OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 609–614

Optimization of a dual-rotating-retarder polarimeter designed for hyper-Rayleigh scattering

Paul Lemaillet, Fabrice Pellen, Sylvain Rivet, Bernard Le Jeune, and Jack Cariou  »View Author Affiliations

JOSA B, Vol. 24, Issue 3, pp. 609-614 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (534 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Hyper-Rayleigh scattering is frequently used to determine all of the rotational invariants of the first hyperpolarizability tensor. It requires numerous polarization states of both incident and scattered light and thus justifies the use of a dual-rotating-retarder polarimeter. We optimized our experimental setup by reducing the condition number of the polarization processing matrix. Our numerical study showed that, on condition to make six measurements, the choice of the detector angle and of the angular steps of both retarders was paramount. Overspecifying the calculation through a much higher number of measurements allowed us to make broad optimal detector angles and retarder angular steps available. Numerical simulations are presented to optimize our experimental setup.

© 2007 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(160.4330) Materials : Nonlinear optical materials
(190.0190) Nonlinear optics : Nonlinear optics
(190.4400) Nonlinear optics : Nonlinear optics, materials
(230.5440) Optical devices : Polarization-selective devices
(290.5840) Scattering : Scattering, molecules

ToC Category:
Nonlinear Optics

Original Manuscript: July 14, 2006
Revised Manuscript: October 6, 2006
Manuscript Accepted: October 25, 2006
Published: February 15, 2007

Paul Lemaillet, Fabrice Pellen, Sylvain Rivet, Bernard Le Jeune, and Jack Cariou, "Optimization of a dual-rotating-retarder polarimeter designed for hyper-Rayleigh scattering," J. Opt. Soc. Am. B 24, 609-614 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Giordmaine, "Nonlinear optical properties of liquid," Phys. Rev. 138, A1599-A1606 (1965). [CrossRef]
  2. B. Levine and C. Bethea, "Second and third order hyperpolarizabilities of organic molecules," J. Chem. Phys. 63, 2666-2682 (1975). [CrossRef]
  3. J. Zyss and I. Ledoux, "Nonlinear optics in multipolar media: theory and experiments," Chem. Rev. (Washington, D.C.) 94, 77-105 (1994). [CrossRef]
  4. R. Terhune, P. Maker, and C. Savage, "Measurements of nonlinear light scattering," Phys. Rev. Lett. 14, 681-684 (1965). [CrossRef]
  5. G. Heesink, A. Ruiter, N. van Hulst, and B. Bölger, "Determination of hyperpolarizability measurements by depolarized hyper-Rayleigh scattering," Phys. Rev. Lett. 71, 999-1002 (1993). [CrossRef] [PubMed]
  6. D. Kleinman, "Nonlinear dielectric polarization in optical media," Phys. Rev. 126, 1977-1979 (1962). [CrossRef]
  7. M. Kauranen and A. Persoons, "Theory of polarization measurements of second-order nonlinear light scattering," J. Chem. Phys. 104, 3445-3456 (1996). [CrossRef]
  8. S. F. Hubbard, R. G. Petschek, K. D. Singer, N. D'Sidocky, C. Hudson, L. C. Chien, C. C. Henderson, and P. A. Cahill, "Measurements of Kleinman-disallowed hyperpolarizability in conjugated chiral molecules," J. Opt. Soc. Am. B 15, 289-301 (1998). [CrossRef]
  9. R. Azzam, "Photopolarimetric measurement of the Mueller matrix by Fourier analysis of a single detected signal," Opt. Lett. 2, 148-150 (1977). [CrossRef]
  10. V. Ostroverkhov, R. G. Petschek, K. D. Singer, L. Sukhomlinova, R. J. Twieg, S.-X. Wang, and L. C. Chien, "Measurements of the hyperpolarizability tensor by means of hyper-Rayleigh scattering," J. Opt. Soc. Am. B 17, 1531-1542 (2000). [CrossRef]
  11. E. Issacson and H. B. Keller, Analysis of Numerical Methods (Wiley, 1966).
  12. G. Golub and C. V. Loan, Matrix Computations, 3rd ed. (Johns Hopkins U. Press, 1996).
  13. M. Smith, "Optimization of a dual-rotating-retarder Mueller matrix polarimeter," Appl. Opt. 41, 2488-2493 (2002). [CrossRef] [PubMed]
  14. J. Delmas, Introduction aux Probabilités (Ed. Ellipses, 1993).
  15. J. Tyo, "Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters," Opt. Lett. 25, 1198-1200 (2000). [CrossRef]
  16. D. Sabatke, M. Descour, E. Dereniak, W. Sweatt, S. Kemme, and G. Phipps, "Optimization of retardance for a complete Stokes polarimeter," Opt. Lett. 25, 802-804 (2000). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited