Abstract

With the use of numerical simulations based on generalized nonlinear Schrödinger equation, we study for the first time the coherence of super-continuum (SC), generated in tapered and cobweb fibers in the regime with clearly defined solitions in spectrum. We suggest a simple model, which explains the influence of pump pulses power and duration on SC coherence. A possibility of concerned SC generation regime application in optical frequencies metrology is discussed.

© 2006 Optical Society of America

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  1. F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).
    [CrossRef] [PubMed]
  2. K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
    [CrossRef]
  3. A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
    [CrossRef] [PubMed]
  4. J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
    [CrossRef] [PubMed]
  5. A. Ortigossa-Blanch, J. C. Knight, and P. St. J. Russell, "Pulse breaking and supercontinuum generation with 200-fs pump pulses in PCF," J. Opt. Soc. Am. B 19, 2567-2572 (2002).
    [CrossRef]
  6. W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
    [CrossRef]
  7. J. M. Dudley and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
    [CrossRef]
  8. J. M. Dudley and S. Coen, "Numerical simulations and coherence properties of supercontinuum generation in photonic crystal and tapered optical fibers," IEEE J. Sel. Top. Quantum. Electron. 8, 651-659 (2002).
    [CrossRef]
  9. X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, "Experimental studies of the coherence of microstructure-fiber supercontinuum," Opt. Express 11, 2697-2703 (2003).
    [CrossRef] [PubMed]
  10. J. Nicholson and M. Yan, "Cross-coherence measurements of supercontinua generated in highly-nonlinear, dispersion shifted fiber at 1550 nm," Opt. Express 12, 679-688 (2004).
    [CrossRef] [PubMed]
  11. I. Zeylikovich, V. Kartazaev, and R. R. Alfano, "Spectral, temporal, and coherence properties of supercontinuum generation in microstructure fiber," J. Opt. Soc. Am. B 22, 1453-1460 (2005).
    [CrossRef]
  12. S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
    [CrossRef]
  13. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, California, 2001).
  14. K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum. Electron. 25, 2665-2673 (1989).
    [CrossRef]
  15. S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).
  16. B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
    [CrossRef]
  17. K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
    [CrossRef]
  18. S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
    [CrossRef]
  19. D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
    [CrossRef] [PubMed]

2005 (2)

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

I. Zeylikovich, V. Kartazaev, and R. R. Alfano, "Spectral, temporal, and coherence properties of supercontinuum generation in microstructure fiber," J. Opt. Soc. Am. B 22, 1453-1460 (2005).
[CrossRef]

2004 (2)

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

J. Nicholson and M. Yan, "Cross-coherence measurements of supercontinua generated in highly-nonlinear, dispersion shifted fiber at 1550 nm," Opt. Express 12, 679-688 (2004).
[CrossRef] [PubMed]

2003 (3)

X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, "Experimental studies of the coherence of microstructure-fiber supercontinuum," Opt. Express 11, 2697-2703 (2003).
[CrossRef] [PubMed]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

2002 (6)

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

J. M. Dudley and S. Coen, "Numerical simulations and coherence properties of supercontinuum generation in photonic crystal and tapered optical fibers," IEEE J. Sel. Top. Quantum. Electron. 8, 651-659 (2002).
[CrossRef]

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
[CrossRef]

J. M. Dudley and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
[CrossRef]

A. Ortigossa-Blanch, J. C. Knight, and P. St. J. Russell, "Pulse breaking and supercontinuum generation with 200-fs pump pulses in PCF," J. Opt. Soc. Am. B 19, 2567-2572 (2002).
[CrossRef]

2001 (2)

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
[CrossRef] [PubMed]

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

2000 (1)

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

1989 (1)

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum. Electron. 25, 2665-2673 (1989).
[CrossRef]

1986 (1)

Alfano, R. R.

Birks, T. A.

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Blow, K. J.

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum. Electron. 25, 2665-2673 (1989).
[CrossRef]

Chau, A. H. L.

Coen, S.

X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, "Experimental studies of the coherence of microstructure-fiber supercontinuum," Opt. Express 11, 2697-2703 (2003).
[CrossRef] [PubMed]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

J. M. Dudley and S. Coen, "Numerical simulations and coherence properties of supercontinuum generation in photonic crystal and tapered optical fibers," IEEE J. Sel. Top. Quantum. Electron. 8, 651-659 (2002).
[CrossRef]

J. M. Dudley and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
[CrossRef]

S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
[CrossRef]

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Corwin, K. L.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

Cundiff, S. T.

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Diddams, S. A.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Dudley, J. M.

X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, "Experimental studies of the coherence of microstructure-fiber supercontinuum," Opt. Express 11, 2697-2703 (2003).
[CrossRef] [PubMed]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

J. M. Dudley and S. Coen, "Numerical simulations and coherence properties of supercontinuum generation in photonic crystal and tapered optical fibers," IEEE J. Sel. Top. Quantum. Electron. 8, 651-659 (2002).
[CrossRef]

J. M. Dudley and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
[CrossRef]

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Fateev, N. V.

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

Griebner, U.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Gu, X.

Hall, J. L.

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Harvey, J. D.

Herrmann, J.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
[CrossRef] [PubMed]

Husakou, A.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Husakou, A. V.

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
[CrossRef] [PubMed]

Jones, D. A.

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Kartazaev, V.

Kimmel, M.

Knight, J. C.

A. Ortigossa-Blanch, J. C. Knight, and P. St. J. Russell, "Pulse breaking and supercontinuum generation with 200-fs pump pulses in PCF," J. Opt. Soc. Am. B 19, 2567-2572 (2002).
[CrossRef]

S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Kobtsev, S. M.

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

Korn, G.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Kukarin, S. V.

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

Lacourt, P. A.

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Leonhardt, R.

Man, T.-P. M.

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Mitschke, F. M.

Mollenauer, L. F.

Newbury, N. R.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

Nicholson, J.

Nickel, D.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Ortigossa-Blanch, A.

A. Ortigossa-Blanch, J. C. Knight, and P. St. J. Russell, "Pulse breaking and supercontinuum generation with 200-fs pump pulses in PCF," J. Opt. Soc. Am. B 19, 2567-2572 (2002).
[CrossRef]

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Ralph, S. E.

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Ranka, J. K.

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Rhodes, W. T.

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Russell, P. St. J.

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

A. Ortigossa-Blanch, J. C. Knight, and P. St. J. Russell, "Pulse breaking and supercontinuum generation with 200-fs pump pulses in PCF," J. Opt. Soc. Am. B 19, 2567-2572 (2002).
[CrossRef]

Shreenath, A. P.

Smirnov, S. V.

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

Stentz, A.

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Trebino, R.

Wadsworth, W. J.

S. Coen, A. H. L. Chau, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, "Supercontinuum generation by stimulated Raman scattering and parametric four-wave mixing in photonic crystal fibers," J. Opt. Soc. Am. B 19, 753-764 (2002).
[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Washburn, B. R.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

Weber, K.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

Windeler, R. S.

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, "Experimental studies of the coherence of microstructure-fiber supercontinuum," Opt. Express 11, 2697-2703 (2003).
[CrossRef] [PubMed]

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Wood, D.

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum. Electron. 25, 2665-2673 (1989).
[CrossRef]

Yan, M.

Zeylikovich, I.

Zhavoronkov, N.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Appl. Phys. B (3)

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Coherent, polarization and temporal properties of self-frequency shifted solitons generated in polarization-maintaining microstructured fibre," Appl. Phys. B 81, 265-269 (2005).
[CrossRef]

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, "Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber," Appl. Phys. B 77, 269-277 (2003).
[CrossRef]

Electron. Lett. (1)

B. R. Washburn, S. E. Ralph, P. A. Lacourt, J. M. Dudley, W. T. Rhodes, R. S. Windeler, and S. Coen, "Tunable near-infrared femtosecond soliton generation in photonic crystal fibres," Electron. Lett. 37, 1510-1512 (2001).
[CrossRef]

IEEE J. Quantum. Electron. (1)

K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum. Electron. 25, 2665-2673 (1989).
[CrossRef]

IEEE J. Sel. Top. Quantum. Electron. (1)

J. M. Dudley and S. Coen, "Numerical simulations and coherence properties of supercontinuum generation in photonic crystal and tapered optical fibers," IEEE J. Sel. Top. Quantum. Electron. 8, 651-659 (2002).
[CrossRef]

J. Opt. Soc. Am. B (3)

J. Opt. Soc. Am. B. (1)

W. J. Wadsworth, A. Ortigossa-Blanch, J. C. Knight, T. A. Birks, T.-P. M. Man, and P. St. J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B. 19, 2148-2155 (2002).
[CrossRef]

Laser Phys. (1)

S. M. Kobtsev, S. V. Kukarin, N. V. Fateev, and S. V. Smirnov, "Generation of self-frequency-shifted solitons in tapered fibers in the presence of femtosecond pumping," Laser Phys.,  14, 748-751 (2004).

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. Lett. (2)

A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
[CrossRef] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, 173901 (2002).
[CrossRef] [PubMed]

Science. (1)

D. A. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science. 288, 635-639 (2000).
[CrossRef] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, California, 2001).

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Figures (5)

Fig. 1.
Fig. 1.

Experimental (left) and calculated (right) radiation spectra at the exit from a bi-conical micro-waveguide at different average levels of pump power (corresponding values are given beside the curves).

Fig. 2.
Fig. 2.

Averaged over 100 computations dependence of coherence degree and spectral power at the exit from the waist of a bi-conical micro-waveguide (d = 2.2 μm, l = 12 cm) upon the radiation frequency at different values of input pulse duration. Pump pulse parameters: λ = 805 nm (ω = 373 THz), P = 15 kW; for graphs a-c: C = 0 (a-c), T = T 0 = 50 fs (a), 75 fs (b) 100 fs (c); for graphs d, e: T 0 = 50 fs (d, e), T = 75 fs, C = 0.83 (d), T = 100 fs, C = 1.22 (e).

Figs. 3.
Figs. 3.

(a), (b), and (c) averaged over 100 calculations dependence of coherence degree and spectral power at the exit from the waist of a bi-conical micro-waveguide (d = 2.2 μm, l = 12 cm) on the radiation frequency at different power levels of input pulses. Parameters of pumping pulses: λ = 805 nm (ω = 373 THz), T = T 0 = 75 fs (C = 0), Pfund = 109 W, P = 10 kW(a), 15 kW(b), 20 kW (c). (d), (e), (f) - temporal intensity distributions at the exit of the fiber for the same simulations.

Fig. 4.
Fig. 4.

Dependence of the coherence degree and spectral power on the radiation frequency upon the pumping pulse passing distance z = 0 (a), 3 cm (b), 6 cm (c), 9 cm (d), and 12 cm (e) along the waist of a bi-conical micro-waveguide (d = 2.2 μm, l = 12 cm). Pump parameters: λ = 805 nm (ω = 373 THz), P = 15 kW (Pfund = 109 W), T = T0 = 75 fs.

Fig. 5.
Fig. 5.

Dependence of the coherence degree of the longest-wavelength soliton in the spectrum upon the frequency shift. Calculations were carried out for the fibre waist diameter 2.2 μm and waist length 6 cm (a), 9 cm (b), 12 cm (c). Duration and power of pumping pulses are given in the graphs.

Equations (9)

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A z = i k = 2 k max i k k ! β k k A t k + i γ ( 1 + i ω 0 t ) ( A ( z , t ) 0 R ( t ' ) A ( z , t t ' ) 2 d t ' )
A noise ( ω ) 2 Δω = ħω
A signal ( t ) = G ( t , t ' ) cosh ( t ' 2 ln ( 2 + 1 ) T 0 ) d t '
g ( ω ) = A ( i ) ( ω ) A ( j ) * ( ω ) i j A ( i ) ( ω ) 2 i A ( j ) ( ω ) 2 j
Ω MI = 2 γ P β 2 , g max = 2 γ P
z M I 1 2 γ P ln I 0 I noise
δ ω ( z ) = k γ P z T 0
ξ = β 2 k 2 8 T 0 2 γ P ln I 0 I noise
g ( P , T 0 , z ) = g ( P T 0 2 , z )

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