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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 21, Iss. 2 — Feb. 1, 2004
  • pp: 273–279

4f coherent imager system and its application to nonlinear optical measurements

Sudhir Cherukulappurath, Georges Boudebs, and André Monteil  »View Author Affiliations

JOSA B, Vol. 21, Issue 2, pp. 273-279 (2004)

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We present a powerful but simple technique based on a 4f coherent imager system with top-hat beams to characterize nonlinear optical properties. We describe the theoretical model and the experimental details of the measurement for materials having nonlinear refraction with or without nonlinear absorption. We show that it is possible to characterize the nonlinearities by analyzing the intensity profile of the image after nonlinear filtering through the material placed in the Fourier plane of the setup. We will show that, as in the Z-scan technique, the use of top-hat beams instead of Gaussian beams increases the sensitivity of the measurement. Intensity-dependent nonlinearities can be studied by use of this single laser-shot technique. We validate this nonlinear imaging technique by measuring the absolute value of the n2 coefficient for CS2 and some well-known chalcogenide glasses (As2S3,As2Se3,GeSe4, and Ge10As10Se80). Our values are in good agreement with those obtained by other techniques.

© 2004 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.6110) Fourier optics and signal processing : Spatial filtering
(190.0190) Nonlinear optics : Nonlinear optics

Sudhir Cherukulappurath, Georges Boudebs, and André Monteil, "4f coherent imager system and its application to nonlinear optical measurements," J. Opt. Soc. Am. B 21, 273-279 (2004)

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  1. G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003). [CrossRef]
  2. G. Boudebs, M. Chis, and X. Nguyen Phu, “Third-order sus- ceptibility measurement by a new Mach–Zehnder interferometry technique,” J. Opt. Soc. Am. B 18, 623–627 (2001). [CrossRef]
  3. G. Boudebs, F. Sanchez, C. Duverger, and B. Boulard, “Improvement of Mach–Zehnder interferometry technique for third-order susceptibility measurement,” Opt. Commun. 199, 257–265 (2001). [CrossRef]
  4. G. Boudebs, F. Sanchez, J. Troles, and F. Smektala, “Non- linear optical properties of chalcogenide glasses: comparison between Mach–Zehnder interferometry and Z-scan techniques,” Opt. Commun. 199, 425–433 (2001). [CrossRef]
  5. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. Hagan, and E. W. Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990). [CrossRef]
  6. F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, “Non-linear optical properties of chalcogenide glasses measured by Z-scan,” J. Non-Cryst. Solids 274, 232–237 (2000). [CrossRef]
  7. C. Quémard, “Propriétés optiques non linéaires de verres de chalcogénures en vue de leur application dans les technologies de commutation optique en télécommunications,” thèse (l’Université de Rennes 1, France, 2000).
  8. F. Smektala, C. Quémard, L. LeNeindre, J. Lucas, A. Barthélémy, and C. De Angelis, “Chalcogenide glasses with large non-linear refractive indices,” J. Non-Cryst. Solids 239, 139–142 (1998). [CrossRef]
  9. C. Quémard, F. Smektala, V. Couderc, A. Barthélémy, and J. Lucas, “Chalcogenide glasses with high non linear optical properties for telecommunications,” J. Phys. Chem. Solids 62, 1435–1440 (2001). [CrossRef]
  10. R. Adair, L. L. Chase, and S. A. Payne, “Nonlinear refractive-index measurements of glasses using three-wave frequency mixing,” J. Opt. Soc. Am. B 4, 875–881 (1987). [CrossRef]
  11. 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]
  12. 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]
  13. G. Boudebs, M. Chis, and A. Monteil, “Contrast increasing by third-order nonlinear image processing: a numerical study for microscopic rectangular objects,” Opt. Commun. 150, 287–296 (1998). [CrossRef]
  14. N. P. Xuan, J. L. Ferrier, J. Gazengel, G. Rivoire, G. L. Brekhovskhikh, A. D. Kudriavtseva, A. I. Sokolovskaia, and N. V. Tcherniega, “Changes in the space structures of light beams induced by nonlinear optical phenomena: application to phase contrast and image processing,” Opt. Commun. 68, 244–250 (1988). [CrossRef]
  15. W. Zhao and P. Palffy-Muhoray, “Z-scan technique using top-hat beams,” Appl. Phys. Lett. 63, 1613–1615 (1993). [CrossRef]
  16. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  17. Y. R. Shen, Nonlinear Optics (Wiley, New York, 1984), Chap. 3, pp. 42–50.
  18. J. A. Hermann, “Beam propagation and optical power limiting with nonlinear media,” J. Opt. Soc. Am. B 1, 729–736 (1984). [CrossRef]
  19. W. E. Williams, M. J. Soileau, and E. W. Stryland, “Optical switching and n2 measurements in CS2,” Opt. Commun. 50, 256–260 (1984). [CrossRef]
  20. A. Marcano, H. Maillote, D. Gindre, and D. Métin, “Picosecond nonlinear refraction measurement in single-beam open Z scan by charge-coupled device image processing,” Opt. Lett. 21, 101–103 (1996). [CrossRef]
  21. J. M. Harbold, F. Ö. Ilday, F. W. Wise, J. S. Sanghera, V. Q. Nguyen, L. B. Shaw, and I. D. Aggarwal, “Highly nonlinear As–S–Se glasses for all-optical switching,” Opt. Lett. 27, 119–121 (2002). [CrossRef]
  22. I. Kung, F. T. Krauss, and F. Wise, “Sensitive measurement of nonlinear refraction and two-photon absorption by spectrally resolved two-beam coupling,” Opt. Lett. 22, 1077–1079 (1997). [CrossRef]

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