OSA's Digital Library

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)
http://dx.doi.org/10.1364/OE.17.006397


View Full Text Article

Enhanced HTML    Acrobat PDF (278 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-8-6397


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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]

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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited