Abstract

We describe an all-reflective interferometric autocorrelator designed to measure ultrabroadband optical pulses in the UV through IR spectral regions. By carefully choosing the device geometry we are able to obtain approximations for the nonlinear autocorrelation functions that reduce computation times to values acceptable for use in iterative pulse reconstruction schemes. We describe the optical design, autocorrelation functions, and present proof-of-principle experimental results measuring 20.6fs pulses with a transform limit of 9.6fs.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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2004 (3)

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

2003 (2)

H. Mashiko, A. Suda, and K. Midorikawa, Appl. Phys. B 76, 525 (2003).

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

2002 (1)

2001 (2)

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

J.-H. Chung and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 7, 656 (2001).
[CrossRef]

1998 (2)

1997 (1)

1993 (1)

1989 (1)

K. Naganuma, K. Mogi, and H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Baltuska, A.

Baum, P.

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

Biegert, J.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Bucksbaum, P. H.

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

Canova, F.

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Charalambidis, D.

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Chung, J.-H.

J.-H. Chung and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 7, 656 (2001).
[CrossRef]

Couairon, A.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Euteneuer, A.

A. Euteneuer, H. Giessen, and M. Hofmann, U.S. patent 6,671,053, International Patent WO 00/77482 A1 (December 21, 2000).

Gaeta, A. L.

Giessen, H.

A. Euteneuer, H. Giessen, and M. Hofmann, U.S. patent 6,671,053, International Patent WO 00/77482 A1 (December 21, 2000).

Hauri, C. P.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Heinrich, A.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Helbing, F. W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Hofmann, M.

A. Euteneuer, H. Giessen, and M. Hofmann, U.S. patent 6,671,053, International Patent WO 00/77482 A1 (December 21, 2000).

Hou, B.

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Iaconis, C.

Kane, D. J.

Keller, U.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Kornelis, W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Kozma, I. Z.

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

L'Huillier, A.

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Lochbrunner, S.

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

Lopez-Martens, R.

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Mashiko, H.

H. Mashiko, A. Suda, and K. Midorikawa, Appl. Phys. B 76, 525 (2003).

Midorikawa, K.

H. Mashiko, A. Suda, and K. Midorikawa, Appl. Phys. B 76, 525 (2003).

Mogi, K.

K. Naganuma, K. Mogi, and H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Mourou, G. A.

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Mysyrowicz, A.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

Naganuma, K.

K. Naganuma, K. Mogi, and H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Naumova, N. M.

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Nees, J. A.

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Nicholson, J. W.

Papadogiannis, N. A.

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Pearson, B. J.

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

Power, E.

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Pshenichnikov, M. S.

Ranka, J. K.

Riedle, E.

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

Ruchon, T.

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

Rudolph, W.

Schmidhammer, U.

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

Sokolov, I. V.

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Streltsov, A. M.

Suda, A.

H. Mashiko, A. Suda, and K. Midorikawa, Appl. Phys. B 76, 525 (2003).

Trebino, R.

Tsakiris, G. D.

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Tzallas, P.

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Walmsley, I. A.

Weinacht, T. C.

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

Weiner, A. M.

J.-H. Chung and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 7, 656 (2001).
[CrossRef]

White, J. L.

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

Wiersma, D. A.

Witte, K.

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Yamada, H.

K. Naganuma, K. Mogi, and H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Appl. Phys. B (2)

H. Mashiko, A. Suda, and K. Midorikawa, Appl. Phys. B 76, 525 (2003).

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. B 79, 673 (2004).
[CrossRef]

IEEE J. Quantum Electron. (1)

K. Naganuma, K. Mogi, and H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

J.-H. Chung and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 7, 656 (2001).
[CrossRef]

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

Nature (1)

P. Tzallas, D. Charalambidis, N. A. Papadogiannis, K. Witte, and G. D. Tsakiris, Nature 426, 267 (2003).
[CrossRef] [PubMed]

Opt. Lett. (4)

Phys. Rev. A (1)

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Hou, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

I. Z. Kozma, P. Baum, U. Schmidhammer, S. Lochbrunner, and E. Riedle, Rev. Sci. Instrum. 75, 2323 (2004).
[CrossRef]

Other (2)

A. Euteneuer, H. Giessen, and M. Hofmann, U.S. patent 6,671,053, International Patent WO 00/77482 A1 (December 21, 2000).

C. P. Hauri, T. Ruchon, F. Canova, E. Power, A. L'Huillier, and R. Lopez-Martens, in Conference on Lasers and Electro-Optics (Optical Society of America, 2006), paper JThE5.

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Figures (2)

Fig. 1
Fig. 1

(a) Split mirror autocorrelator layout. (b) Image of the focal plane for ϕ = π and (c) ϕ = 0 . The pinhole location is superimposed.

Fig. 2
Fig. 2

(a) Measured interferogram (inset), spectral power (solid curve), and retrieved phase (dashed curve). (b) Transform-limited intensity (inset, solid curve), retrieved intensity (inset, dashed curve), measured second-order autocorrelation (solid curve), and best fit autocorrelation (dotted curve).

Equations (12)

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U ̃ 1 , 2 ( x , y , ω ) = i ω c f w 0 2 ( ω ) exp ( x 2 + y 2 w 0 2 ( ω ) ) × { 1 ± i 2 π x w 0 ( ω ) F 1 1 [ 1 2 , 3 2 , ( x w 0 ( ω ) ) 2 ] } ,
E ̃ 1 , 2 ( x , y , t ) e i ω 0 t = 1 2 π E ̃ ( ω ) H ̃ 1 , 2 ( x , y , ω ) e i ω t d ω ,
S 1 ( τ ) = 1 + Re [ r r d x r 2 x 2 r 2 x 2 d y × E ̃ 1 ( x , y , t ) E ̃ 2 * ( x , y , t τ ) e i ω 0 τ d t ] ,
r r d x r 2 x 2 r 2 x 2 d y E ̃ 1 , 2 ( x , y , t ) 2 d t = 1 .
E ̃ ( ω ) 2 = F [ S 1 ( τ ) 1 ] r r d x r 2 x 2 r 2 x 2 d y H ̃ 1 ( x , y , ω ) 2 .
H ̃ 1 , 2 ( x , ω ) = α ( x , ω ) 4 T ( ω ) i ω c f w 0 2 ( ω ) exp ( x 2 w 0 2 ( ω ) ) × { 1 ± i 2 π x w 0 ( ω ) F 1 1 [ 1 2 , 3 2 , ( x w 0 ( ω ) ) 2 ] } ,
α ( x , ω ) = 1 2 π w 0 ( ω ) erf ( 2 r 2 x 2 w 0 ( ω ) ) ,
S 2 ( τ ) = 1 + 2 A 0 ( τ ) + 2 Re [ A 1 ( τ ) e i ω 0 τ ] + Re [ A 2 ( τ ) e i 2 ω 0 τ ] ,
d t r r I 1 , 2 2 ( x , t ) d x = 1 ,
A 0 ( τ ) = d t ( I 1 ( 0 , t ) I 2 ( 0 , t τ ) + 0 + r I 1 ( x , t ) [ I 2 ( x , t τ ) + I 2 ( x , t + τ ) ] d x ) ,
A 1 ( τ ) = [ I 1 ( 0 , t ) + I 2 ( 0 , t τ ) ] × E ̃ 1 ( 0 , t ) E ̃ 2 * ( 0 , t τ ) d t + 0 + r d x [ I 1 ( x , t ) + I 2 ( x , t τ ) ] × E ̃ 1 ( x , t ) E ̃ 2 * ( x , t τ ) d t + 0 + r d x [ I 1 ( x , t ) + I 2 ( x , t + τ ) ] × E ̃ 1 ( x , t ) E ̃ 2 * ( x , t + τ ) d t ,
A 2 ( τ ) = E ̃ 1 2 ( 0 , t ) E ̃ 2 * 2 ( 0 , t τ ) d t + 0 + r d x E ̃ 1 2 ( x , t ) E ̃ 2 * 2 ( x , t τ ) d t + 0 + r d x E ̃ 1 2 ( x , t ) E ̃ 2 * 2 ( x , t + τ ) d t .

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