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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 14 — Jul. 9, 2007
  • pp: 8695–8701

Multipolar tensor analysis of second-order nonlinear optical response of surface and bulk of glass

Francisco J. Rodríguez, Fu Xiang Wang, Brian K. Canfield, Stefano Cattaneo, and Martti Kauranen  »View Author Affiliations

Optics Express, Vol. 15, Issue 14, pp. 8695-8701 (2007)

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We use two-beam second-harmonic generation to perform a quantitative tensor analysis of the effective dipolar surface nonlinearity and the separable multipolar bulk nonlinearity for BK7 glass. The most straightforward, self-consistent interpretation of the results is obtained when the effective surface response is assumed to have approximate Kleinman symmetry and the bulk contribution is dominated by magnetic, rather than quadrupole, effects.

© 2007 Optical Society of America

OCIS Codes
(160.2750) Materials : Glass and other amorphous materials
(190.4350) Nonlinear optics : Nonlinear optics at surfaces

ToC Category:
Nonlinear Optics

Original Manuscript: March 12, 2007
Revised Manuscript: June 25, 2007
Manuscript Accepted: June 26, 2007
Published: June 27, 2007

Francisco J. Rodríguez, Fu X. Wang, Brian K. Canfield, Stefano Cattaneo, and Martti Kauranen, "Multipolar tensor analysis of second-order nonlinear optical response of surface and bulk of glass," Opt. Express 15, 8695-8701 (2007)

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  1. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
  2. P. Guyot-Sionnest, W. Chen, Y. R. Shen, "General considerations on optical second-harmonic generation from surfaces and interfaces," Phys. Rev. B 33, 8254-8263 (1986). [CrossRef]
  3. N. Bloembergen, R. K. Chang, S. S. Jha, C. H. Lee, "Optical Second-Harmonic Generation in Reflection from Media with Inversion Symmetry," Phys. Rev. 174, 813-822 (1968). [CrossRef]
  4. J. E. Sipe, V. Mizrahi, G. I. Stegeman, "Fundamental difficulty in the use of 2nd-harmonic generation as a strictly surface probe," Phys. Rev. B 35, 9091-9094 (1987). [CrossRef]
  5. P. Guyot-Sionnest and Y. R. Shen, "Local and nonlocal surface nonlinearities for surface optical 2nd-harmonic generation," Phys. Rev. B 35, 4420-4426 (1987). [CrossRef]
  6. P. Guyot-Sionnest and Y. R. Shen, "Bulk contribution in surface 2nd-harmonic generation," Phys. Rev. B 38, 7985-7989 (1988). [CrossRef]
  7. Y. R. Shen, "Surface contribution versus bulk contribution in surface nonlinear optical spectroscopy," Appl. Phys. B:Lasers Opt. 68, 295-300 (1999). [CrossRef]
  8. X. Wei, S.-C. Hong, A. I. Lvovsky, H. Held, Y. R. Shen, "Evaluation of surface vs bulk contributions in sum-frequency vibrational spectroscopy using reflection and transmission geometries," J. Phys. Chem. B 104, 3349-3354 (2000). [CrossRef]
  9. H. Held, A. I. Lvovsky, X. Wei, Y. R. Shen, "Bulk contribution from isotropic media in surface sum-frequency generation," Phys. Rev. B 66, 205110 (2002). [CrossRef]
  10. S. Cattaneo and M. Kauranen, "Polarization-based identification of bulk contributions in surface nonlinear optics," Phys. Rev. B 72, 033412 (2005). [CrossRef]
  11. S. Cattaneo and M. Kauranen, "Bulk versus surface contributions in nonlinear optics of isotropic centrosymmetric media," Phys. Status Solidi B 242, 3007-3011 (2005). [CrossRef]
  12. L. Sun, P. Figliozzi, Y. Q. An, M. C. Downer, W. L. Mochán, B. S. Mendoza, "Nonresonant quadrupolar second-harmonic generation in isotropic solids by use of two orthogonally polarized laser beams," Opt. Lett. 30, 2287-2289 (2005). [CrossRef] [PubMed]
  13. P. Figliozzi, L. Sun, Y. Jiang, N. Matlis, B. Mattern, M. C. Downer, S. P. Withrow, C. W. White, W. L. Mochán, B. S. Mendoza, "Single-beam and enhanced two-beam second-harmonic generation from silicon nanocrystals by use of spatially inhomogeneous femtosecond pulses," Phys. Rev. Lett. 94, 047401 (2005). [CrossRef] [PubMed]
  14. B. Koopmans, "Separation Problems in Optical Spectroscopies," Phys. Scr. T109, 80-88 (2004). [CrossRef]
  15. B. Koopmans, Interface and Bulk Contributions in Optical Second-Harmonic Generation (Ph.D. thesis, University of Groningen, 1993).
  16. S. Cattaneo, Two-Beam Surface Second-Harmonic Generation (Ph.D. thesis, Tampere University of Technology, 2004).
  17. J. E. Sipe, "New green-function formalism for surface optics," J. Opt. Soc. Am. B 4, 481-489 (1987). [CrossRef]
  18. 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. (Elsevier, Amsterdam, 1991), pp. 353-416.
  19. S. Cattaneo, M. Siltanen, F. X. Wang, M. Kauranen, "Suppression of nonlinear optical signals in finite interaction volumes of bulk materials," Opt. Express. 13, 9714-9720 (2005). [CrossRef] [PubMed]
  20. S. Cattaneo, E. Vuorimaa, H. Lemmetyinen, M. Kauranen, "Advantages of polarized two-beam second-harmonic generation in precise characterization of thin films," J. Chem. Phys. 120, 9245-9252 (2004). [CrossRef] [PubMed]
  21. W. Zhang, D. Zheng, Y. Xu, H. Bian, Y. Guo, H. Wang, "Reconsideration of second-harmonic generation from isotropic liquid interface: Broken Kleinman symmetry of neat air/water interface from dipolar contribution," J. Chem. Phys. 123, 224713 (2005). [CrossRef] [PubMed]
  22. R. W. Boyd, Nonlinear Optics (Academic Press, San Diego, 2003).
  23. M. Wohlfahrt, P. Strehlow, C. Enss, S. Hunklinger, "Magnetic-field effects in non-magnetic glasses," Europhys. Lett. 56, 690-694 (2001). [CrossRef]
  24. B. Koopmans, A. M. Janner, H. T. Jonkman, G. A. Sawatzky, F. van der Woude, "Strong bulk magnetic dipole induced second-harmonic generation from C-60," Phys. Rev. Lett. 71, 3569-3572 (1993). [CrossRef] [PubMed]
  25. S. L. Oliveira, S. C. Rand, "Intense nonlinear magnetic dipole radiation at optical frequencies: molecular scattering in a dielectric liquid," Phys. Rev. Lett. 98, 093901 (2007). [CrossRef] [PubMed]

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