Abstract

We present a single-pass frequency doubler that efficiently converts broadband near-infrared femtosecond pulses into narrow-spectrum visible picosecond pulses. An optimal control technique is introduced for properly designing aperiodically poled nonlinear crystals to generate visible pulses of the desired amplitude, phase profile, and carrier wavelength.

© 2007 Optical Society of America

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References

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2006 (2)

2005 (2)

U. K. Sapaev and D. T. Reid, Opt. Express 13, 3264 (2005).
[CrossRef] [PubMed]

I. Serban, J. Werschnik, and E. K. U. Gross, Phys. Rev. A 71, 053810 (2005).
[CrossRef]

2004 (1)

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 75, 4971 (2004).
[CrossRef]

2002 (1)

2001 (1)

1999 (1)

1998 (1)

1997 (1)

1994 (2)

1993 (1)

1989 (1)

Adler, F.

Akerboom, F.

Arbore, M. A.

Bang, O.

Buffa, R.

Cheung, E.

Christiansen, P. L.

Clausen, C. B.

Dunn, M. H.

Ebrahimzadeh, M.

Ellingson, R.

Fejer, M. M.

Galvanauskas, A.

Giessen, H.

Gross, E. K. U.

I. Serban, J. Werschnik, and E. K. U. Gross, Phys. Rev. A 71, 053810 (2005).
[CrossRef]

Harter, D.

Hebling, J.

Imeshev, G.

Kaiser, A.

A. Kaiser and V. May, Chem. Phys. 320, 95 (2006).
[CrossRef]

Koch, K.

Kuhl, J.

Kukura, P.

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 75, 4971 (2004).
[CrossRef]

Leitenstorfer, A.

Marco, O.

Mathies, R. A.

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 75, 4971 (2004).
[CrossRef]

May, V.

A. Kaiser and V. May, Chem. Phys. 320, 95 (2006).
[CrossRef]

McCamant, D. W.

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 75, 4971 (2004).
[CrossRef]

Moore, G.

Moutzouris, K.

Noack, F.

Petrov, V.

Proctor, M.

Reid, D. T.

Ruhle, W.

Sapaev, U. K.

Seifert, F.

Serban, I.

I. Serban, J. Werschnik, and E. K. U. Gross, Phys. Rev. A 71, 053810 (2005).
[CrossRef]

Sotier, F.

Tang, C.

Torner, L.

Trautlein, D.

Werschnik, J.

I. Serban, J. Werschnik, and E. K. U. Gross, Phys. Rev. A 71, 053810 (2005).
[CrossRef]

Yoon, S.

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, Rev. Sci. Instrum. 75, 4971 (2004).
[CrossRef]

Zhang, X.

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Figures (2)

Fig. 1
Fig. 1

(a) Real (solid curve) and imaginary (dashed curves) part of the optimal nonlinear coefficient profile normalized to its maximum reachable absolute value χ max = ( 2 π ) χ 0 . (b) Input FF [thick solid curve], optimized and desired output SH (solid curve and open circles) and SH output corresponding to a uniform QPM (thin black curve). (c) SH target (dashed curve) and SH output obtained from the true grating from Eqs. (7, 8) (solid curve). (d) Output SH power spectrum (solid curve) and target (open circles): the bandwidth is 0.41 nm ( 7.4 cm 1 ) .

Fig. 2
Fig. 2

(a) Real (solid curve) and imaginary (dashed curve) part of the optimal nonlinear coefficient profile. (b) Input FF [thick solid curve], optimized and desired output SH (solid curve and open circles) and SH output corresponding to a uniform QPM (thin black curve). (c) SH target (dashed curve) and SH output obtained from the true grating from Eqs. (7, 8) (solid curve). (d) Output SH power spectrum (solid curve) and target (open circles): the bandwidth is 0.45 nm ( 8 cm 1 ) .

Equations (12)

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i E 1 z = β 1 2 2 E 1 t 2 G ( z ) exp ( i Δ k z ) E 1 * E 2 ,
i E 2 z = i δ E 2 t + β 2 2 2 E 2 t 2 G ( z ) exp ( i Δ k z ) E 1 2 ,
i E 1 z = β 1 2 2 E 1 t 2 χ ( z ) E 1 * E 2 ,
i E 2 z = i δ E 2 t + β 2 2 2 E 2 t 2 χ * ( z ) E 1 2 ,
J 1 = 1 2 + [ E 2 ( z = L , t ) E 2 , target ( t ) ] 2 d t .
J = J 1 + J 2 + c.c. ,
J 2 = 0 L + λ 1 ( E 1 z + i β 1 2 2 E 1 t 2 i χ E 1 * E 2 ) + λ 2 ( E 2 z δ E 2 t + i β 2 2 2 E 2 t 2 i χ * E 1 2 ) d t d z ,
i λ 1 z = β 1 2 2 λ 1 t 2 χ * ( λ 1 * E 2 * 2 λ 2 E 1 ) ,
i λ 2 z = i δ λ 2 t β 2 2 2 λ 2 t 2 + χ λ 1 E 1 * .
δ J δ χ = + ( i λ 1 E 2 E 1 * + i λ 2 * E 1 2 * ) d t .
d c ( z ) = 1 π arcsin ( π 2 χ ( z ) χ 0 ) .
Λ ( z ) = 2 π ( Δ k + d [ Arg [ χ ( z ) ] + π d c ( z ) ] d z ) 1 .

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