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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 20, Iss. 6 — Jun. 1, 2003
  • pp: 1227–1232

Dispersion curves of complex third-order optical susceptibilities around the surface plasmon resonance in Ag nanocrystal–glass composites

Yasushi Hamanaka, Arao Nakamura, Nobuhiro Hayashi, and Shigeaki Omi  »View Author Affiliations

JOSA B, Vol. 20, Issue 6, pp. 1227-1232 (2003)

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We have investigated dispersion curves of a third-order nonlinear optical susceptibility, χ(3), around the surface-plasmon resonance energy for a Ag nanocrystal–glass composite by means of z-scan and degenerate four-wave mixing measurements. Real and imaginary parts of χ(3) of the composite that contains Ag nanocrystals with an average diameter of 7 nm have been measured at room temperature. The imaginary part of χ(3) exhibits a negative peak near the surface-plasmon resonance, and the largest negative value is -(1.5±0.2)×10-10 electrostatic units (esu). The real part of χ(3) changes from -(4±2)×10-11 esu at the lower energy side of the surface-plasmon peak to +(4.4±0.5)×10-11 esu at the higher energy side. We calculated dispersion curves for the composite assuming that the real and the imaginary parts of the dielectric constant of metal nanocrystals change by optical excitations that are due to the creation of hot electrons. The obtained dispersion curves show a characteristic feature that differs from the exciton system in semiconductors.

© 2003 Optical Society of America

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(190.3970) Nonlinear optics : Microparticle nonlinear optics
(190.4720) Nonlinear optics : Optical nonlinearities of condensed matter
(240.6680) Optics at surfaces : Surface plasmons
(300.6420) Spectroscopy : Spectroscopy, nonlinear
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

Yasushi Hamanaka, Arao Nakamura, Nobuhiro Hayashi, and Shigeaki Omi, "Dispersion curves of complex third-order optical susceptibilities around the surface plasmon resonance in Ag nanocrystal–glass composites," J. Opt. Soc. Am. B 20, 1227-1232 (2003)

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  1. F. Hache, D. Ricard, and C. Flytzanis, “Optical nonlinearities of small metal particles: surface-mediated resonance and quantum size effects,” J. Opt. Soc. Am. B 3, 1647–1655 (1986). [CrossRef]
  2. M. J. Bloemer, J. W. Haus, and P. R. Ashley, “Degenerate four-wave mixing in colloidal gold as a function of particle size,” J. Opt. Soc. Am. B 7, 790–795 (1990). [CrossRef]
  3. K. Uchida, S. Kaneko, S. Omi, C. Hata, H. Tanji, Y. Asahara, A. J. Ikushima, T. Tokizaki, and A. Nakamura, “Optical nonlinearities of a high concentration of small metal particles dispersed in glass: copper and silver particles,” J. Opt. Soc. Am. B 11, 1236–1243 (1994). [CrossRef]
  4. T. Tokizaki, A. Nakamura, S. Kaneko, K. Uchida, S. Omi, H. Tanji, and Y. Asahara, “Subpicosecond time response of third-order optical nonlinearity of small copper particles in glass,” Appl. Phys. Lett. 65, 941–943 (1994). [CrossRef]
  5. T. S. Ahmadi, S. L. Logunov, and M. A. El-Sayed, “Picosecond dynamics of colloidal gold nanoparticles,” J. Phys. Chem. 100, 8053–8056 (1996). [CrossRef]
  6. M. Perner, P. Bost, U. Lemmer, G. von Plessen, J. Feldman, U. Becker, M. Mennig, M. Schmitt, and H. Schmidt, “Optically induced damping of the surface plasmon resonance in gold colloids,” Phys. Rev. Lett. 78, 2192–2195 (1997). [CrossRef]
  7. J. H. Hodak, A. Henglein, and G. V. Hartland, “Photophysics of nanometer sized metal particles: electron-phonon coupling and coherent excitation of breathing vibrational modes,” J. Phys. Chem. B 104, 9954–9965 (2000). [CrossRef]
  8. Y. Hamanaka, J. Kuwabata, I. Tanahashi, S. Omi, and A. Nakamura, “Ultrafast electron relaxation via breathing vibration of gold nanocrystals embedded in a dielectric medium,” Phys. Rev. B 63, 104302 (2001). [CrossRef]
  9. V. Halté, J. Y. Bigot, B. Palpant, M. Broyer, B. Prével, and A. Pérez, “Size dependence of the energy relaxation in silver nanoparticles embedded in dielectric matrices,” Appl. Phys. Lett. 75, 3799–3801 (1999). [CrossRef]
  10. R. F. Haglund, Jr., L. Yang, R. H. Magruder III, J. E. Witting, K. Becker, and R. A. Zhur, “Picosecond nonlinear optical response of a Cu:silica nanocluster composite,” Appl. Phys. Lett. 18, 373–375 (1993).
  11. R. H. Magruder III, R. F. Haglund, Jr., L. Yang, J. E. Wittig, and R. A. Zhur, “Physical and optical properties of Cu nanoclusters fabricated by ion implantation in fused silica,” J. Appl. Phys. 76, 708–715 (1994). [CrossRef]
  12. S. Debrus, J. Lafait, M. May, N. Pinçon, D. Prot, C. Sella, and J. Venturini, “Z-scan determination of the third-order optical nonlinearity of gold:silica nanocomposites,” J. Appl. Phys. 88, 4469–4475 (2000). [CrossRef]
  13. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer-Verlag, Berlin, 1995).
  14. 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]
  15. G. Battaglin, P. Calvelli, E. Cattaruzza, F. Gonella, R. Polloni, G. Mattei, and P. Mazzoldi, “Z-scan study on the nonlinear refractive index of copper nanocluster composite silica glass,” Appl. Phys. Lett. 78, 3953–3955 (2001). [CrossRef]
  16. R. de Nalda, R. del Coso, J. Requejo-Isidro, J. Olivares, A. Suarez-Garcia, J. Solis, and C. N. Afonso, “Limits to the determination of the nonlinear refractive index by the Z-scan method,” J. Opt. Soc. Am. B 19, 289–296 (2002). [CrossRef]
  17. Y. Hamanaka, A. Nakamura, S. Omi, N. Del Fatti, F. Vallée, and C. Flytzanis, “Ultrafast response of nonlinear refractive index of silver nanocrystals embedded in glass,” Appl. Phys. Lett. 75, 1712–1714 (1999). [CrossRef]
  18. P. B. Chapple, J. Staromlynska, 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]
  19. M. J. Weber, CRC Handbook of Laser Science and Technology (CRC Press, Boca Raton, Fla., 1986), Vol. 3.
  20. P. N. Butcher and D. Cotter, Elements of Nonlinear Optics, Vol. 9 of Cambridge Studies in Modern Optics (Cambridge University Press, Cambridge, England, 1990).
  21. D. Ricard, P. Rousignol, and C. Flytzanis, “Surface-mediated enhancement of optical phase conjugation in metal colloids,” Opt. Lett. 10, 511–513 (1985). [CrossRef] [PubMed]
  22. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972). [CrossRef]
  23. T. Takagahara, “Excitonic optical nonlinearity and exciton dynamics in semiconductor quantum dots,” Phys. Rev. B 36, 9293–9296 (1987). [CrossRef]

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