Abstract

Adiabatic soliton compression by means of a pressure gradient in a hollow-core photonic bandgap fiber is investigated theoretically and numerically. It is shown that the duration of the compressed pulse is limited mainly by the interplay between third-order dispersion and the Raman-induced soliton frequency shift. Analytical expressions for this limit are derived and compared with results of detailed numerical simulations for a realistic fiber structure.

© 2009 Optical Society of America

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References

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2009 (1)

2008 (3)

2007 (1)

2006 (1)

2005 (2)

2003 (4)

1994 (1)

1986 (1)

Agrawal, G. P.

Antonopoulos, G.

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, Science 298, 399 (2003).
[CrossRef]

Benabid, F.

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, Science 298, 399 (2003).
[CrossRef]

Birks, T. A.

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

Bjarklev, A.

Broeng, J.

Cook, K.

Couny, F.

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

De Matos, C. J. S.

Dupriez, J.

Gaeta, A. L.

Gallagher, M. T.

George, A. K.

Gerome, F.

Gérôme, F.

Gordon, J. P.

Hald, J.

Hansen, K. P.

Hansen, T. P.

Henningsen, J.

Hensley, C. J.

Herrmann, J.

Knight, J. C.

F. Gérôme, J. Dupriez, J. C. Knight, and W. J. Wadsworth, Opt. Express 16, 2381 (2008).
[CrossRef] [PubMed]

F. Gerome, K. Cook, A. K. George, W. J. Wadsworth, and J. C. Knight, Opt. Express 15, 7126 (2007).
[CrossRef] [PubMed]

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, Science 298, 399 (2003).
[CrossRef]

Koch, K. W.

Lægsgaard, J.

Limpert, J.

Lin, Q.

Mortensen, N. A.

Nazarkin, A.

Nolte, S.

Ouzounov, D. G.

Roberts, P. J.

Russell, P. S. J.

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, Science 298, 399 (2003).
[CrossRef]

Schreiber, T.

Taylor, J. R.

Tunnermann, A.

Venkateraman, N.

Wadsworth, W. J.

Zellmer, H.

Appl. Opt. (1)

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

Nature (1)

F. Benabid, F. Couny, J. C. Knight, T. A. Birks, and P. S. J. Russell, Nature 434, 488 (2005).
[CrossRef] [PubMed]

Opt. Express (6)

Opt. Lett. (3)

Science (1)

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, Science 298, 399 (2003).
[CrossRef]

Other (1)

JCMwave GmbH, www.jcmwave.com, retrieved November 9, 2009.

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Figures (2)

Fig. 1
Fig. 1

Minimal soliton duration t m as function of the pressure gradient from numerical calculations (filled circles) and Eq. (5) with fiber parameters at different wavelengths. Inset, function F Si O 2 defined in Eq. (7).

Fig. 2
Fig. 2

Pulse-quality Q at maximal compression versus L g L s , the ratio between the soliton length and the characteristic length scale of gas pressure variation, at the launch end of the fiber compressor. Inset, pulse forms at input and maximal compression for d P d z = 2 atm. m .

Equations (7)

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A ( z , t ) = P s sech ( t t s ) exp ( i z 2 L s ) ,
d t s d z = 2 γ E s [ β 3 d ω s d z | β 2 | γ d γ d z ] ,
h ( t ) = f a τ 1 2 + τ 2 2 τ 1 τ 2 2 exp ( t τ 2 ) sin ( t τ 1 ) + f b 2 τ b t τ b 2 exp ( t τ b ) ,
d ω s d z = γ Si O 2 P s f R d x sech 2 ( x ) tanh ( x ) 0 d y R ( y t s ) sech 2 ( x y ) γ Si O 2 P s f R I R ( t s ) .
β 3 γ Si O 2 f R I R ( t m ) t m 2 = d γ d z = γ g ( 1 atm. ) d P d z .
d ω s d z = 8 15 β 2 γ Si O 2 γ f R t R t s 4 ; t R = 0 d t t R ( t ) 6.42 fs .
F Si O 2 ( t m ) = t m I R ( t m ) 1 4 = t m ( γ g ( 1 atm. ) d P d z β 3 γ Si O 2 f R ) 1 4

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