Table of Contents
Physics Research International
Volume 2012 (2012), Article ID 161572, 9 pages
http://dx.doi.org/10.1155/2012/161572
Research Article

Closed-Aperture Z-Scan Analysis for Nonlinear Media with Saturable Absorption and Simultaneous Third- and Fifth-Order Nonlinear Refraction

1Department of Engineering Science, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan
2Research Institute for Electronic Science, Hokkaido University, Souseitou, Kita 21, Nishi 10, Kita-ku, Sapporo 001-0021, Japan

Received 11 May 2012; Accepted 9 July 2012

Academic Editor: Michael R. Gleeson

Copyright © 2012 Xiangming Liu and Yasuo Tomita. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. 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 Journal of Quantum Electronics, vol. 26, no. 4, pp. 760–769, 1990. View at Publisher · View at Google Scholar · View at Scopus
  2. R. L. Sutherland, Handbook of Nonlinear Optics, Marcel Dekker, New York, NY, USA, 2nd edition, 2003.
  3. B. Gu, J. Wang, J. Chen, Y. X. Fan, J. Ding, and H. T. Wang, “Z-scan theory for material with two- and three-photon absorption,” Optics Express, vol. 13, no. 23, pp. 9230–9234, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. B. Gu, Y. X. Fan, J. Wang et al., “Characterization of saturable absorbers using an open-aperture Gaussian-beam Z scan,” Physical Review A, vol. 73, no. 6, Article ID 065803, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Tsigaridas, M. Fakis, I. Polyzos, M. Tsibouri, P. Persephonis, and V. Giannetas, “Z-scan analysis for near-Gaussian beams through Hermite-Gaussian decomposition,” Journal of the Optical Society of America B, vol. 20, no. 4, pp. 670–676, 2003. View at Google Scholar · View at Scopus
  6. G. Tsigaridas, M. Fakis, I. Polyzos, P. Persephonis, and V. Giannetas, “Z-scan analysis for high order nonlinearities through Gaussian decomposition,” Optics Communications, vol. 225, no. 4–6, pp. 253–268, 2003. View at Publisher · View at Google Scholar · View at Scopus
  7. Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Optics Communications, vol. 219, no. 1–6, pp. 411–419, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. B. Gu, X. C. Peng, T. Jia, J. P. Ding, J. L. He, and H. T. Wang, “Determinations of third- and fifth-order nonlinearities by the use of the top-hat-beam Z scan: theory and experiment,” Journal of the Optical Society of America B, vol. 22, no. 2, pp. 446–452, 2005. View at Publisher · View at Google Scholar · View at Scopus
  9. B. Gu, J. Chen, Y. X. Fan, J. Ding, and H. T. Wang, “Theory of Gaussian beam Z scan with simultaneous third- and fifth-order nonlinear refraction based on a Gaussian decomposition method,” Journal of the Optical Society of America B, vol. 22, no. 12, pp. 2651–2659, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. X. Liu, Y. Tomita, J. Oshima et al., “Holographic assembly of semiconductor CdSe quantum dots in polymer for volume Bragg grating structures with diffraction efficiency near 100%,” Applied Physics Letters, vol. 95, no. 26, Article ID 261109, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. X. Liu, Y. Tomita, J. Oshima, T. Nakashima, and T. Kawai, “High-order nonlinear optical response of a polymer nanocomposite film incorporating semiconducotor CdSe quantum dots,” Optics Express, vol. 20, pp. 13457–13469, 2012. View at Google Scholar
  12. Y. Tomita, N. Suzuki, and K. Chikama, “Holographic manipulation of nanoparticle distribution morphology in nanoparticle-dispersed photopolymers,” Optics Letters, vol. 30, no. 8, pp. 839–841, 2005. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. Tomita, “Holographic manipulation of nanoparticle-distribution morphology in photopolymers and its applications to volume holographic recording and nonlinear photonic crystals,” in Proceedings of the OSA Trends in Optics and Photonics Series (TOPS '05), vol. 99, pp. 274–280, July 2005. View at Scopus
  14. R. E. Slusher and B. J. Eggleton, Nonlinear Photonic Crystals, Springer, Berlin, Germany, 2003.
  15. Y. Kayanuma, “Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape,” Physical Review B, vol. 38, no. 14, pp. 9797–9805, 1988. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Schmitt-Rink, D. A. B. Miller, and D. S. Chemla, “Theory of the linear and nonlinear optical properties of semiconductor microcrystallites,” Physical Review B, vol. 35, no. 15, pp. 8113–8125, 1987. View at Publisher · View at Google Scholar · View at Scopus
  17. G. Banfi, V. Degiorgio, and D. Ricard, “Nonlinear optical properties of semiconductor nanocrystals,” Advances in Physics, vol. 47, no. 3, pp. 447–510, 1998. View at Google Scholar · View at Scopus
  18. L. H. Acioli, A. S. L. Gomes, and J. R. R. Leite, “Measurement of high-order optical nonlinear susceptibilities in semiconductor-doped glasses,” Applied Physics Letters, vol. 53, no. 19, pp. 1788–1790, 1988. View at Publisher · View at Google Scholar · View at Scopus
  19. G. Banfi, V. Degiorgio, and H. M. Tan, “Optical nonlinearity of semiconductor-doped glasses at frequencies below the band gap: the role of free carriers,” Journal of the Optical Society of America B, vol. 12, no. 4, pp. 621–628, 1995. View at Google Scholar · View at Scopus
  20. K. S. Bindra and A. K. Kar, “Role of femtosecond pulses in distinguishing third- and fifth-order nonlinearity for semiconductor-doped glasses,” Applied Physics Letters, vol. 79, no. 23, pp. 3761–3763, 2001. View at Publisher · View at Google Scholar · View at Scopus
  21. I. Dancus, V. I. Vlad, A. Petris, N. Gaponik, V. Lesnyak, and A. Eychmüller, “Saturated near-resonant refractive optical nonlinearity in CdTe quantum dots,” Optics Letters, vol. 35, no. 7, pp. 1079–1081, 2010. View at Google Scholar · View at Scopus
  22. Y. F. Chen, K. Beckwitt, F. W. Wise, B. G. Aitken, J. S. Sanghera, and I. D. Aggarwal, “Measurement of fifth- and seventh-order nonlinearities of glasses,” Journal of the Optical Society of America B, vol. 23, no. 2, pp. 347–352, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. G. Adomian, “A review of the decomposition method in applied mathematics,” Journal of Mathematical Analysis and Applications, vol. 135, no. 2, pp. 501–544, 1988. View at Google Scholar · View at Scopus
  24. C. Burda, S. Link, T. C. Green, and M. A. El-Sayed, “New transient absorption observed in the spectrum of colloidal CdSe nanoparticles pumped with high-power femtosecond pulses,” Journal of Physical Chemistry B, vol. 103, no. 49, pp. 10775–10780, 1999. View at Google Scholar · View at Scopus
  25. M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, and E. W. Van Stryland, “Dispersion of bound electronic nonlinear refraction in solids,” IEEE Journal of Quantum Electronics, vol. 27, no. 6, pp. 1296–1309, 1991. View at Publisher · View at Google Scholar · View at Scopus
  26. C. Gan, Y. Zhang, S. W. Liu, Y. Wang, and M. Xiao, “Linear and nonlinear optical refractions of CR39 composite with CdSe nanocrystals,” Optical Materials, vol. 30, no. 9, pp. 1440–1445, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. K. Dolgaleva, H. Shin, and R. W. Boyd, “Observation of a microscopic cascaded contribution to the fifth-order nonlinear susceptibility,” Physical Review Letters, vol. 103, no. 11, Article ID 113902, 2009. View at Publisher · View at Google Scholar · View at Scopus