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Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers

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Abstract

Ultrashort pulse propagation and supercontinuum generation in tapered and microstructured optical fibers is usually simulated using the corrected nonlinear Schrödinger equation. One of the underlying approximations is the use of a wavelength-independent effective area or, equivalently, of a constant nonlinear coefficient γ. In very thin waveguide structures with strong light confinement, including silica wires and sub-micron tapered fibers and some microstructured fibers, the validity of such an approximation comes into question. In this paper we present an improved model in which all modal properties are fully taken into account as functions of the wavelength. We use comparative numerical simulation to identify certain regimes in which an improved model is needed for quantitatively correct results.

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References

  1. J.C. Knight, T.A. Birks, P.S.J. Russell, D.M. Atkin: Opt. Lett. 21, 1547 (1996)

    Article  ADS  Google Scholar 

  2. X. Liu, C. Xu, W.H. Knox, J.K. Chandalia, B.J. Eggleton, S.G. Kosinski, R.S. Windeler: Opt. Lett. 26, 358 (2001)

    Article  ADS  Google Scholar 

  3. T.A. Birks, W.J. Wadsworth, P.S.J. Russell: Opt. Lett. 25, 1415 (2000)

    Article  ADS  Google Scholar 

  4. A.V. Husakou, J. Herrmann: Phys. Rev. Lett. 87, 203901 (2001)

    Article  ADS  Google Scholar 

  5. J.M. Harbold, F. Ö. Ilday, F.W. Wise, T.A. Birks, W.J. Wadsworth, Z. Chen: Opt. Lett. 27, 1558 (2002)

    Article  ADS  Google Scholar 

  6. W.J. Wadsworth, A. Ortigosa-Blanch, J.C. Knight, T.A. Birks, T.-P.M. Man , P.S.J. Russell: J. Opt. Soc. Am. B 19, 2148 (2002)

    Article  ADS  Google Scholar 

  7. G. Chang, T.B. Norris, H.G. Winful: Opt. Lett. 28, 546 (2003)

    Article  ADS  Google Scholar 

  8. K.L. Corwin, N.R. Newbury, J.M. Dudley, S. Coen, S.A. Diddams, K. Weber, R.S. Windeler: Phys. Rev. Lett. 90, 113904 (2003)

    Article  ADS  Google Scholar 

  9. N.R. Newbury, B.R. Washburn, K.L. Corwin, R.S. Windeler: Opt. Lett. 28, 944 (2003)

    Article  ADS  Google Scholar 

  10. J. Teipel, K. Franke, D. Türke, F. Warken, D. Meiser, M. Leuschner, H. Giessen: Appl. Phys. B 77, 245 (2003)

    Article  ADS  Google Scholar 

  11. L. Tong, R.R. Gattass, J.B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, E. Mazur: Nature 426, 816 (2003)

    Article  ADS  Google Scholar 

  12. J.M. Dudley, S. Coen: Opt. Lett. 27, 1180 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  13. J.M. Dudley, L. Provino, N. Grossard, H. Maillotte, R.S. Windeler, B.J. Eggleton, S. Coen: J. Opt. Soc. Am. B 19, 765 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  14. Q. Cao, X. Gu, E. Zeek, M. Kimmel, R. Trebino, J. Dudley, R.S. Windeler: Appl. Phys. B 77, 239 (2003)

    Article  ADS  Google Scholar 

  15. M. Kolesik, E.M. Wright, J.V. Moloney: unpublished

  16. F. Biancalana, D.V. Skryabin, P.S.J. Russell: Phys. Rev. E. 68, 046603 (2003)

    Article  ADS  Google Scholar 

  17. J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J.C. Knight, W.J. Wadsworth, P.S.J. Russell, G. Korn: Phys. Rev. Lett. 88, 173901 (2002)

    Article  ADS  Google Scholar 

  18. M. Kolesik, G. Katona, J.V. Moloney, E.M. Wright: Phys. Rev. Lett. 91, 043905 (2003)

    Article  ADS  Google Scholar 

  19. W. Liu, S. Petit, A. Becker, N. Aközbek, C.M. Bowden, S.L. Chin: Opt. Commun. 202, 189 (2002)

    Article  ADS  Google Scholar 

  20. A.L. Gaeta: Opt. Lett. 27, 924 (2002)

    Article  ADS  Google Scholar 

  21. X. Gu, L. Xu, M. Kimmel, E. Zeek, P. O’Shea, A.P. Shreenath, R. Trebino, R.S. Windeler: Opt. Lett. 27, 1174 (2002)

    Article  ADS  Google Scholar 

  22. D.A. Akimov, E.E. Serebryannikov, A.M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K.V. Dukelskii, V.S. Shevandin, Y.N. Kondratev: Opt. Lett. 28, 1948 (2003)

    Article  ADS  Google Scholar 

  23. R. Holzwarth, M. Zimmermann, T. Udem, T.W. Hänsch, P. Russbüldt, K. Gäbel, R. Poprawe, J.C. Knight, W.J. Wadsworth, P.S.J. Russell: Opt. Lett. 26, 1376 (2001)

    Article  ADS  Google Scholar 

  24. M. Kolesik, J.V. Moloney, M. Mlejnek: Phys. Rev. Lett. 89, 283902 (2002)

    Article  ADS  Google Scholar 

  25. M. Kolesik, J.V. Moloney: Phys. Rev. E (in press)

  26. G. Ghosch, H. Yajima: J. Lightwave Technol. 16, 2002 (1998)

    Article  ADS  Google Scholar 

  27. D. Milam: Appl. Opt. 37, 546 (1998)

    Article  ADS  Google Scholar 

  28. D. Hollenbeck, C.D. Cantrell: J. Opt. Soc. Am. B 19, 2886 (2002)

    Article  ADS  Google Scholar 

  29. A. Efimov, A.J. Taylor, F.G. Omenetto, J.C. Knight, W.J. Wadsworth, P.S.J. Russell: Opt. Express 11, 910 (2003)

    Article  ADS  Google Scholar 

  30. J.M. Dudley, X. Gu, L. Xu, M. Kimmel, E. Zeek, P. O’Shea, R. Trebino, S. Coen, R.S. Windeler: Opt. Express 10, 1215 (2002)

    Article  ADS  Google Scholar 

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Correspondence to M. Kolesik.

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PACS

02.70.Hm; 02.60.Cb; 42.65.Wi; 42.65.Re; 42.81.Pp

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Kolesik, M., Wright, E. & Moloney, J. Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers. Appl. Phys. B 79, 293–300 (2004). https://doi.org/10.1007/s00340-004-1551-1

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  • DOI: https://doi.org/10.1007/s00340-004-1551-1

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