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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6397–6406

Polarization dependence of Z-scan measurement: theory and experiment

Xiao-Qing Yan, Zhi-Bo Liu, Xiao-Liang Zhang, Wen-Yuan Zhou, and Jian-Guo Tian  »View Author Affiliations

Optics Express, Vol. 17, Issue 8, pp. 6397-6406 (2009)

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Here we report on an extension of common Z-scan method to arbitrary polarized incidence light for measurements of anisotropic third-order nonlinear susceptibility in isotropic medium. The normalized transmittance formulas of closed-aperture Z-scan are obtained for linearly, elliptically and circularly polarized incidence beam. The theoretical analysis is examined experimentally by studying third-order nonlinear susceptibility of CS2 liquid. Results show that the elliptically polarized light Z-scan method can be used to measure simultaneously the two third-order nonlinear susceptibility components χxyyx (3) and χxxyy (3). Furthermore, the elliptically polarized light Z-scan measurements of large nonlinear phase shift are also analyzed theoretically and experimentally.

© 2009 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.4710) Nonlinear optics : Optical nonlinearities in organic materials

ToC Category:
Nonlinear Optics

Original Manuscript: February 4, 2009
Revised Manuscript: March 15, 2009
Manuscript Accepted: March 15, 2009
Published: April 2, 2009

Xiao-Qing Yan, Zhi-Bo Liu, Xiao-Liang Zhang, Wen-Yuan Zhou, and Jian-Guo Tian, "Polarization dependence of Z-scan measurement: theory and experiment," Opt. Express 17, 6397-6406 (2009)

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  1. I. Fuks-Janczarek, B. Sahraoui, I. V. Kityk, and J. Berdowski, "Electronic and nuclear contributions to the third-order optical susceptibility," Opt. Commun. 236, 159 (2004). [CrossRef]
  2. G. Boudebs, M. Chis, and J. P. Bourdin, "Third-order susceptibility measurements by nonlinear image processing," J. Opt. Soc. Am. B 13, 1450-1456 (1996). [CrossRef]
  3. P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964). [CrossRef]
  4. M. Lefkir and G. Rivoire, "Influence of transverse effects on measurement of third-order nonlinear susceptibility by self-induced polarization state changes," J. Opt. Soc. Am. B 14, 2856-2864 (1997). [CrossRef]
  5. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990). [CrossRef]
  6. P. B. Chapple, J. Straromlynska, J. A. Hermann, T. J. Mckay, and R. G. McDuff, ‘‘Single-beam Z-scan: measurement techniques and analysis,’’J. Nonlinear Opt. Phys. Mater. 6, 251-293 (1997). [CrossRef]
  7. E. W. Van Stryland and M. Sheik-Bahae, "Z-scan Measurements of Optical Nonlinearities," in Characterization Techniques and Tabulations for Organic Nonlinear Materials, M. G. Kuzyk and C. W. Dirk, eds., (Marcel Dekker, Inc.,1998), page 655-692.
  8. J. A. Hermann and R. G. McDuff, "Analysis of spatial scanning with thick optically nonlinear media," J. Opt. Soc. Am. B 10, 2056-2064 (1993). [CrossRef]
  9. J. G. Tian, W. P. Zang, C. Z. Zhang, and G. Y. Zhang, "Analysis of beam propagation in thick nonlinear media," Appl. Opt. 34, 4331-4336 (1995). [CrossRef] [PubMed]
  10. T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, "Eclipsing Z- Scan Measurement of ?/104 Wavefront Distortion," Opt. Lett. 19, 317-319 (1994). [CrossRef] [PubMed]
  11. J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. Van Stryland, "Time-Resolved Z-Scan Measurements of Optical Nonlinearities," J. Opt. Soc. Am. B 11, 1009-1017 (1994). [CrossRef]
  12. L. Demenicis, A. S. L. Gomes, D. V. Petrov, C.B. de Araújo, C. P. de Melo, C. G. dos Santos, and R. Souto-Maior, "Saturation effects in the nonlinear-optical susceptibility of poly(3-hexadecylthiophene)," J. Opt. Soc. Am. B 14, 609 (1997). [CrossRef]
  13. M. Sheik-Bahae, J. Wang, J.R. DeSalvo, D. J. Hagan and E. W. Van Stryland, "Measurement of Nondegenerate Nonlinearities using a 2-Color Z-Scan," Opt. Lett. 17, 258-260 (1992). [CrossRef] [PubMed]
  14. R. Bridges, G. Fischer, and R. Boyd, "Z-scan measurement technique for non-Gaussian beams and arbitrary sample thicknesses," Opt. Lett. 20, 1821-1823 (1995). [CrossRef] [PubMed]
  15. W. Zhao and P. Palffy-Muhoray, "Z-scan measurements of ?3 using top-hat beams," Appl. Phys. Lett. 65, 673-675 (1994). [CrossRef]
  16. R. DeSalvo, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. Van Stryland, "Z-scan measurements of the anisotropy of nonlinear refraction and absorption in crystals," Opt. Lett. 18, 194 (1993). [CrossRef] [PubMed]
  17. S. J. Wagner, J. Meier, A. S. Helmy, J. S. Aitchison, D. Modotto, M. Sorel, and D. C. Hutchings, "Polarization-Dependent Nonlinear Refraction in GaAs/AlAs Superlattice Waveguides," in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2006), paper FWE2.
  18. J. Liang, H. Zhao, and X. Zhou, "Polarization-dependence effects of refractive index change associated with photoisomerization investigated with Z-scan technique," J. Appl. Phys. 101, 013106 (2007). [CrossRef]
  19. R. W. Boyd, Nonlinear Optics, 2nd ed., (Academic Press, San Diego, 2003).
  20. Z. B. Liu, X. Q. Yan, J. G. Tian, W. Y. Zhou, and W. P. Zang. "Nonlinear ellipse rotation modified Z -scan measurements of third-order nonlinear susceptibility tensor," Opt. Express 15, 13351 (2007). [CrossRef]
  21. Z. B. Liu, X. Q. Yan, W. Y. Zhou, and J. G. Tian, "Evolutions of polarization and nonlinearities in an isotropic nonlinear medium," Opt. Express 16, 8144 (2008). [CrossRef] [PubMed]
  22. S. Q. Chen, Z. B. Liu, W. P. Zang, J. G. Tian, W. Y. Zhou, F. Song, and C. P. Zhang, "Study on Z-scan characteristics for a large nonlinear phase shift," J. Opt. Soc. Am. B 22, 1911 (1997). [CrossRef]
  23. Z. B. Liu, Y. L. Liu, B. Zhang, W. Y. Zhou, J. G. Tian, W. P. Zang, and C. P. Zhang, "Nonlinear absorption and optical limiting properties of carbon disulfide in a short-wavelength region," J. Opt. Soc. Am. B 24, 1101 (2007). [CrossRef]
  24. K. Kiyohara, K. Kamada, and K. Ohta, "Orientational and collision-induced contribution to third-order nonlinear optical response of liquid CS2," J. Chem. Phys. 112, 6338 (2000). [CrossRef]
  25. R. L. Sutherland, Handbook of Nonlinear Optics (Second Edition); (Marcel Dekker: New York, 2003).
  26. R. Volle, V. Boucher, K. D. Dorkenoo, R. Chevalier and X. N. Phu, "Local polarization state observation and third-order nonlinear susceptibility measurements by self-induced polarization state changes method," Opt. Commun. 182, 443 (2000). [CrossRef]
  27. R.A. Ganeev, A.I. Ryasnyansky, M. Suzuki, N. Ishizawa, M. Turu, S. Sakakibara, and H. Kuroda, "Nonlinear refraction in CS2," Appl. Phys. B 78, 433 (2004). [CrossRef]
  28. http://en.wikipedia.org/wiki/CS2
  29. B. Gu, J. Chen, Y. Fan, J. Ding, and H. Wang, "Theory of Gaussian beam Z scan with simultaneous third- and fifth-order nonlinear refraction based on a Gaussian decomposition method," J. Opt. Soc. Am. B 22, 2651-2659 (2005). [CrossRef]
  30. R. A. Ganeev, M. Baba, M. Morita, A. I Ryasnyansky, M. Suzuki, M. Turu, and H. Kuroda, "Fifth-order optical nonlinearity of pseudoisocyanine solution at 529 nm," J. Opt. A: Pure Appl. Opt. 6, 282-287 (2004). [CrossRef]

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