Rev. Lett. 80, 4056-4059 (1998).
  22. K. J. Veenstra, P. E. Hansen, A. Kirilyuk, A. V. Petukhov, and Th. Rasing, "Surface magnetism of Ni(110) probed by magnetic second harmonic generation," J. Magn. Magn. Mater. 198-199, 695-697 (1999).
  23. K. J. Veenstra, A. V. Petukhov, E. Jurdik, and Th. Rasing, "Strong surface state effects in nonlinear magneto-optical response of Ni(110)," Phys. Rev. Lett. 84, 2002-2005 (2000).
  24. A. Kirilyuk, Th. Rasing, M. A. M. Haast, and J. C. Lodder, "Probing structure and magnetism of CoNi/Pt interfaces by nonlinear magneto-optics," Appl. Phys. Lett. 72, 2331-2333 (1998).
  25. M. Fiebig, D. Fröhlich, B. B. Krichevtsov, and R. V. Pisarev, "Second harmonic generation and magnetic-dipole-electric-dipole interference in antiferromagnetic Cr2O3," Phys. Rev. Lett. 73, 2127-2130 (1994).
  26. M. Fiebig, D. Fröhlich, G. Sluyterman, and R. V. Pisarev, "Domain topography of antiferromagnetic Cr2O3 by 2nd-harmonic generation," Appl. Phys. Lett. 22, 2906-2908 (1995).
  27. V. V. Pavlov, R. V. Pisarev, A. Kirilyuk, and Th. Rasing, "Observation of a transversal nonlinear magneto-optical effect in thin magnetic garnet films," Phys. Rev. Lett. 78, 2004-2007 (1997).
  28. A. Kirilyuk, V. V. Pavlov, R. V. Pisarev, and Th. Rasing, "Asymmetry of second harmonic generation in magnetic thin films under circular optical excitation," Phys. Rev. B 61, R3796-R3799 (2000).
  29. V. N. Gridnev, V. V. Pavlov, R. V. Pisarev, A. Kirilyuk, and Th. Rasing, "Second harmonic generation in anisotropic magnetic films," Phys. Rev. B 63, 184407 (2001).
  30. 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).
  31. B. Koopmans, M. Groot Koerkamp, Th. Rasing, and Hugo van den Berg, "Observation of large Kerr angles in the nonlinear optical response from magnetic multilayers," Phys. Rev. Lett. 74, 3692-3695 (1995).
  32. W. Hübner, "Theory of nonlinear surface magneto-optics for ferromagnetic nickel: Effects of band structure and matrix elements," Phys. Rev. B 42, 11553-11569 (1990).
  33. T. Andersen and W. Hübner, "Substrate effects in the magneto-optical second-harmonic generation from first principles: Fe/Cu(001)," Phys. Rev. B 65, 174409 (2002).
  34. L. Calmels, S. Crampin, J. E. Inglesfield, and Th. Rasing, "Surface states and second harmonic generation at the (110) nickel surface from a first-principles calculation," Surf. Sci. 482, 1050-1055 (2001).
  35. N. Bloembergen and P. S. Pershan, "Light waves at the boundary of nonlinear media," Phys. Rev. 128, 606-622 (1962).
  36. J. E. Sipe, "New Green-function formalism for surface optics," J. Opt. Soc. Am. B 4, 481-489 (1987).
  37. H. A. Wierenga, M. W. J. Prins, D. L. Abraham, and Th. Rasing, "Magnetization-induced optical second-harmonic generation: A probe for interface magnetism," Phys. Rev. B 50, 1282-1285 (1994).
  38. H. A. Wierenga, M. W. J. Prins, and Th. Rasing, "Magnetization-induced optical second-harmonic generation from magnetic multilayers," Physica B 204, 281-286 (1995).
  39. Handbook of Optical Constants of Solids , E. D. Palik, ed. (Academic, Orlando, Fla., 1985).
  40. 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 (2002).
  41. K. J. Veenstra, A. V. Petukhov, A. P. de Boer, and Th. Rasing, "Phase-sensitive detection technique for surface nonlinear optics," Phys. Rev. B 58, R16020-R16023 (1998).
  42. St. Leute, Th. Lottermoser, and D. Fröhlich, "Nonlinear spatially resolved phase spectroscopy," Opt. Lett. 24, 1520-1522 (1999).
  43. J. Hamrle, L. Polerecký, and J. Ferré, "Theory of second-harmonic generation from multilayer systems based on electric point-dipole radiation: Application to magnetic multilayers," Phys. Rev. B 68, 144401 (2003).
  44. A. V. Petukhov, V. L. Brudny, W. L. Mochán, J. A. Maytorena, B. S. Mendoza, and Th. Rasing, "Energy conservation and the Manley-Rowe relations in surface nonlinear-optical spectroscopy," Phys. Rev. Lett. 81, 566-569 (1998).
  45. K. Sato, A. Kodama, M. Miyamoto, A. V. Petukhov, K. Takanashi, S. Mitani, H. Fujimori, A. Kirilyuk, and Th. Rasing, "Anisotropic magnetization-induced second harmonic generation in Fe-Au superlattices," Phys. Rev. B 64, 184427 (2001).
  46. A. V. Petukhov, I. L. Lyubchanskii, and Th. Rasing, "Theory of nonlinear magneto-optical imaging of magnetic domains and domain walls," Phys. Rev. B 56, 2680-2687 (1997).
  47. R. Stolle, K. J. Veenstra, F. Manders, Th. Rasing, H. van den Berg, and N. Persat, "Breaking of time-reversal symmetry probed by optical second-harmonic generation," Phys. Rev. B 55, R4925-R4927 (1997).
  48. K.-J. Veenstra, "Phase sensitive nonlinear magneto-optical spectroscopy," Ph.D. thesis (University of Nijmegen, The Netherlands, 2000).
  49. Y. Uesu, S. Kurimura, and Y. Yamamoto, "Optical 2nd harmonic images of 9-degrees domain-structures in BaTiO, and periodically poled inverted antiparallel domains in LiTaO3," Appl. Phys. Lett. 66, 2165-2167 (1995).
  50. S. Kurimura and Y. Uesu, "Application of the second harmonic generation microscope to nondestructive observation of periodically poled ferroelectric domains in quasiphase-matched wavelength converters," J. Appl. Phys. 81, 369-375 (1997).
  51. S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, "Second-harmonic imaging of ferroelectric domain walls," Appl. Phys. Lett. 73, 1814-1816 (1998).
  52. E. D. Mishina, N. E. Sherstyuk, E. Ph. Pevtsov, K. A. Vorotilov, A. S. Sigov, M. P. Moret, S. A. Rössinger, P. K. Larsen, and Th. Rasing, "Local probing of the polarization state in thin Pb(ZrTi)O3 films during polarization reversal," Appl. Phys. Lett. 78, 796-798 (2001).
  53. M. Flörsheimer, M. Bösch, Ch. Brillert, M. Wierschem, and H. Fuchs, "Surface order and symmetry determined by second-harmonic microscopy," Supramol. Sci. 4, 255-263 (1997).
  54. M. Flörsheimer, M. Bösch, Ch. Brillert, M. Wierschem, and H. Fuchs, "Second-harmonic microscopy - A quantitative probe for molecular surface order," Adv. Mater. 9, 1061 (1997).
  55. K. Pedersen and S. I. Bozhevolnyi, "Second-harmonic generation scanning microscopy on domains in Al surfaces," Phys. Status Solidi A 175, 201-206 (1999).
  56. J. Erland, S. I. Bozhevolnyi, K. Pedersen, J. R. Jensen, and J. M. Hvam, "Second-harmonic imaging of semiconductor quantum dots," Appl. Phys. Lett. 77, 806-808 (2000).
  57. I. I. Smolyaninov, A. V. Zayats, and C. C. Davis, "Near-field second-harmonic imaging of ferromagnetic and ferroelectric materials," Opt. Lett. 22, 1592-1594 (1997).
  58. S. I. Bozhevolnyi, B. Vohnsen, and K. Pedersen, "Near-field optical microscopy of nonlinear susceptibilities," Opt. Commun. 150, 49-55 (1998).
  59. A. V. Zayats and V. Sandoghdar, "Apertureless scanning near-field second-harmonic microscopy," Opt. Commun. 178, 245-249 (2000).
  60. V. Kirilyuk, A. Kirilyuk, and Th. Rasing, "A combined nonlinear and linear magneto-optical microscopy," Appl. Phys. Lett. 70, 2306-2308 (1997).
  61. A. Kirilyuk, Th. Rasing, R. Mégy, and P. Beauvillain, "Nonlinear magneto-optical response from quantum well states in noble metals: double period and interface localization," Phys. Rev. Lett. 77, 4608-4611 (1996).
  62. V. V. Pavlov, J. Ferré, P. Meyer, G. Tessier, P. Georges, A. Brun, P. Beauvillain, and V. Mathet, "Linear and non-linear magneto-optical studies of Pt-Co-Pt thin films," J. Phys.: Condens. Matter 13, 9867-9878 (2001).
  63. A. Kirilyuk, V. Kirilyuk, and Th. Rasing, "Nonlinear magneto-optical imaging of interface magnetic structures," J. Magn. Magn. Mater. 198-199, 620-623 (1999).
  64. M. D. Bijker, D. M. Donnet, and J. C. Lodder, "The effect of sputter pressure on the microstructure of CoNi-Pt multilayers," J. Magn. Soc. Jpn. 20(S1), 407-409 (1996).
  65. K. Kemnitz, K. Bhattacharya, J. M. Hicks, G. R. Pinto, K. B. Eisental, and T. F. Heinz, "The phase of 2nd-harmonic light generated at an interface and its relation to absolute molecular orientation," Chem. Phys. Lett. 131, 285-290 (1986).
  66. R. Stolle, M. Loddoch, G. Marowsky, G. Berkovic, F. H. Kreuzer, and H. Leigeber, "Studies of nematic liquid-crystal cells using 2nd-harmonic phase measurements," Langmuir 11, 3251-3254 (1995).
  67. R. K. Chang, J. Ducuing, and N. Bloembergen, "Relative phase measurement between fundamental and second-harmonic light," Phys. Rev. Lett. 15, 6-8 (1965).
  68. S. Janz, D. J. Bottomley, H. M. van Driel, and R. S. Timsit, "Influence of steps on second-harmonic generation from vicinal metal surfaces," Phys. Rev. Lett. 66, 1201-1204 (1991).
  69. A. K. Schmid and J. Kirschner, "In situ observation of epitaxial growth of Co thin films on Cu(001)," Ultramicroscopy 42-44, 483-489 (1992).
  70. It is easy to derive by use of the mirror symmetry operation with respect to the center plane of the film that the second-order susceptibilities of ideal mirrored interfaces are of equal amplitude but opposite phase.
  71. O. A. Aktsipetrov, A. A. Nikulin, V. I. Panov, S. I. Vasil'ev, and A. V. Petukhov, "Electromagnetic mechanism of surface enhanced 2nd-harmonic generation by smooth silver electrodes and scanning tunneling microscopy," Solid State Commun. 76, 55-59 (1990).
  72. K. Bal, H. A. M. van den Berg, A. Keen, and Th. Rasing, "Thermal stability of the antiferromagnetically coupled Co-Cu-Co stack," J. Appl. Phys. 89, 7508-7510 (2001).
  73. K. Takanashi, S. Mitani, M. Sano, H. Fujimori, H. Nakajima, and A. Osawa, "Artificial fabrication of an L1[sub 0]-type ordered FeAu alloy by alternate monatomic deposition," Appl. Phys. Lett. 67, 1016-1018 (1995).
  74. S. Mitani, K. Takanashi, H. Nakajima, K. Sato, R. Schreiber, P. Grunberg, and H. Fujimori, "Structural and magnetic properties of Fe-noble metal monatomic multilayers equivalent to L1(0) ordered alloys," J. Magn. Magn. Mater. 156, 7-10 (1996).
  75. K. Sato, J. Abe, H. Ikekame, K. Takanashi, S. Mitani, and H. Fujimori, "Magneto-optical characterization of Fe-Au artificially ordered alloy," J. Magn. Soc. Jpn. 20(S1), 35-40 (1996).
  76. K. Sato, E. Takeda, M. Akita, M. Yamaguchi, K. Takanashi, S. Mitani, H. Fujimori, and Y. Suzuki, "Magneto-optical spectra of Fe-Au artificial superlattices modulated by integer and noninteger atomic layers," J. Appl. Phys. 86, 4985-4996 (1999).
  77. R. Vollmer, M. Straub, and J. Kirschner, "Second harmonic generation from the Cu(001) surface," Surf. Sci. 352, 684-688 (1996).
  78. D. A. Koos, V. L. Shanon, and G. L. Richmond, "Surface-dipole and electric-quadrupole contributions to anisotropic second-harmonic generation from noble-metal surfaces," Phys. Rev. B 47, 4730-4734 (1993).
  79. K. Pedersen and O. Keller, "Experimental study of phenomenological parameters describing optical 2nd-harmonic generation in centrosymmetric materials," J. Opt. Soc. Am. B 6, 2412-2419 (1989).
  80. H. W. K. Tom, T. F. Heinz, and Y. R. Shen, "Second-harmonic reflection from silicon surfaces and its relation to structural symmetry," Phys. Rev. Lett. 51, 1983-1986 (1983).
  81. M. Fiebig, D. Fröhlich, K. Kohn, St. Leute, Th. Lottermoser, V. V. Pavlov, and R. V. Pisarev, "Determination of the magnetic symmetry of hexagonal manganites by second harmonic generation," Phys. Rev. Lett. 84, 5620-5623 (2000).
  82. A. Tsukamoto, K. Nakagawa, A. Itoh, A. van Etteger, A. Kirilyuk, and Th. Rasing, "Interface versus bulk magnetization reversal in TbFeCo thin films," to be published.
  83. A. G. Banshchikov, A. V. Kimel, V. V. Pavlov, R. V. Pisarev, N. S. Sokolov, and Th. Rasing, "Generation of second optical harmonic and magneto-optical Kerr effect in ferromagnetic-semiconductor heterostructures CaF2-MnAs-Si(111)," Phys. Solid State 42, 909-917 (2000).
  84. H. Awano, S. Imai, M. Sekine, M. Tani, N. Ohta, K. Mitani, N. Takagi, H. Noguchi, and M. Kume, "20-nm-domain expansion readout by magnetic amplifying MO system (MAMMOS)," IEEE Trans. Magn. 36, 2261-2265 (2000).
  85. Surface Polaritons , V. M. Agranovich and D. L. Mills, eds. (North-Holland, Amsterdam, 1982).
  86. V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, "Magneto-optical effects enhanced by surface plasmons in metallic multilayer films," Phys. Rev. Lett. 73, 3584-3587 (1994).
  87. C. K. Chen, A. R. B. de Castro, and Y. R. Shen, "Coherent second-harmonic generation by counterpropagating sur-face plasmons," Opt. Lett. 4, 393-394 (1979), and references cited therein.
  88. V. V. Pavlov, G. Tessier, C. Malouin, P. Georges, A. Brun, D. Renard, P. Meyer, J. Ferré, and P. Beauvillain, "Observation of magneto-optical second-harmonic generation with surface plasmon excitation in ultrathin Au-Co-Au films," Appl. Phys. Lett. 75, 190-192 (1999).
  89. D. Renard and G. Nihoul, "Crystal-structure of a magnetic cobalt layer deposited on a (111) gold surface determined by transmission electron-microscopy," Philos. Mag. B 55, 75-86 (1987).
  90. P. Guyot-Sionnest, W. Chen, and Y. R. Shen, "General considerations on optical second-harmonic generation from surfaces and interfaces," Phys. Rev. B 33, 8254-8263 (1986).
  91. A. Liebsch and W. L. Schaich, "Second-harmonic generation at simple metal surfaces," Phys. Rev. B 40, 5401-5410 (1989).
  92. V. A. Kosobukin, "Non-local magneto-optics of ultrathin ferromagnetic layers mediated by surface plasmon-polaritons," J. Magn. Magn. Mater. 153, 397-411 (1996).
  93. T. V. Murzina, T. V. Misuryaev, A. F. Kravets, J. Güdde, D. Schuhmacher, G. Marowsky, A. A. Nikulin, and O. A. Aktsipetrov, "Nonlinear magneto-optical Kerr effect and plasmon-assisted SHG in magnetic nanomaterials exhibiting giant magnetoresistance," Surf. Sci. 482-485, 1101-1106 (2001).
  94. X. D. Zhu, Hajo Suhr, and Y. R. Shen, "Surface vibrational spectroscopy by infrared-visible sum-frequency generation," Phys. Rev. B 35, 3047-3050 (1987).
  95. P. Guyot-Sionnest, J. H. Hunt, and Y. R. Shen, "Sum-frequency vibrational spectroscopy of a Langmuir film: Study of molecular orientation of a two-dimensional system," Phys. Rev. Lett. 59, 1597-1600 (1987).
  96. A. L. Harris, C. E. D. Chidsey, N. J. Levinos, and D. N. Loiacono, "Monolayer vibrational spectroscopy on metal and semiconductor surfaces by infrared-visible sum generation," Chem. Phys. Lett. 141, 350-356 (1987).
  97. E. V. Alieva, Y. E. Petrov, V. A. Yakovlev, V. A. Sychugov, E. R. Eliel, E. W. M. van der Ham, Q. H. F. Vrehen, and A. F. G. van der Meer, "Giant enhancement of sum-frequency generation upon excitation of a surface plasmon-polariton," JETP Lett. 66, 609-613 (1997).
  98. A. Kirilyuk, G. M. H. Knippels, A. F. G. van der Meer, S. Renard, Th. Rasing, I. R. Heskamp, and J. C. Lodder, "Observation of strong magnetic effects in visible-infrared sum-frequency generation from magnetic structures," Phys. Rev. B 62, R783-R786 (2000).
  99. D. Fröhlich, St. Leute, V. V. Pavlov, and R. V. Pisarev, "Nonlinear optical spectroscopy of the two-order-parameter compound YMnO3," Phys. Rev. Lett. 81, 3239-3242 (1998).
  100. M. Fiebig, K. Miyano, Y. Tomioka, H. Kuwahara, Y. Tokura, and K. Reimann, "Nonlinear magneto-optical properties of colossal magnetoresistive manganites," Phys. Rev. Lett. 86, 6002-6005 (2001).
  101. M. Fiebig, D. Fröhlich, Th. Lottermoser, V. V. Pavlov, R. V. Pisarev, and H.-J. Weber, "Second harmonic generation in the centrosymmetric antiferromagnet NiO," Phys. Rev. Lett. 87, 137202 (2001).
  102. M. Fiebig, C. Degenhardt, and R. V. Pisarev, "Interaction of frustrated magnetic sublattices in ErMnO3," Phys. Rev. Lett. 88, 027203 (2002).
  103. R. Vollmer, "Magnetization-induced second-harmonic generation from surfaces and ultrathin films," in Nonlinear Optics in Metals , K. H. Bennemann, ed. (Clarendon Press, Oxford, UK, 1998), p. 42.
  104. T. A. Luce, W. Hübner, A. Kirilyuk, Th. Rasing, and K. H. Bennemann, "Theory for the nonlinear optical response of quantum-well states in ultrathin films," Phys. Rev. B 57, 7377-7384 (1998).
  105. N. N. Dadoenkova, I. L. Lyubchanskii, M. I. Lyubchanskii, and Th. Rasing, "Nonlinear magneto-optical diffraction from periodic domain structures in magnetic films," Appl. Phys. Lett. 74, 1880-1882 (1999).
  106. I. L. Lyubchanskii, N. N. Dadoenkova, M. I. Lyubchanskii, E. A. Shapovalov, and Th. Rasing, "Magnetic photonic crystals," J. Phys. D 36, R277-R287 (2003).
  107. O. A. Aktsipetrov, "Nonlinear magneto-optics in magnetic nanoparticles," Colloids Surf. 202, 165-173 (2002).
  108. Y. J. Ding and A. E. Kaplan, "Nonlinear magneto-optics of vacuum: Second-harmonic generation," Phys. Rev. Lett. 63, 2725-2728 (1989).
  109. J. Hohlfeld, E. Matthias, R. Knorren, and K. H. Bennemann, "Nonequilibrium magnetization dynamics of nickel," Phys. Rev. Lett. 78, 4861-4864 (1997).
  110. J. Güdde, U. Conrad, V. Jähnke, J. Hohlfeld, and E. Matthias, "Magnetization dynamics of Ni and Co films on Cu(001) and of bulk nickel surfaces," Phys. Rev. B 59, R6608-R6611 (1999).
  111. H. Regensburger, R. Vollmer, and J. Kirschner, "Time-resolved magnetization-induced second-harmonic generation from the Ni(110) surface," Phys. Rev. B 61, 14716-14722 (2000).
  112. T. M. Crawford, P. Kabos, and T. J. Silva, "Coherent control of precessional dynamics in thin film Permalloy," Appl. Phys. Lett. 76, 2113-2115 (2000).
  113. T. J. Silva, M. R. Pufall, and P. Kabos, "Nonlinear magneto-optic measurement of flux propagation dynamics in thin Permalloy films," J. Appl. Phys. 91, 1066-1073 (2002).
  114. Th. Gerrits, J. Hohlfeld, H. A. M. van den Berg, and Th. Rasing, "Ultrafast precessional magnetization reversal by picosecond magnetic field pulse shaping," Nature 418, 509-512 (2002).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited