Skip to main content
Log in

Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide

  • Atoms, Spectra, Radiation
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The influence of self-and cross-phase modulation on third-harmonic generation in a hollow waveguide is investigated. Analytic solutions of the coupled equations for the slowly varying amplitudes of the pump pulse and the third harmonic in a gas-filled hollow waveguide are obtained with consideration of self-and cross-phase modulation and first-order dispersion effects. The possibility of controlling the nonlinear phase trajectory of the third harmonic by cross-phase modulation is demonstrated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Reintjes, C.-Y. She, R. C. Eckardt, IEEE J. Quantum Electron. QE-14, 581 (1978).

    ADS  Google Scholar 

  2. J. Reintjes, Appl. Opt. 19, 3889 (1980).

    ADS  Google Scholar 

  3. J. Bokor, P. H. Bucksbaum, R. R. Freeman, Opt. Lett. 8, 217 (1983).

    ADS  Google Scholar 

  4. A. McPherson, G. Gibson, H. Jara et al., J. Opt. Soc. Am. B 4, 595 (1987).

    ADS  Google Scholar 

  5. M. Ferray, A. L’Huillier, X. F. Li et al., J. Phys. B 21, L31 (1988).

    Article  ADS  Google Scholar 

  6. X. F. Li, A. L. Huillier, M. Ferray et al., Phys. Rev. A 39, 5751 (1989).

    ADS  Google Scholar 

  7. P. Balcou, A. S. L. Gomes, C. Coruaggia et al., J. Phys. B 25, 4467 (1992).

    Article  ADS  Google Scholar 

  8. N. Sarukura, K. Hata, T. Adachi et al., Phys. Rev. A 43, 1669 (1991).

    Article  ADS  Google Scholar 

  9. A. L’Huillier and P. Balcou, Phys. Rev. Lett. 70, 774 (1993).

    ADS  Google Scholar 

  10. J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, Phys. Rev. Lett. 70, 766 (1993).

    Article  ADS  Google Scholar 

  11. J. K. Crane, M. D. Perry, S. Herman, and R. W. Falcone, Opt. Lett. 17, 1256 (1992).

    ADS  Google Scholar 

  12. K. Kondo, N. Sarukura, K. Sajiki, and S. Watanabe, Phys. Rev. A 47, 2480 (1993).

    Article  ADS  Google Scholar 

  13. C.-G. Wahlstrom, J. Larsson, A. Persson et al., Phys. Rev. A 48, 4709 (1993).

    ADS  Google Scholar 

  14. D. M. Mittleman, D. C. Douglass, Z. Henis et al., J. Opt. Soc. Am. B 13, 170 (1996).

    ADS  Google Scholar 

  15. C. Altucci, T. Starczewski, E. Mevel et al., J. Opt. Soc. Am. B 13, 148 (1996).

    ADS  Google Scholar 

  16. C. Spielmann, N. H. Burnett, S. Sartania et al., Science 278, 661 (1997).

    Article  ADS  Google Scholar 

  17. C. Spielmann, M. Schnuerer, N. H. Burnett et al., in Proceedings of the Conference on Lasers and Electro-Optics (CLEO’98), San Francisco, CA, 1998, (OSA Technical Digest Series, Vol. 6), Optical Society of America, Washington, DC (1998), p. 81.

    Google Scholar 

  18. S. M. Gladkov, A. M. Zheltikov, N. I. Koroteev, and A. B. Fedotov, Pis’ma Zh. Tekh. Fiz. 14, 1399 (1988) [Sov. Tech. Phys. Lett. 14, 610 (1988)].

    Google Scholar 

  19. A. B. Fedotov, S. M. Gladkov, N. I. Koroteev, and A. M. Zheltikov, J. Opt. Soc. Am. B 8, 373 (1991).

    ADS  Google Scholar 

  20. A. M. Zheltikov, N. I. Koroteev, and A. B. Fedotov, Opt. Spektrosk 72, 971 (1992) [Opt. Spectrosc. 72, 527 (1992)].

    Google Scholar 

  21. S. Kubodera, Y. Nagata, Y. Akiyama et al., Phys. Rev. A 48, 4576 (1993).

    Article  ADS  Google Scholar 

  22. A. M. Zheltikov, N. I. Koroteev, and A. B. Fedotov, Proc. SPIE 2097, 308 (1993).

    Google Scholar 

  23. A. M. Zheltikov, N. I. Koroteev, and A. B. Fedotov, Laser Phys. 4, 569 (1994).

    Google Scholar 

  24. A. B. Fedotov, N. I. Koroteev, and A. M. Zheltikov, Laser Phys. 5, 835 (1995).

    Google Scholar 

  25. W. Theobald, C. Wulker, F. P. Schafer, and B. N. Chichkov, Opt. Commun. 120, 177 (1995).

    Article  ADS  Google Scholar 

  26. D. von der Linde, T. Engers, G. Jenke et al., Phys. Rev. A 52, R25 (1995).

    ADS  Google Scholar 

  27. R. B. Miles, G. Laufer, and G. C. Bjorklund, Appl. Phys. Lett. 30, 417 (1977).

    Article  ADS  Google Scholar 

  28. M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996); M. Nisoli, S. De Silvestri, O. Svelto et al., Opt. Lett. 22, 522 (1997).

    ADS  Google Scholar 

  29. F. Giammanco, in Second International Symposium on Modern Problems of Laser Physics, Akademgorodok, Novosibirsk, 1997, Institute of Laser Physics, Russian Academy of Sciences, Akademgorodok, Novosibirsk (1997).

    Google Scholar 

  30. C. G. Durfee III, S. Backus, M. M. Murnane, and H. C. Kapteyn, Opt. Lett. 22, 1565 (1997).

    ADS  Google Scholar 

  31. N. Tamaki, O. Maya, K. Midorikawa, and M. Obara, in Proceedings of the Conference on Lasers and Electro-Optics (CLEO’98), San Francisco, CA, 1998, (OSA Technical Digest Series, Vol. 6), Optical Society of America, Washington, DC (1998), p. 83.

    Google Scholar 

  32. Z. Chang, A. Rundquist, H. Wang et al., Phys. Rev. Lett. 79, 2967 (1997).

    ADS  Google Scholar 

  33. C. G. Durfee III, A. Rundquist, Z. Chang et al., in International Quantum Electronic Conference (IQEC’98), San Francisco, CA, 1998, Postdeadline Papers, Optical Society of America, Washington, DC (1998), QPD5.

    Google Scholar 

  34. J. Gersten, R. Alfano, and M. Belic, Phys. Rev. A 21, 1222 (1980).

    ADS  Google Scholar 

  35. A. R. Chraplyvy, D. Marcuse, and P. S. Henry, IEEE J. Lightwave Technol. LT-2, 6 (1984).

    ADS  Google Scholar 

  36. R. Alfano, T. Jimbo, J. Manassah, and P. Ho, Opt. Lett. 11, 626 (1986).

    ADS  Google Scholar 

  37. R. Alfano, Q. Wang, T. Jimbo, and P. Ho, Phys. Rev. A 35, 459 (1987).

    Article  ADS  Google Scholar 

  38. R. Alfano, P. Baldeck, F. Raccah, and P. Ho, Appl. Opt. 26, 3491 (1987).

    ADS  Google Scholar 

  39. G. P. Agrawal, Nonlinear Fiber Optics, Academic Press, Boston (1989).

    Google Scholar 

  40. C. W. Siders, N. C. Turner III, M. C. Downer et al., J. Opt. Soc. Am. B 13, 330 (1996).

    ADS  Google Scholar 

  41. A. B. Fedotov, N. I. Koroteev, M. M. T. Loy et al., Opt. Commun. 133, 587 (1997).

    Article  ADS  Google Scholar 

  42. G. Tempea and T. Brabec, Opt. Lett. 23, 1286 (1998).

    ADS  Google Scholar 

  43. Y. R. Shen, The Principles of Nonlinear Optics, Wiley, New York (1984).

    Google Scholar 

  44. N. I. Koroteev and A. M. Zheltikov, Laser Phys. 8, 512 (1998).

    Google Scholar 

  45. N. I. Koroteev and A. M. Zheltikov, Appl. Phys. B 67, 53 (1998).

    Article  ADS  Google Scholar 

  46. E. A. J. Marcatili and R. A. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).

    Google Scholar 

  47. J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gases, Academic Press, Orlando (1984).

    Google Scholar 

  48. P. P. Ho, D. Ji, Q. Z. Wang, and R. R. Alfano, J. Opt. Soc. Am. B 7, 276 (1990).

    ADS  Google Scholar 

  49. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Kvantovaya Élektron. 15, 1941 (1988) [Sov. J. Quantum Electron. 18, 1211 (1988)].

    Google Scholar 

  50. G. P. Agrawal, P. L. Baldeck, and R. R. Alfano, Phys. Rev. A 40, 5063 (1989).

    Article  ADS  Google Scholar 

  51. R. F. de Souza, E. J. S. Fonseca, J. Miguel Hickmann, and A. S. Gouveia-Neto, Opt. Commun. 124, 79 (1996).

    Google Scholar 

  52. Landolt Bornstein Physikalisch-Chemische Tabellen, W. A. Roth and K. Scheel (Eds.), Verlag von Julius Springer, Berlin, Vol. 2 (1931), Vol. 3 (1935).

    Google Scholar 

  53. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femto-second Laser Pulses, AIP, New York (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 115, 1561–1579 (May 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zheltikov, A.M., Koroteev, N.I. & Naumov, A.N. Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide. J. Exp. Theor. Phys. 88, 857–867 (1999). https://doi.org/10.1134/1.558864

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558864

Keywords

Navigation