OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1620–1626

Unique determination of the hyperpolarizability tensor ratio through depolarized hyper-Rayleigh scattering under an external electric field

Jisoo Hwang, Byoungchoo Park, H. J. Chang, and J. W. Wu  »View Author Affiliations

JOSA B, Vol. 19, Issue 7, pp. 1620-1626 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (169 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have analyzed the depolarized hyper-Rayleigh scattering from a molecular system with partial macroscopic polar ordering. It is shown that the hyperpolarizability tensor ratio and the molecular dipole moment can be determined simultaneously by the measurement of depolarization as a function of external field strength. As an experimental example, we performed a quantitative analysis of the electric-field-dependent depolarized hyper-Rayleigh signal from a poly-γ-benzyl-l-glutamate solution, obtaining the dipole moment and the ratio of hyperpolarizability components as 4.0 D and β311/β333=-0.81, respectively.

© 2002 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4710) Nonlinear optics : Optical nonlinearities in organic materials
(290.5870) Scattering : Scattering, Rayleigh

Jisoo Hwang, Byoungchoo Park, H. J. Chang, and J. W. Wu, "Unique determination of the hyperpolarizability tensor ratio through depolarized hyper-Rayleigh scattering under an external electric field," J. Opt. Soc. Am. B 19, 1620-1626 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. Clays and A. Persoons, “Hyper-Rayleigh scattering in solution,” Phys. Rev. Lett. 66, 2980–2983 (1991). [CrossRef] [PubMed]
  2. G. J. T. Heesink, A. G. Ruiter, N. F. van Hulst, and B. Boelger, “Determination of hyperpolarizability tensor components by depolarized hyper Rayleigh scattering,” Phys. Rev. Lett. 71, 999–1002 (1993). [CrossRef] [PubMed]
  3. T. Verbiest, M. Kauranen, and A. Persoon, “Parametric light scattering,” J. Chem. Phys. 101, 1745–1747 (1994). [CrossRef]
  4. R. Bersohn, Y.-H. Pao, and H. L. Frisch, “Double-quantum light scattering by molecules,” J. Chem. Phys. 45, 3184–3198 (1966). [CrossRef]
  5. S. J. Cyvin, J. E. Rauch, and J. C. Decius, “Theory of hyper-Raman effects (nonlinear inelastic light scattering): selection rules and depolarization ratios for the second-order polarizability,” J. Chem. Phys. 43, 4083–4095 (1965). [CrossRef]
  6. B. F. Levine and C. G. Bethea, “Second and third order hy-perpolarizabilities of organic molecules,” J. Chem. Phys. 63, 2666–2682 (1975). [CrossRef]
  7. M. Joffre, D. Yaron, and R. J. Silbey, “Second order optical nonlinearity in octupolar aromatic systems,” J. Chem. Phys. 97, 5607–5615 (1992). [CrossRef]
  8. B. F. Levine and C. G. Bethea, “Second order hyperpolarizability of a polypeptide α-helix: poly-γ-benzyl-L-glutamate,” J. Chem. Phys. 65, 1989–1993 (1976). [CrossRef]
  9. J. Zyss, “Octupolar organic systems in quadratic nonlinear optics: molecules and materials,” Nonlinear Opt. 1, 3–18 (1991).
  10. T. Verbiest, K. Clays, A. Persoons, F. Meyers, and J. L. Breda, “Determination of the hyperpolarizability of an octopolar molecular ion by hyper-Rayleigh scattering,” Opt. Lett. 18, 525–527 (1993). [CrossRef] [PubMed]
  11. W. M. Laidlaw, R. G. Denning, T. Verbiest, E. Chauchard, and A. Persoons, “Large second-order optical polarizabilities in mixed-valency metal complexes,” Nature 363, 58–60 (1993). [CrossRef]
  12. K. D. Singer, J. E. Sohn, L. A. King, H. M. Gordon, H. E. Katz, and C. W. Dirk, “Second-order nonlinear-optical properties of donor- and acceptor-substituted aromatic compounds,” J. Opt. Soc. Am. B 6, 1339–1350 (1989). [CrossRef]
  13. R. W. Terhune, P. D. Maker, and C. M. Savage, “Measurements of nonlinear light scattering,” Phys. Rev. Lett. 14, 681–684 (1965). [CrossRef]
  14. J. W. Wu, “Birefringent and electro-optic effects in poled polymer films: steady-state and transient properties,” J. Opt. Soc. Am. B 8, 142–152 (1991). [CrossRef]
  15. J. Watanabe, Y. Hirose, M. Tokita, T. Watanabe, and S. Miyata, “Polar structure in polypeptide cholesteric liquid crystals evidenced from observation of second-harmonic generation due to the helicoidal cavity effect,” Macromolecules 31, 5937–5939 (1998). [CrossRef]
  16. D. S. Chemla and J. Zyss, Nonlinear Optical Properties of Organic Molecules and Crystals (Academic, Orlando, Fla., 1987).
  17. D. R. Lide, Handbook of Organic Solvents (CRC Press, New York, 1995).
  18. B. Park, Y. Kinoshita, H. Takezoe, and J. Watanabe, “Ferroelectricity in the lyotropic cholesteric phase of poly L-glutamate,” Jpn. J. Appl. Phys. 37, L136–L138 (1998). [CrossRef]
  19. B. Park, J. W. Wu, and H. Takezoe, “Generalized mean-field potential description for ferroelectric ordering in nematic liquid crystals,” Phys. Rev. E 63, 21707–1–21707–7 (2001). [CrossRef]

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.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited