Abstract

The phase stability of broadband (280nm bandwidth) terawatt-class parametric amplification was measured, for the first time to our knowledge, with a combination of spatial and spectral interferometry. Measurements at four different wavelengths from 750 to 900nm were performed in combination with numerical modeling. The phase stability is better than 123rms of an optical cycle for all the measured wavelengths, depending on the phase-matching conditions in the amplifier.

© 2007 Optical Society of America

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  1. S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
    [CrossRef] [PubMed]
  2. A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
    [CrossRef] [PubMed]
  3. M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
    [CrossRef] [PubMed]
  4. A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
    [CrossRef]
  5. C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, Appl. Phys. (N.Y.) 79, 673 (2004).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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2007 (1)

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

2006 (4)

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

S. Witte, R. Th. Zinkstok, A. L. Wolf, W. Hogervorst, W. Ubachs, and K. S. E. Eikema, Opt. Express 14, 8168 (2006).
[CrossRef] [PubMed]

C. Vozzi, G. Cirmi, C. Manzoni, E. Benedetti, F. Calegari, G. Sansone, S. Stagira, O. Svelto, S. De Silvestri, M. Nisoli, and G. Cerullo, Opt. Express 14, 10109 (2006).
[CrossRef] [PubMed]

2005 (2)

R. Th. Zinkstok, S. Witte, W. Hogervorst, and K. S. E. Eikema, Opt. Lett. 30, 78 (2005).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

2004 (3)

2003 (1)

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

1995 (1)

1982 (1)

Anderson, R.

Arisholm, G.

Baltuska, A.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

A. Baltuska, T. Fuji, and T. Kobayashi, Phys. Rev. Lett. 88, 133901 (2002).
[CrossRef] [PubMed]

Benedetti, E.

Biegert, J.

C. P. Hauri, P. Schlup, G. Arisholm, J. Biegert, and U. Keller, Opt. Lett. 29, 1369 (2004).
[CrossRef] [PubMed]

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

Calegari, F.

Cerullo, G.

Chériaux, G.

Cirmi, G.

Couairon, A.

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

De Silvestri, S.

Drescher, M.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Eikema, K. S. E.

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

S. Witte, R. Th. Zinkstok, A. L. Wolf, W. Hogervorst, W. Ubachs, and K. S. E. Eikema, Opt. Express 14, 8168 (2006).
[CrossRef] [PubMed]

R. Th. Zinkstok, S. Witte, W. Hogervorst, and K. S. E. Eikema, Opt. Lett. 30, 78 (2005).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

Flannery, B. P.

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge U. Press, 1992).

Fuji, T.

A. Baltuska, T. Fuji, and T. Kobayashi, Phys. Rev. Lett. 88, 133901 (2002).
[CrossRef] [PubMed]

Fujihira, Y.

Gagnon, E.

Gohle, Ch.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Goulielmakis, E.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Hänsch, T. W.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Hauri, C. P.

C. P. Hauri, P. Schlup, G. Arisholm, J. Biegert, and U. Keller, Opt. Lett. 29, 1369 (2004).
[CrossRef] [PubMed]

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

Heinrich, A.

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

Helbing, F. W.

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

Hentschel, M.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Hogervorst, W.

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

S. Witte, R. Th. Zinkstok, A. L. Wolf, W. Hogervorst, W. Ubachs, and K. S. E. Eikema, Opt. Express 14, 8168 (2006).
[CrossRef] [PubMed]

R. Th. Zinkstok, S. Witte, W. Hogervorst, and K. S. E. Eikema, Opt. Lett. 30, 78 (2005).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

Holzwarth, R.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Homma, T.

Ina, H.

Joffre, M.

Jones, R. J.

Kakehata, M.

Kapteyn, H.

Keller, U.

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

C. P. Hauri, P. Schlup, G. Arisholm, J. Biegert, and U. Keller, Opt. Lett. 29, 1369 (2004).
[CrossRef] [PubMed]

Khan, J. I.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Kling, M. F.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Kobayashi, S.

Kobayashi, T.

A. Baltuska, T. Fuji, and T. Kobayashi, Phys. Rev. Lett. 88, 133901 (2002).
[CrossRef] [PubMed]

Kobayashi, Y.

Kornelis, W.

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

Krausz, F.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Lepetit, L.

Lytle, A.

Manzoni, C.

Matousek, P.

Murnane, M.

Mysyrowicz, A.

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

New, G. H. C.

Ni, Y.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Nisoli, M.

Nomura, Y.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

Osvay, K.

Press, W. H.

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge U. Press, 1992).

Ross, I. N.

Sandhu, A. S.

Sansone, G.

Schlup, P.

Schmid, K.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

Schultze, M.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Scrinzi, A.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Seres, J.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

Siedschlag, Ch.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Stagira, S.

Svelto, O.

Takada, H.

Takahashi, H.

Takeda, M.

Tempea, G.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

Teukolsky, S. A.

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge U. Press, 1992).

Thomann, I.

Torizuka, K.

Ubachs, W.

Udem, Th.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Uiberacker, M.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Uphues, Th.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Veisz, L.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

Verhoef, A. J.

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Vetterling, W. T.

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge U. Press, 1992).

Vozzi, C.

Vrakking, M. J. J.

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

Witte, S.

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

S. Witte, R. Th. Zinkstok, A. L. Wolf, W. Hogervorst, W. Ubachs, and K. S. E. Eikema, Opt. Express 14, 8168 (2006).
[CrossRef] [PubMed]

R. Th. Zinkstok, S. Witte, W. Hogervorst, and K. S. E. Eikema, Opt. Lett. 30, 78 (2005).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

Wolf, A. L.

Yakovlev, V. S.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Ye, J.

Zinkstok, R. Th.

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

S. Witte, R. Th. Zinkstok, A. L. Wolf, W. Hogervorst, W. Ubachs, and K. S. E. Eikema, Opt. Express 14, 8168 (2006).
[CrossRef] [PubMed]

R. Th. Zinkstok, S. Witte, W. Hogervorst, and K. S. E. Eikema, Opt. Lett. 30, 78 (2005).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

Appl. Phys. (N.Y.) (1)

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

Appl. Phys. B (2)

S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B 87, 677 (2007).
[CrossRef]

A. J. Verhoef, J. Seres, K. Schmid, Y. Nomura, G. Tempea, L. Veisz, and F. Krausz, Appl. Phys. B 82, 513 (2006).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Nature (1)

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

A. Baltuska, T. Fuji, and T. Kobayashi, Phys. Rev. Lett. 88, 133901 (2002).
[CrossRef] [PubMed]

Science (2)

M. F. Kling, Ch. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, Th. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, Science 312, 246 (2006).
[CrossRef] [PubMed]

S. Witte, R. Th. Zinkstok, W. Ubachs, W. Hogervorst, and K. S. E. Eikema, Science 307, 400 (2005).
[CrossRef] [PubMed]

Other (1)

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge U. Press, 1992).

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Figures (4)

Fig. 1
Fig. 1

Setup used to measure the phase stability of the TW NOPCPA system. The path through the NOPCPA is 5 m , while the recombination section is in reality only a few tens of centimeters. BS, beam splitter; DM, dichroic mirror; PD, photodiode; IF, interference filter; NG, neutral gray filter; PBS, polarizing beam splitter; PC, Pockels cell; IR, infrared beam; G, grating 1200 lines mm .

Fig. 2
Fig. 2

Evolution in time of the interference pattern for (a) He Ne and (b) NOPCPA ( λ = 850 nm ) together with the derived phase traces, which are also depicted in (c) ( He Ne , red; raw NOPCPA, black), as well as the corrected phase noise of the NOPCPA (see text).

Fig. 3
Fig. 3

(a) Measured spectrum of the amplified NOPCPA output (black trace), along with a simulated spectrum for phase-matching angle θ = 23.887 ° and noncollinear angle α = 2.40 ° (green or light gray curve) and the phase mismatch curve Δ k L for a 5 mm long BBO crystal with the phase-matching angles as used in the simulation (red or thin black curve). (b) Total pump-induced phase shift introduced by a complete pass through the amplifier according to Eq. (1). (c) Wavelength-dependent phase shift resulting from a 5% increase in pump intensity.

Fig. 4
Fig. 4

Influence of the phase-matching angle on the phase of the NOPCPA. (a), (b) NOPCPA spectra for two different phase-matching angles, separated by 0.06 ° . (c) NOPCPA intensity at 795 nm (black) and pump intensity (red or gray). (d) Phase evolution with (red or gray) and without (black) the NOPCPA switched on (For RC between pump intensity and phase, see text).

Equations (1)

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φ s ( L ) = φ s ( 0 ) Δ k 2 0 L f f + γ s 2 d z .

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