Abstract

Compression of linearly chirped picosecond pulses in hollow-core photonic bandgap fibers is investigated numerically. The modal properties of the fibers are modeled using the finite-element technique, whereas nonlinear propagation is described by a generalized nonlinear Schrödinger equation, which accounts both for the composite nature of the nonlinearity and the strong mode profile dispersion. Power limits for compression with more than 90% of the pulse energy in the main peak of the compressed pulse are investigated as a function of fiber design, and the temporal and spectral widths of the input pulse. The validity of approximate scaling rules is investigated, and figures of merit for fiber design are discussed.

© 2008 Optical Society of America

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  1. C. J. S. De Matos, J. R. Taylor, T. P. Hansen, K. P. Hansen, and J. Broeng, "All-fiber chirped pulse amplification using highly-dispersive air-core photonic bandgap fiber," Opt. Express 11, 2832-2837 (2003).
  2. J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tunnermann, "All fiber chirped-pulse amplification system based on compression in air-guiding photonic bandgap fiber," Opt. Express 11, 3332-3337 (2003).
  3. C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).
  4. D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
    [CrossRef]
  5. D. G. Ouzounov, C. J. Hensley, A. L. Gaeta, N. Venkateraman, M. T. Gallagher, and K. W. Koch, "Soliton pulse compression in photonic band-gap fibers," Opt. Express 13, 6153-6159 (2005).
    [CrossRef]
  6. C. J. Hensley, D. G. Ouzounov, A. L. Gaeta, N. Venkataraman, M. T. Gallagher, and K. W. Koch, "Silica-glass contribution to the effective nonlinearity of hollow-core photonic band-gap fibers," Opt. Express 15, 3507-3512 (2007).
    [CrossRef]
  7. F. Gerome, K. Cook, A. K. George, W. J. Wadsworth, and J. C. Knight, "Delivery of sub-100fs pulses through 8m of hollow-core fiber using soliton compression," Opt. Express 15, 7126-7131 (2007).
    [CrossRef]
  8. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
    [CrossRef]
  9. M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).
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    [CrossRef]
  11. J. Lægsgaard, "Mode profile dispersion in the generalised nonlinear Schr¨odinger equation," Opt. Express 15(24), 16,110-123 (2007).
  12. J. Lægsgaard, N. A. Mortensen, and A. Bjarklev, "Mode areas and field energy distribution in honeycomb photonic bandgap fibers," J. Opt. Soc. Am. B 20, 2037-45 (2003).
    [CrossRef]
  13. J. Lægsgaard, N. A. Mortensen, J. Riishede, and A. Bjarklev, "Material effects in airguiding photonic bandgap fibers," J. Opt. Soc. Am. B 20, 2046-51 (2003).
    [CrossRef]
  14. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 2001).
  15. E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, "Determination of the inertial contribution to the nonlinear refractive index of air, N2, and O2 by use of unfocused high-intensity femtosecond laser pulses," J. Opt. Soc. Am. B(Optical Physics) 14, 650-60 (1997).
    [CrossRef]
  16. M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
    [CrossRef]
  17. "JCMwave GmbH, www.jcmwave.com,".
  18. P. J. Roberts, D. P. Williams, H. Sabert, B. J. Mangan, D. M. Bird, T. A. Birks, J. C. Knight, and P. S. J. Russell, "Design of low-loss and highly birefringent hollow-core photonic crystal fiber," Opt. Express 14, 7329-7341 (2006).
    [CrossRef]
  19. P. J. Roberts, "Birefringent hollow core fibers," Proc. SPIE 6782, 67821R (2007).
  20. R. Amezcua-Correa, N. Broderick, M. Petrovich, F. Poletti, and D. Richardson, "Design of 7 and 19 cells core air-guiding photonic crystal fibers for low-loss, wide bandwidth and dispersion controlled operation," Opt. Express 15, 17577-17586 (2007).
    [CrossRef]
  21. G. P. Agrawal, "Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers," Opt. Letters 15, 224-6 (1990).
  22. F. Gérôme, J. Dupriez, J. C. Knight, and W. J. Wadsworth, "High power tunable femtosecond soliton source using hollow-core photonic bandgap fiber, and its use for frequency doubling," Opt. Express 16, 2381-2386 (2008).
    [CrossRef]

2008 (1)

2007 (5)

2006 (2)

P. J. Roberts, D. P. Williams, H. Sabert, B. J. Mangan, D. M. Bird, T. A. Birks, J. C. Knight, and P. S. J. Russell, "Design of low-loss and highly birefringent hollow-core photonic crystal fiber," Opt. Express 14, 7329-7341 (2006).
[CrossRef]

C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).

2005 (1)

2004 (1)

M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).

2003 (5)

2000 (1)

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

1998 (1)

1997 (1)

1990 (1)

G. P. Agrawal, "Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers," Opt. Letters 15, 224-6 (1990).

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]

Agrawal, G. P.

G. P. Agrawal, "Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers," Opt. Letters 15, 224-6 (1990).

Ahmad, F. R.

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Amezcua-Correa, R.

Bird, D. M.

Birks, T. A.

Bjarklev, A.

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]

Broderick, N.

Broeng, J.

Cook, K.

De Matos, C. J. S.

Dudley, J. M.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Dupriez, J.

Fermann, M. E.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Franco, M. A.

Gaeta, A. L.

Gallagher, M. T.

George, A. K.

Gerome, F.

Gérôme, F.

Grillon, G.

Hansen, K. P.

Hansen, T. P.

Harvey, J. D.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Hensley, C. J.

Jespersen, K. G.

C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).

Keiding, S. R.

C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).

Knight, J. C.

Koch, K. W.

Kolesik, M.

M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).

Kruglov, V. I.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Lægsgaard, J.

Limpert, J.

Mangan, B. J.

Mlejnek, M.

Moloney, J. V.

M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).

M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

Mortensen, N. A.

Muller, D.

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Mysyrowicz, A.

Nibbering, E. T. J.

Nielsen, C. K.

C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).

Nolte, S.

Ouzounov, D. G.

Petrovich, M.

Poletti, F.

Prade, B. S.

Richardson, D.

Riishede, J.

Roberts, P. J.

Russell, P. S. J.

Sabert, H.

Schreiber, T.

Silcox, J.

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Taylor, J. R.

Thomas, M. G.

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Thomsen, B. C.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Tunnermann, A.

Venkataraman, N.

C. J. Hensley, D. G. Ouzounov, A. L. Gaeta, N. Venkataraman, M. T. Gallagher, and K. W. Koch, "Silica-glass contribution to the effective nonlinearity of hollow-core photonic band-gap fibers," Opt. Express 15, 3507-3512 (2007).
[CrossRef]

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Venkateraman, N.

Wadsworth, W. J.

Williams, D. P.

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]

Wright, E. M.

M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).

M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

Zellmer, H.

Appl. Phys. B: Lasers Opt. (1)

M. Kolesik, E. M. Wright, and J. V. Moloney, "Simulation of femtosecond pulse propagation in sub-micron diameter tapered fibers." Appl. Phys. B: Lasers Opt. 79, 293-300 (2004).

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]

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

Opt. Express (10)

C. J. S. De Matos, J. R. Taylor, T. P. Hansen, K. P. Hansen, and J. Broeng, "All-fiber chirped pulse amplification using highly-dispersive air-core photonic bandgap fiber," Opt. Express 11, 2832-2837 (2003).

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tunnermann, "All fiber chirped-pulse amplification system based on compression in air-guiding photonic bandgap fiber," Opt. Express 11, 3332-3337 (2003).

D. G. Ouzounov, C. J. Hensley, A. L. Gaeta, N. Venkateraman, M. T. Gallagher, and K. W. Koch, "Soliton pulse compression in photonic band-gap fibers," Opt. Express 13, 6153-6159 (2005).
[CrossRef]

P. J. Roberts, D. P. Williams, H. Sabert, B. J. Mangan, D. M. Bird, T. A. Birks, J. C. Knight, and P. S. J. Russell, "Design of low-loss and highly birefringent hollow-core photonic crystal fiber," Opt. Express 14, 7329-7341 (2006).
[CrossRef]

C. J. Hensley, D. G. Ouzounov, A. L. Gaeta, N. Venkataraman, M. T. Gallagher, and K. W. Koch, "Silica-glass contribution to the effective nonlinearity of hollow-core photonic band-gap fibers," Opt. Express 15, 3507-3512 (2007).
[CrossRef]

F. Gerome, K. Cook, A. K. George, W. J. Wadsworth, and J. C. Knight, "Delivery of sub-100fs pulses through 8m of hollow-core fiber using soliton compression," Opt. Express 15, 7126-7131 (2007).
[CrossRef]

R. Amezcua-Correa, N. Broderick, M. Petrovich, F. Poletti, and D. Richardson, "Design of 7 and 19 cells core air-guiding photonic crystal fibers for low-loss, wide bandwidth and dispersion controlled operation," Opt. Express 15, 17577-17586 (2007).
[CrossRef]

F. Gérôme, J. Dupriez, J. C. Knight, and W. J. Wadsworth, "High power tunable femtosecond soliton source using hollow-core photonic bandgap fiber, and its use for frequency doubling," Opt. Express 16, 2381-2386 (2008).
[CrossRef]

J. Lægsgaard, "Mode profile dispersion in the generalised nonlinear Schr¨odinger equation," Opt. Express 15(24), 16,110-123 (2007).

C. K. Nielsen, K. G. Jespersen, and S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 ???m using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 239-44 (2006).

Opt. Lett. (1)

Opt. Letters (1)

G. P. Agrawal, "Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers," Opt. Letters 15, 224-6 (1990).

Phys. Rev. Lett. (1)

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-similar propagation and amplification of parabolic pulses in optical fibers," Phys. Rev. Lett. 84, 6010-13 (2000).
[CrossRef]

Proc.SPIE (1)

P. J. Roberts, "Birefringent hollow core fibers," Proc. SPIE 6782, 67821R (2007).

Science (1)

D. G. Ouzounov, F. R. Ahmad, D. Muller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).
[CrossRef]

Other (2)

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

"JCMwave GmbH, www.jcmwave.com,".

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