Abstract

Numerical simulations are used to investigate parabolic pulse generation in tapered silicon optical fibers. The simulations are based on a realistic silicon fiber taper with micrometer-sized core dimensions, designed to have a decreasing normal dispersion profile, and include the effects of linear and nonlinear absorption. Evolution to the parabolic regime is quantified by a misfit parameter, and the optimum values for the input pulse and taper length are established. The results identify a distortion-free nonlinear propagation window for the transmission of optical pulses in normal dispersion silicon waveguides.

© 2010 Optical Society of America

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2010 (2)

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

2008 (1)

N. Vukovic, N. G. R. Broderick, and F. Poletti, Adv. Nonlinear Opt. 2008, 1 (2008).

2007 (4)

2006 (3)

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

L. Yin, Q. Lin, and G. P. Agrawal, Opt. Lett. 31, 1295 (2006).
[CrossRef] [PubMed]

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

2004 (1)

2003 (1)

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

2002 (1)

2000 (1)

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

1991 (1)

R. P. Kenny, T. A. Birks, and K. P. Oakly, Electron. Lett. 27, 1654 (1991).
[CrossRef]

Agrawal, G. P.

Amezcua-Correa, A.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Badding, J. V.

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Baril, N. F.

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Billet, C.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

Birks, T. A.

R. P. Kenny, T. A. Birks, and K. P. Oakly, Electron. Lett. 27, 1654 (1991).
[CrossRef]

Boyd, R. W.

Broderick, N. G. R.

N. Vukovic, N. G. R. Broderick, and F. Poletti, Adv. Nonlinear Opt. 2008, 1 (2008).

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Crespi, V. H.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Dudley, J. M.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Fauchet, P. M.

Fermann, M. E.

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Ferriere, R.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

Finlayson, C. E.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Finot, C.

Gopalan, V.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Harvey, J. D.

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Hayes, J. R.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Healy, N.

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

Hirooka, T.

Jackson, B. R.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Kenny, R. P.

R. P. Kenny, T. A. Birks, and K. P. Oakly, Electron. Lett. 27, 1654 (1991).
[CrossRef]

Kibler, B.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

Kruglov, V. I.

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Lacourt, P.-A.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

Lagonigro, L.

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

Larger, L.

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

Latkin, A. I.

Lin, Q.

Margine, E. R.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Monro, T. M.

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Nakazawa, M.

Oakly, K. P.

R. P. Kenny, T. A. Birks, and K. P. Oakly, Electron. Lett. 27, 1654 (1991).
[CrossRef]

Peacock, A. C.

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

Petropoulos, P.

Piredda, G.

Poletti, F.

N. Vukovic, N. G. R. Broderick, and F. Poletti, Adv. Nonlinear Opt. 2008, 1 (2008).

Provost, L.

Richardson, D. J.

Sazio, P. J. A.

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Scheidemantel, T. J.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Sparks, J. R.

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Opt. Express 18, 7596 (2010).
[CrossRef] [PubMed]

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

Sysoliatin, A. A.

Thomson, B. C.

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Turitsyn, S. K.

Vukovic, N.

N. Vukovic, N. G. R. Broderick, and F. Poletti, Adv. Nonlinear Opt. 2008, 1 (2008).

Won, D.-J.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Yin, L.

Zhang, F.

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

Zhang, J.

Adv. Nonlinear Opt. (1)

N. Vukovic, N. G. R. Broderick, and F. Poletti, Adv. Nonlinear Opt. 2008, 1 (2008).

Appl. Phys. Lett. (1)

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, Appl. Phys. Lett. 96, 041105 (2010).
[CrossRef]

Electron. Lett. (2)

R. P. Kenny, T. A. Birks, and K. P. Oakly, Electron. Lett. 27, 1654 (1991).
[CrossRef]

B. Kibler, C. Billet, P.-A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, Electron. Lett. 42, 965 (2006).
[CrossRef]

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

Opt. Commun. (1)

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Opt. Express (3)

Opt. Lett. (4)

Phys. Rev. Lett. (1)

M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Science (1)

P. J. A. Sazio, A. Amezcua-Correa, C. E. Finlayson, J. R. Hayes, T. J. Scheidemantel, N. F. Baril, B. R. Jackson, D.-J. Won, F. Zhang, E. R. Margine, V. Gopalan, V. H. Crespi, and J. V. Badding, Science 311, 1583 (2006).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of parabolic pulse generation with microscope image of a silicon fiber taper. (b) GVD and (c) effective mode area as functions of the core diameter. (d) Pulse evolution toward the parabolic regime.

Fig. 2
Fig. 2

Map of the parabolic intensity misfit as functions of the taper length and input Gaussian pulse duration.

Fig. 3
Fig. 3

(a) Optimum pulse profile and chirp (solid curves) with parabolic and linear fits (circles). The dashed curve is pulse generated with β TPA = σ f = β 3 = 0 , normalized to the same peak power ( × 2 / 5 ). (b) Comparison of nonoptimum parabolic pulse propagation in a tapered fiber (solid curve) and an untapered fiber (dashed curve).

Equations (3)

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

A z = i β 2 ( z ) 2 2 A t 2 + β 3 ( z ) 6 3 A t 3 + i γ ( z ) | A | 2 A 1 2 ( σ f + α l ) A ,
N c ( z , t ) t = β TPA 2 h ν 0 | A ( z , t ) | 4 A eff 2 N c ( z , t ) τ c ,
ε I 2 = [ | A | 2 | p ( t ) | 2 ] 2 d t | A | 4 d t ,

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