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Optics Express

Optics Express

  • Editor: Micha
  • Vol. 13, Iss. 23 — Nov. 14, 2005
  • pp: 9230–9234

Z-scan theory for material with two- and three-photon absorption

Bing Gu, Jin Wang, Jing Chen, Ya-Xian Fan, Jianping Ding, and Hui-Tian Wang  »View Author Affiliations

Optics Express, Vol. 13, Issue 23, pp. 9230-9234 (2005)

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We present a theoretical study on the Z-scan characteristics of thin nonlinear optical media with simultaneous two- and three-photon absorption, a situation that exists, for example, in polydiacetylenes. With the introduction of a coupling function between two- and three-photon absorption, we find a quasi-analytic expression for open aperture Z-scan traces. We make a comparison of the analytic solutions with numerical solutions in detail, showing that they are in good agreement. This theoretical result allows us to easily identify and determine simultaneously the two-and three-photon absorption coefficients from the open aperture Z-scan traces.

© 2005 Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Research Papers

Original Manuscript: September 26, 2005
Revised Manuscript: October 28, 2005
Published: November 14, 2005

Bing Gu, Jin Wang, Jing Chen, Ya-Xian Fan, Jianping Ding, and Hui-Tian Wang, "Z-scan theory for material with two- and three-photon absorption," Opt. Express 13, 9230-9234 (2005)

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  1. R. L. Sutherland, Handbook of Nonlinear Optics, (Marcel Dekker, New York, 1996).
  2. G. S. Maciel, N. Rakov, Cid B. de Araujo, A. A. Lipovskii, and D. K. Tagantsev, �??Optical limiting behavior of a glass-ceramic containing sodium niobate crystallites,�?? Appl. Phys. Lett. 79, 584-586 (2001). [CrossRef]
  3. G. S. He, P. P. Markowicz, T. C. Lin, and P. N. Prasad, �??Observation of stimulated emission by direct three-photon excitation,�?? Nature 415, 767-770 (2002). [CrossRef] [PubMed]
  4. F. Yoshino, S. Polyakov, M. Liu, and G. Stegeman, �??Observation of three-photon enhanced four-photon absorption,�?? Phys. Rev. Lett. 91, 063902 (2003). [CrossRef] [PubMed]
  5. S. Polyakov, F. Yoshino, M. Liu, and G. Stegeman, �??Nonlinear refraction and multiphoton absorption in polydiacetylenes from 1200 to 2200 nm,�?? Phys. Rev. B. 69, 115421 (2004). [CrossRef]
  6. K. S. Bindra, H. T. Bookey, A. K. Kar, B. S. Wherrett, X. Liu, and A. Jha, �??Nonlinear optical properties of chalcogenide glasses: observation of multiphoton absorption,�?? Appl. Phys. Lett. 79, 1939-1941 (2001). [CrossRef]
  7. R. A. Ganeev, A. I. Ryasnyansky, N. Ishizawa, M. Baba, M. Suzuki, M. Turu, S. Sakakibara, and H. Kuroda, �??Two- and three-photon absorption in CS2,�?? Opt. Commun. 231, 431-436(2004). [CrossRef]
  8. 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]
  9. Mathematica 4.0, (Wolfram Research, Inc., 1999).
  10. G. Boudebs, S. Cherukulappurath, M. Guignard, J. Troles, F. Smektala, and F. Sanchez, �??Experimental observation of higher order nonlinear absorption in tellurium based chalcogenide glasses,�?? Opt. Commun. 232, 417-423 (2004). [CrossRef]
  11. S. Cherukulappurath, J. L. Godet and G. Boudebs, �??Higher order coefficient measurements in nonlinear absorption process,�?? J. Nonlin. Opt. Phys. & Mater. 14, 49-60 (2005). [CrossRef]

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