Abstract

We consider an index-guiding silica photonic crystal fiber with a triangular hole pattern and a periodically poled quadratic nonlinearity. By tuning the pitch and the relative hole size, second-harmonic generation with zero group-velocity mismatch is found for any fundamental wavelength above 780nm. The nonlinear strength is optimized when the fundamental has maximum confinement in the core. The conversion bandwidth allows for femtosecond-pulse conversion, and 4%180%W1cm2 relative efficiencies were found.

© 2006 Optical Society of America

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2004 (2)

2003 (2)

2002 (2)

B. T. Kuhlmey, R. C. McPhedran, and C. M. de Sterke, Opt. Lett. 27, 1684 (2002).
[CrossRef]

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

2001 (3)

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

S. Johnson and J. Joannopoulos, Opt. Express 8, 173 (2001).
[CrossRef] [PubMed]

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

2000 (1)

1998 (1)

A. Arraf and C. M. de Sterke, IEEE J. Quantum Electron. 34, 660 (1998).
[CrossRef]

1997 (1)

1992 (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

1987 (1)

Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

1978 (1)

J. W. Fleming, Electron. Lett. 14, 326 (1978).
[CrossRef]

1969 (1)

S. Kielich, IEEE J. Quantum Electron. 5, 562 (1969).
[CrossRef]

Andrés, M. V.

Andrés, P.

Arraf, A.

A. Arraf and C. M. de Sterke, IEEE J. Quantum Electron. 34, 660 (1998).
[CrossRef]

Ashihara, S.

Belardi, W.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Bjarklev, A.

Broderick, N. G. R.

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

Busacca, A.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Cha, M.

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

Cooper, M.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

de Sterke, C. M.

B. T. Kuhlmey, R. C. McPhedran, and C. M. de Sterke, Opt. Lett. 27, 1684 (2002).
[CrossRef]

A. Arraf and C. M. de Sterke, IEEE J. Quantum Electron. 34, 660 (1998).
[CrossRef]

Faccio, D.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

Fejer, M. M.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Ferrando, A.

Fleming, J. W.

J. W. Fleming, Electron. Lett. 14, 326 (1978).
[CrossRef]

Fokine, M.

Grappe, B.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Hasegawa, A.

Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

Joannopoulos, J.

Johnson, S.

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Kazansky, P.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Kazansky, P. G.

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

P. G. Kazansky and V. Pruneri, J. Opt. Soc. Am. B 14, 3170 (1997).
[CrossRef]

Kielich, S.

S. Kielich, IEEE J. Quantum Electron. 5, 562 (1969).
[CrossRef]

Kodama, Y.

Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

Kuhlmey, B. T.

Kurimura, S.

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

Kuroda, K.

Lægsgaard, J.

Libori, S.

Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Margulis, W.

McPhedran, R. C.

Miret, J. J.

Monro, T.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Monro, T. M.

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

Myrén, N.

Nilsson, L.-E.

Olsson, H.

Pannell, C.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Pruneri, V.

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

P. G. Kazansky and V. Pruneri, J. Opt. Soc. Am. B 14, 3170 (1997).
[CrossRef]

Richardson, D.

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

Richardson, D. J.

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

Ro, J. H.

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

Shimura, T.

Silvestre, E.

Taira, T.

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

Tarasenko, O.

Yu, N. E.

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

Electron. Lett. (2)

D. Faccio, A. Busacca, W. Belardi, V. Pruneri, P. Kazansky, T. Monro, D. Richardson, B. Grappe, M. Cooper, and C. Pannell, Electron. Lett. 37, 107 (2001).
[CrossRef]

J. W. Fleming, Electron. Lett. 14, 326 (1978).
[CrossRef]

IEEE J. Quantum Electron. (4)

Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[CrossRef]

S. Kielich, IEEE J. Quantum Electron. 5, 562 (1969).
[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

A. Arraf and C. M. de Sterke, IEEE J. Quantum Electron. 34, 660 (1998).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

T. M. Monro, V. Pruneri, N. G. R. Broderick, D. Faccio, P. G. Kazansky, and D. J. Richardson, IEEE Photon. Technol. Lett. 13, 981 (2001).
[CrossRef]

J. Opt. A (1)

J. Lægsgaard and A. Bjarklev, J. Opt. A 6, 1 (2004).
[CrossRef]

J. Opt. Soc. Am. B (4)

Opt. Express (2)

Opt. Lett. (2)

N. E. Yu, J. H. Ro, M. Cha, S. Kurimura, and T. Taira, Opt. Lett. 47, 1046 (2002).
[CrossRef]

B. T. Kuhlmey, R. C. McPhedran, and C. M. de Sterke, Opt. Lett. 27, 1684 (2002).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Zero-GVM contours in ( λ 1 , D ) space; (b) Δ n along these contours. Λ is fixed at selected values. Inset, PCF with pitch Λ and air-hole diameter d.

Fig. 2
Fig. 2

(a) Zero-GVM contours in ( Λ , D ) space, fixing λ 1 ; (b) Δ λ for l F = 10 cm and (c) l QPM along these contours.

Fig. 3
Fig. 3

Double-log plots of σ versus Λ. Insets (1)–(3), selected mode energy distributions. l F = 10 cm , τ = 1 ps , n SC = 9 .

Tables (1)

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Table 1 Selected designs for SHG with zero GVM a

Equations (4)

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( z i D ̃ 1 t 2 ) u 1 = i σ u 1 * u 2 e i Δ β z l F ,
( z d ̃ 12 t i D ̃ 2 t 2 ) u 2 = i σ u 1 2 2 e i Δ β z l F .
ρ = ( a 1 2 a 2 ) 1 2 d x e ̃ 1 * ( x ) χ ̃ ( 2 ) ( x ) : e ̃ 2 ( x ) e ̃ 1 * ( x )
η = σ 2 sinc 2 ( Δ β l F 2 ) P 1 τ 2 ω 1 = P 1 ρ 2 l F 2 sinc 2 ( Δ β l F 2 ) 2 ω 1 2 n 1 2 n 2 ϵ 0 c 3

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