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Optics Letters

Optics Letters


  • Vol. 25, Iss. 5 — Mar. 1, 2000
  • pp: 335–337

Critical power for self-focusing in bulk media and in hollow waveguides

Gadi Fibich and Alexander L. Gaeta  »View Author Affiliations

Optics Letters, Vol. 25, Issue 5, pp. 335-337 (2000)

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We determine the threshold power for self-focusing collapse both in a bulk medium and in a hollow-core waveguide for various spatial profiles. We find that the threshold power for collapse in the waveguide is always equal to the lower-bound prediction for a bulk medium.

© 2000 Optical Society of America

OCIS Codes
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(260.5950) Physical optics : Self-focusing

Gadi Fibich and Alexander L. Gaeta, "Critical power for self-focusing in bulk media and in hollow waveguides," Opt. Lett. 25, 335-337 (2000)

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  1. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995); E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996); O. Kosareva, V. P. Kandidov, A. Brodeur, C. Y. Chien, and S. L. Chin, Opt. Lett.OPLEDP 22, 1332 (1997); L. Wöste, C. Wedeknd, H. Wille, P. Rairoux, B. Stein, S. Nikolov, Ch. Werner, St. Niedermeier, F. Ronneberger, H. Schillinger, and R. Sauerbrey, Laser Optoelectron. 29, 51 (1997).
  2. C. G. Durfee, S. Backus, M. M. Murnane, and H. C. Kapteyn, Opt. Lett. 22, 1565 (1997); C. G. Durfee, S. Backus, H. C. Kapteyn, and M. M. Murnane, Opt. Lett. 22, 1565 (1999).
  3. M. Nisoli, S. De Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996); Opt. Lett. 22, 522 (1997); M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, Appl. Phys. B 65, 189 (1997).
  4. R. Chiao, E. Garmire, and C. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965); E. Dawes and J. Marburger, Phys. Rev. 179, 862 (1969); P. Chernev and V. Petrov, Opt. Lett. OPLEDP 17, 172 (1992).
  5. This expression is the same in both MKS and cgs units because n2 has units of inverse intensity.
  6. R. W. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992), Sec. 6.2.
  7. M. Weinstein, Commun. Math. Phys. 87, 567 (1983).
  8. G. Tempea and T. Brabec, Opt. Lett. 23, 762, 1286 (1998).
  9. G. Fibich and G. Papanicolaou, SIAM J. Applied Math 60, 183 (1999).
  10. J. Bjorkholm and A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
  11. V. Malkin, Physica D 64, 251 (1993).
  12. G. Fibich, Phys. Rev. Lett. 76, 4356 (1996).
  13. G. Fibich and G. Papanicolaou, Phys. Lett. A 239, 167 (1998).
  14. E. A. J. Marcatili and R. A. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
  15. G. Fibich, “Self-focusing in the damped nonlinear Schrödinger equation,” preprint (available at www.math.tau.ac.il/~fibich).

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