Abstract

We report the feasibility of precision broadband dispersion control with multilayer mirrors produced in a single coating run. Inherent fluctuations of the group-delay dispersion (GDD) are suppressed by using the mirrors at two different angles of incidence. With a specialized version of the needle optimization algorithm, we have designed the multilayer structure to yield a complementary pair with a resultant GDD substantially free from spectral oscillations characteristic of broadband chirped multilayers. Since the mirrors employed at two different incidence angles are produced in a single deposition run, their overall dispersion is more robust to errors in layer thicknesses than that of previous complementary mirror pairs manufactured in two different steps. This offers the potential for improving production yield and quality of femtosecond dispersion control. We have successfully used the first “double-angle” mirrors for compressing pulses to a duration of 4.3 fs.

© 2009 Optical Society of America

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  33. T. Amotchkina, M. K. Trubetskov, A. V. Tikhonravov, A. Apolonski, F. Krausz, and V. Pervak, "Measurement of group delay of dispersive mirrors with white-light interferometer," Appl. Opt. 48, 949-956 (2009).
    [CrossRef] [PubMed]

2009

2008

2007

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

V. Pervak, F. Krausz, and A. Apolonski "Hafnium oxide films made by magnetron sputtering system," Thin Solid Films 515, 7984-7989 (2007).
[CrossRef]

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, "Optical coating design approaches based on the needle optimization technique," Appl. Opt. 46, 704-710 (2007).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: two-material technology versus rugate," Appl. Opt. 46, 1190-1193 (2007).
[CrossRef] [PubMed]

V. Pervak, F. Krausz, A. Apolonski "Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers," Opt. Lett. 32, 1183-1185 (2007).
[CrossRef] [PubMed]

2006

2005

P. Dombi, V. S. Yakovlev, K. O'Keeffe, T. Fuji, M. Lezius, and G. Tempea, "Pulse compression with time-domain optimized chirped mirrors," Opt. Express 13, 10888-10894 (2005).
[CrossRef] [PubMed]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

2003

2001

2000

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

B. Golubovic, R. R. Austin, M. K. Steiner-Shepard, M. K. Reed, S. A. Diddams, D. J. Jones, and A. G. Van Engen, "Double Gires—Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers," Opt. Lett. 25, 275-277 (2000).
[CrossRef]

1999

N. Matuschek, F. X. Kärtner, and U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).
[CrossRef]

1997

1996

1994

Ahmad, I.

Amotchkina, T.

Angelow, G.

Apai, P.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Apolonski, A.

T. Amotchkina, M. K. Trubetskov, A. V. Tikhonravov, A. Apolonski, F. Krausz, and V. Pervak, "Measurement of group delay of dispersive mirrors with white-light interferometer," Appl. Opt. 48, 949-956 (2009).
[CrossRef] [PubMed]

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, "High-dispersive mirrors for femtosecond lasers," Opt. Express 16, 10220-10233 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

V. Pervak, F. Krausz, and A. Apolonski "Hafnium oxide films made by magnetron sputtering system," Thin Solid Films 515, 7984-7989 (2007).
[CrossRef]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: two-material technology versus rugate," Appl. Opt. 46, 1190-1193 (2007).
[CrossRef] [PubMed]

V. Pervak, F. Krausz, A. Apolonski "Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers," Opt. Lett. 32, 1183-1185 (2007).
[CrossRef] [PubMed]

Aquila, A. L.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Attwood, D. T.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Austin, R. R.

Bacovic, B.

Baum, P.

Benavides, S.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Brabec, T.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Breuer, M.

Buck, A.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Cavalieri, A. L.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Corkum, P.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

DeBell, G.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

DeBell, G. W.

Diddams, S. A.

Dombi, P.

Drescher, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Ell, R.

Ferencz, K.

Fieß, M.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Fuji, T.

Fujimoto, J. G.

Fulop, J.

Gagnon, J.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Gallmann, L.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

Golubovic, B.

Goulielmakis, E.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Gullikson, E. M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Haus, H. A.

Heine, C.

Heinzmann, U.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Helml, W.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Hentschel, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Herrmann, D.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Hidding, B.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Hofstetter, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Horvath, B.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Ippen, E. P.

Ivanov, M.

F. Krausz and M. Ivanov, "Attosecond physics," Rev. Mod. Phys. 81, 163-234 (2009).
[CrossRef]

Jones, D. J.

Kartner, F. X.

Kärtner, F. X.

Keller, U.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

N. Matuschek, F. X. Kärtner, and U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).
[CrossRef]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, "Design and fabrication of double-chirped mirrors," Opt. Lett. 22, 831-833 (1997).
[CrossRef] [PubMed]

Kienberger, R.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Kleineberg, U.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Koházi-Kis, A.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Kovács, A. P.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Krausz, F.

F. Krausz and M. Ivanov, "Attosecond physics," Rev. Mod. Phys. 81, 163-234 (2009).
[CrossRef]

T. Amotchkina, M. K. Trubetskov, A. V. Tikhonravov, A. Apolonski, F. Krausz, and V. Pervak, "Measurement of group delay of dispersive mirrors with white-light interferometer," Appl. Opt. 48, 949-956 (2009).
[CrossRef] [PubMed]

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, "High-dispersive mirrors for femtosecond lasers," Opt. Express 16, 10220-10233 (2008).
[CrossRef] [PubMed]

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

V. Pervak, F. Krausz, A. Apolonski "Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers," Opt. Lett. 32, 1183-1185 (2007).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: two-material technology versus rugate," Appl. Opt. 46, 1190-1193 (2007).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

V. Pervak, F. Krausz, and A. Apolonski "Hafnium oxide films made by magnetron sputtering system," Thin Solid Films 515, 7984-7989 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, "Tilted-front-interface chirped mirrors," J. Opt. Soc. Am. B 18, 1747-1750 (2001).
[CrossRef]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, "Chirped multilayer coatings for broadband dispersion control in femtosecond lasers," Opt. Lett. 19, 201-203 (1994).
[CrossRef] [PubMed]

Lako, S.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Lezius, M.

Louderback, A. W.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Matuschek, N.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

N. Matuschek, F. X. Kärtner, and U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).
[CrossRef]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, "Design and fabrication of double-chirped mirrors," Opt. Lett. 22, 831-833 (1997).
[CrossRef] [PubMed]

Milosevic, N.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Morf, R.

Morgner, U.

Mott, L.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Naumov, S.

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, "High-dispersive mirrors for femtosecond lasers," Opt. Express 16, 10220-10233 (2008).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

O'Keeffe, K.

Pervak, V.

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, "Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses," Opt. Express 17, 2207-2217 (2009).
[CrossRef] [PubMed]

T. Amotchkina, M. K. Trubetskov, A. V. Tikhonravov, A. Apolonski, F. Krausz, and V. Pervak, "Measurement of group delay of dispersive mirrors with white-light interferometer," Appl. Opt. 48, 949-956 (2009).
[CrossRef] [PubMed]

V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, "High-dispersive mirrors for femtosecond lasers," Opt. Express 16, 10220-10233 (2008).
[CrossRef] [PubMed]

M. Trubetskov, A. Tikhonravov, and V. Pervak, "Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory," Opt. Express 16, 20637-20647 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

V. Pervak, F. Krausz, and A. Apolonski "Hafnium oxide films made by magnetron sputtering system," Thin Solid Films 515, 7984-7989 (2007).
[CrossRef]

V. Pervak, F. Krausz, A. Apolonski "Dispersion control over the UV-VIS-NIR spectral range with HfO2/SiO2 chirped dielectric multilayers," Opt. Lett. 32, 1183-1185 (2007).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: two-material technology versus rugate," Appl. Opt. 46, 1190-1193 (2007).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

Pistner, J.

Reed, M. K.

Reider, G. A.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Riedle, E.

Scheuer, V.

Schibli, T.

Schmid, K.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Schultze, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Scrinzi, A.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Seres, E.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Seres, J.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Spielmann, C.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, "Chirped multilayer coatings for broadband dispersion control in femtosecond lasers," Opt. Lett. 19, 201-203 (1994).
[CrossRef] [PubMed]

Spielmann, Ch.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

Steiner-Shepard, M. K.

Steinmeyer, G.

Streli, C.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Streli, Ch.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

Sugita, A.

Sutter, D. H.

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

Szipocs, R.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Szipöcs, R.

Tautz, R.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Tavella, F.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Teisset, C.

Tempea, G.

Tikhonravov, A.

Tikhonravov, A. V.

Tikhonravov, A.V.

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

Tilsch, M.

Trubetskov, M.

Trubetskov, M. K.

T. Amotchkina, M. K. Trubetskov, A. V. Tikhonravov, A. Apolonski, F. Krausz, and V. Pervak, "Measurement of group delay of dispersive mirrors with white-light interferometer," Appl. Opt. 48, 949-956 (2009).
[CrossRef] [PubMed]

V. Pervak, I. Ahmad, J. Fulop, M. K. Trubetskov, and A. V. Tikhonravov, "Comparison of dispersive mirrors based on the time-domain and conventional approaches, for sub-5-fs pulses," Opt. Express 17, 2207-2217 (2009).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: two-material technology versus rugate," Appl. Opt. 46, 1190-1193 (2007).
[CrossRef] [PubMed]

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, "Optical coating design approaches based on the needle optimization technique," Appl. Opt. 46, 704-710 (2007).
[CrossRef] [PubMed]

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, "Application of the needle optimization technique to the design of optical coatings," Appl. Opt. 35, 5493-5508 (1996).
[CrossRef] [PubMed]

Tschudi, T.

Uiberacker, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Van Engen, A. G.

Veisz, L.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Verhoef, A. J.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Wobrauschek, P.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

Yakovlev, V.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, and K. Ferencz, "Tilted-front-interface chirped mirrors," J. Opt. Soc. Am. B 18, 1747-1750 (2001).
[CrossRef]

Yakovlev, V. S.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

P. Dombi, V. S. Yakovlev, K. O'Keeffe, T. Fuji, M. Lezius, and G. Tempea, "Pulse compression with time-domain optimized chirped mirrors," Opt. Express 13, 10888-10894 (2005).
[CrossRef] [PubMed]

Appl. Opt.

Appl. Phys. B

R. Szipocs, A. Koházi-Kis, S. Lako, P. Apai, A. P. Kovács, G. DeBell, L. Mott, A. W. Louderback, A.V. Tikhonravov, M. K. Trubetskov, "Negative Dispersion Mirrors for Dispersion Control in Femtosecond Lasers: Chirped Dielectric Mirrors and Multi-cavity Gires-Tournois Interferometers," Appl. Phys. B 70, S51-S57 (2000).

N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, and U. Keller, "Back-side-coated chirped mirrors with ultrasmooth broadband dispersion characteristics," Appl. Phys. B 71, 509-522 (2000).
[CrossRef]

Appl. Phys. B.

V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, "1.5-octave chirped mirror for pulse compression down to sub-3 fs," Appl. Phys. B. 87, 5-12, (2007).
[CrossRef]

IEEE J. Quantum Electron.

N. Matuschek, F. X. Kärtner, and U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Phys.

Q1. J. Seres, V. S. Yakovlev, E. Seres, Ch. Streli, P. Wobrauschek, Ch. Spielmann, and F. Krausz, "Coherent superposition of laser-driven soft-X-ray harmonics from successive sources," Nat. Phys. 3, 878-883 (2007).
[CrossRef]

Nature

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, "Attosecond metrology," Nature 414, 509-513 (2001).
[CrossRef] [PubMed]

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, "Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
[CrossRef] [PubMed]

New J. Phys.

A. L. Cavalieri, E. Goulielmakis, B. Horvath, W. Helml, M. Schultze, M. Fieß, V. Pervak, L. Veisz, V. Yakovlev, M. Uiberacker, A. Apolonski, F. Krausz and R. Kienberger, "Intense 1.5-cycle near infrared laser waveforms and their use for the generation of ultrabroad-band soft-X-ray harmonic continua," New J. Phys. 9, 242 (2007).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, and B. Hidding," Few-Cycle-Laser-Driven Electron Acceleration," Phys. Rev. Lett. 102, 124801 (2009).
[CrossRef] [PubMed]

Rev. Mod. Phys.

F. Krausz and M. Ivanov, "Attosecond physics," Rev. Mod. Phys. 81, 163-234 (2009).
[CrossRef]

Science

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, "Single-Cycle Nonlinear Optics," Science 320, 1614-1617 (2008).
[CrossRef] [PubMed]

Thin Solid Films

V. Pervak, F. Krausz, and A. Apolonski "Hafnium oxide films made by magnetron sputtering system," Thin Solid Films 515, 7984-7989 (2007).
[CrossRef]

Other

V. Pervak, S. Naumov, G. Tempea, V. Yakovlev, F. Krausz, and A. Apolonski, "Synthesis and manufacturing the mirrors for ultrafast optics," Advances in Optical Thin Films II, Claude Amra, Norbert Kaiser, H. Angus Macleod, eds., Proc. SPIE 5963, 490-500 (2005).

H.A. Macleod, Thin-Film Optical Filters, 3rd edition, Bristol: Adam Hilger Ltd. (2001).
[CrossRef]

A. V. Tikhonravov and M. K. Trubetskov, OptiLayer Thin Film Software, http://www.optilayer.com

V. Laude and P. Tournois, "Chirped mirror pairs for ultrabroadband dispersion control," in Digest of Conference on Lasers and Electro-Optics (CLEO(US) (Optical Society of America, 1999) 187-188.

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Figures (8)

Fig. 1.
Fig. 1.

Schematic of a double-angle DM compressor. The four mirrors employed have been produced in the same coating run with their multilayer structure optimized for mutual cancellations of GDD oscillations at the two different angles of incidence chosen: α=20° and β=5°.

Fig. 2.
Fig. 2.

Characteristics of a DM designed with the double angle approach. Red and blue curves correspond to angles of incidence of 5 and 20 degrees, respectively. Green curves show the effective GDD and reflectance, see definitions in text. Dashed curve and curve in the inset of the figure is the target GDD.

Fig. 3.
Fig. 3.

Physical thicknesses of layers in our prototypical double-angle DM design. Layers are numbered starting from the substrate. Green and red bars correspond to low and high refractive index materials, SiO2 and Nb2O5, respectively.

Fig. 4.
Fig. 4.

Spectrum of femtosecond pulses originating from our gas-filled hollow fiber. With constant or linearly-varying spectral phase, it allows the generation of 4.2-fs transform-limited pulses.

Fig. 5.
Fig. 5.

4.2-fs Fourier-limited pulse before (dashed line) and after (full line) propagation through dispersive material and our double-angle DM compressor sketched in Fig. 1.

Fig. 6.
Fig. 6.

Error analysis of our prototypical double-angle DM. Top panel (a) represents the hypothetical case of independent thickness errors in the two complementary DMs. Bottom panel (b) shows the case of identical thickness errors in the both DMs of the pair. Blue curves represent theoretical spectral dependence of GDD, green areas represent the probable range of GDD values, for details, see text.

Fig. 7.
Fig. 7.

Measured GDD and reflectance of our prototypical double-angle DM for an angle of incidence of 5 and 20 degrees (full lines). GDD and reflectance of the theoretical design are shown by dashed lines. Red and blue curves correspond to angles of incidence of 5 and 20 degrees, respectively. Dark green and dark blue curves show the effective measured GDD and reflectance, see definitions in text.

Fig. 8.
Fig. 8.

Dashed line: theoretical interferometric autocorrelation of a pulse with the frequency spectrum shown in Fig. 4 in the absence of spectral phase modulation. This Fourier-limited pulse has a duration (FWHM) of 4.2 fs. Full line: measured interferometric autocorrelation function of the pulses compressed with our prototypical double-angle DM compressor, indicating a pulse duration of ~ 4.3 fs.

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