Abstract

The generation of wavelengths above 3 μm by nonlinear processes in short silica photonic crystal fibers is investigated numerically. It was found that wavelengths in the 3–3.5 μm range may be generated quite efficiently in centimeter-long fiber pieces when pumping with femtosecond pulses in the 1.55–2 μm range. Wavelengths in the range of 3.5–4 μm can in principle be generated, but these require shorter fiber lengths for efficient extraction. The results indicate that useful 3 μm sources may be fabricated with existing silica-based fiber technology.

© 2013 Optical Society of America

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2013 (1)

2012 (5)

2010 (1)

R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

2009 (1)

2008 (1)

2007 (2)

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

2006 (1)

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

2003 (2)

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

J. Lægsgaard, A. Bjarklev, and S. E. B. Libori, J. Opt. Soc. Am. B 20, 443 (2003).
[CrossRef]

2001 (1)

1995 (1)

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

1977 (1)

T. Izawa, N. Shibata, and A. Takeda, Appl. Phys. Lett. 31, 33 (1977).
[CrossRef]

1965 (1)

Akhmediev, N.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

Bang, O.

Bjarklev, A.

Boppart, S. A.

Brambilla, G.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Cheng, M.-Y.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

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R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

Coen, S.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Danailov, M.

R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

Dudley, J. M.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Ebendorff-Heidepriem, H.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Erkintalo, M.

Feng, X.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Finazzi, V.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Flanagan, J.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Freeman, M. J.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Frosz, M. H.

Galvanauskas, A.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Genty, G.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Herzog, A.

Horak, P.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Ishaaya, A. A.

Islam, M. N.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Izawa, T.

T. Izawa, N. Shibata, and A. Takeda, Appl. Phys. Lett. 31, 33 (1977).
[CrossRef]

Jakobsen, C.

Jauregui, C.

Joannopoulos, J. D.

Johansen, J.

Johnson, S. G.

Karlsson, M.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

Knight, J. C.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Kulkarni, O. P.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Kumar, M.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Lægsgaard, J.

Leong, J. Y. Y.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Libori, S. E. B.

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D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Malitson, I. H.

Møller, U.

Monro, T.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Moselund, P. M.

Murdoch, S. G.

Nikolov, I.

R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

Nolan, D. A.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Okamoto, K.

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

Petropoulos, P.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Poletti, F.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Price, J. H. V.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Rasmussen, P. D.

Richardson, D.

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

Russell, P. S. J.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Shamir, A.

Shibata, N.

T. Izawa, N. Shibata, and A. Takeda, Appl. Phys. Lett. 31, 33 (1977).
[CrossRef]

Skryabin, D. V.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Sørensen, S. T.

U. Møller, S. T. Sørensen, C. Jakobsen, J. Johansen, P. M. Moselund, C. L. Thomsen, and O. Bang, Opt. Express 20, 2851 (2012).
[CrossRef]

S. T. Sørensen, “Deep-blue supercontinuum light sources based on tapered photonic crystal fibers,” Ph.D. dissertation (Technical University of Denmark, 2013).

Steinmetz, A.

Takeda, A.

T. Izawa, N. Shibata, and A. Takeda, Appl. Phys. Lett. 31, 33 (1977).
[CrossRef]

Terry, F. L.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Thomsen, C. L.

Tu, H.

Tünnermann, A.

Turchinovich, D.

Webb, K. E.

Wood, W. A.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Xia, C.

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

Xu, Y. Q.

Zghal, M.

R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

Appl. Phys. Lett. (1)

T. Izawa, N. Shibata, and A. Takeda, Appl. Phys. Lett. 31, 33 (1977).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

C. Xia, M. Kumar, M.-Y. Cheng, O. P. Kulkarni, M. N. Islam, A. Galvanauskas, F. L. Terry, M. J. Freeman, D. A. Nolan, and W. A. Wood, IEEE J. Sel. Top. Quantum Electron. 13, 789 (2007).
[CrossRef]

J. H. V. Price, T. Monro, H. Ebendorff-Heidepriem, F. Poletti, P. Horak, V. Finazzi, J. Y. Y. Leong, P. Petropoulos, J. Flanagan, G. Brambilla, X. Feng, and D. Richardson, IEEE J. Sel. Top. Quantum Electron. 13, 738 (2007).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

R. Cherif, M. Zghal, I. Nikolov, and M. Danailov, Opt. Commun. 283, 4378 (2010).
[CrossRef]

Opt. Express (5)

Opt. Lett. (3)

Phys. Rev. A (1)

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Science (1)

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Other (2)

S. T. Sørensen, “Deep-blue supercontinuum light sources based on tapered photonic crystal fibers,” Ph.D. dissertation (Technical University of Denmark, 2013).

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

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Figures (5)

Fig. 1.
Fig. 1.

β˜β(ωp) curves for a PCF with d/Λ=0.8, and pump wavelengths λp characteristic of Er- or Tm-doped fiber lasers.

Fig. 2.
Fig. 2.

Output spectra after 1 cm of propagation for a 4 nJ 50 fs input pulse at a wavelength of (a) 1.55 μm and (b) 2 μm. The PCF has d/Λ=0.8.

Fig. 3.
Fig. 3.

(a) Output spectra after 1 cm propagation for a PCF with Λ=1.75μm, pumped by 50 fs pulses at 2 μm. (b) Long-pass filtered pulse energies versus input pulse energy for a fiber with Λ=1.75μm and one with Λ=1.95μm.

Fig. 4.
Fig. 4.

(a) Long-pass filtered pulse energy versus propagation distance for a 10.6 nJ, 50 fs, Gaussian input pulse at 2 μm wavelength in a fiber with Λ=1.85μm. (b) Spectrum and cumulative integral after 3.3 mm propagation.

Fig. 5.
Fig. 5.

Spectrum and its cumulative integral of a 300 fs 12.8 nJ input pulse after 2 cm propagation in a fiber with Λ=1.75μm.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

β˜(ωCR)=β˜(ωp);β˜(ω)=β(ω)β1(ωp)(ωω0).
α=AUVeλUV/λ+AIReλIR/λ,

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