Abstract

Quasi-phase-matched high harmonic generation using trains of up to 8 counter-propagating pulses is explored. For trains of up to 4 pulses the measured enhancement of the harmonic signal scales with the number of pulses N as (N + 1)2, as expected. However, for trains with N > 4, no further enhancement of the harmonic signal is observed. This effect is ascribed to changes of the coherence length Lc within the generating medium. Techniques for overcoming the variation of Lc are discussed. The pressure dependence of quasi-phase-matching is investigated and the switch from true-phase-matching to quasi-phase-matching is observed.

© 2012 OSA

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  4. R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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  17. B. Dromey, M. Zepf, M. Landreman, K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation of a train of ultrashort pulses from a compact birefringent crystal array,” Appl. Opt. 46, 5142–5146 (2007).
    [CrossRef] [PubMed]
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    [CrossRef]
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  20. A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
    [CrossRef] [PubMed]
  21. K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains,” J. Opt. 12,  015201 (2010).

2011

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

2010

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

A. Bahabad, M. Murnane, and H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010)
[CrossRef]

T. Robinson, K. OKeeffe, M. Zepf, B. Dromey, and S. M. Hooker, “Generation and control of ultrafast pulse trains for quasi-phase-matching high-harmonic generation,” J. Opt. Soc. Am. B 27, 763–772 (2010).
[CrossRef]

K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains,” J. Opt. 12,  015201 (2010).

2008

2007

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-x-ray harmonic radiation from argon ions,”  99, 143901 (2007).

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

B. Dromey, M. Zepf, M. Landreman, K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation of a train of ultrashort pulses from a compact birefringent crystal array,” Appl. Opt. 46, 5142–5146 (2007).
[CrossRef] [PubMed]

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

M. Landreman, K. OKeeffe, T. Robinson, M. Zepf, B. Dromey, and S. M. Hooker, “Comparison of parallel and perpendicular polarized counterpropagating light for suppressing high harmonic generation,” J. Opt. Soc. Am. B 24, 2421–2427 (2007).
[CrossRef]

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

2005

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

2003

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

2001

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 (London) 414, 509–513 (2001).
[CrossRef]

1998

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

1997

Adams, D.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Aquila, A.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Arpin, P.

Attwood, D. T.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Backus, S.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Bahabad, A.

A. Bahabad, M. Murnane, and H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010)
[CrossRef]

Bakarezos, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[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 (London) 414, 509–513 (2001).
[CrossRef]

Bünnermann, O.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Chang, Z.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Christov, I. P.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Cocke, C. L.

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

Cohen, O.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, P. Arpin, O. Cohen, M. M. Murnane, and H. C. Kapteyn, “Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses,” Opt. Lett. 33, 174–176 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

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 (London) 414, 509–513 (2001).
[CrossRef]

Drescher, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

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 (London) 414, 509–513 (2001).
[CrossRef]

Dromey, B.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

T. Robinson, K. OKeeffe, M. Zepf, B. Dromey, and S. M. Hooker, “Generation and control of ultrafast pulse trains for quasi-phase-matching high-harmonic generation,” J. Opt. Soc. Am. B 27, 763–772 (2010).
[CrossRef]

B. Dromey, M. Zepf, M. Landreman, K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation of a train of ultrashort pulses from a compact birefringent crystal array,” Appl. Opt. 46, 5142–5146 (2007).
[CrossRef] [PubMed]

M. Landreman, K. OKeeffe, T. Robinson, M. Zepf, B. Dromey, and S. M. Hooker, “Comparison of parallel and perpendicular polarized counterpropagating light for suppressing high harmonic generation,” J. Opt. Soc. Am. B 24, 2421–2427 (2007).
[CrossRef]

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-x-ray harmonic radiation from argon ions,”  99, 143901 (2007).

Durfee, C. G.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Dzelzainis, T.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Foster, P.

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-x-ray harmonic radiation from argon ions,”  99, 143901 (2007).

Gagnon, E.

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

Gaudiosi, D.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Gaudiosi, D. M.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Gessner, O.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Gibson, E. A.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Gullikson, E. M.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Hädrich, S.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Healy, A. T.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

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 (London) 414, 509–513 (2001).
[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 (London) 414, 509–513 (2001).
[CrossRef]

Herne, C.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Hoffmann, M. C.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Holtsnider, J.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Hooker, S. M.

Hu, W.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Kamperidis, C.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Kapteyn, H. C.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, P. Arpin, O. Cohen, M. M. Murnane, and H. C. Kapteyn, “Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses,” Opt. Lett. 33, 174–176 (2008).
[CrossRef] [PubMed]

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Kapteyn, H.C.

A. Bahabad, M. Murnane, and H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010)
[CrossRef]

Kienberger, R.

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 (London) 414, 509–513 (2001).
[CrossRef]

Kornilov, O.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Krausz, F.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[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 (London) 414, 509–513 (2001).
[CrossRef]

Landreman, M.

Leonard, M.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Leone, S. R.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Liu, Y.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Lytle, A. L.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, P. Arpin, O. Cohen, M. M. Murnane, and H. C. Kapteyn, “Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses,” Opt. Lett. 33, 174–176 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

Miao, J.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[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 (London) 414, 509–513 (2001).
[CrossRef]

Murnane, M.

A. Bahabad, M. Murnane, and H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010)
[CrossRef]

Murnane, M. M.

A. L. Lytle, X. Zhang, P. Arpin, O. Cohen, M. M. Murnane, and H. C. Kapteyn, “Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses,” Opt. Lett. 33, 174–176 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Neumark, D. M.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

OKeeffe, K.

Papadogiannis, N. A.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Paul, A.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Peatross, J.

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

J. Peatross, S. Voronov, and I. Prokopovich, “Selective zoning of high harmonic emission using counter-propagating light,” Opt. Express 1, 114–125 (1997)
[CrossRef] [PubMed]

Peng, C.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Popmintchev, T.

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

Prokopovich, I.

Ranitovic, P.

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

Raymondson, D. A.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

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 (London) 414, 509–513 (2001).
[CrossRef]

Riedel, R.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Robinson, T.

Rossbach, J.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Rundquist, A.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Salmassi, F.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Sandberg, R. L.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Sandhu, A. S.

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

Schulz, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Scrinzi, A.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Seres, E.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Seres, J.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Song, C.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Spielmann, C.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Spielmann, Ch.

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 (London) 414, 509–513 (2001).
[CrossRef]

Streli, C.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Tatarakis, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Tavella, F.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Tempea, G.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Tobey, R.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Tobey, R. I.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

Tong, X.M.

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Voronov, S.

Wagner, N.

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Wang, C. C.

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Willner, A.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Wobrauschek, P.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. 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, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Yakovlev, V.

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[CrossRef]

Yakovlev, V. S.

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

Yeung, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

Zepf, M.

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

T. Robinson, K. OKeeffe, M. Zepf, B. Dromey, and S. M. Hooker, “Generation and control of ultrafast pulse trains for quasi-phase-matching high-harmonic generation,” J. Opt. Soc. Am. B 27, 763–772 (2010).
[CrossRef]

B. Dromey, M. Zepf, M. Landreman, K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation of a train of ultrashort pulses from a compact birefringent crystal array,” Appl. Opt. 46, 5142–5146 (2007).
[CrossRef] [PubMed]

M. Landreman, K. OKeeffe, T. Robinson, M. Zepf, B. Dromey, and S. M. Hooker, “Comparison of parallel and perpendicular polarized counterpropagating light for suppressing high harmonic generation,” J. Opt. Soc. Am. B 24, 2421–2427 (2007).
[CrossRef]

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-x-ray harmonic radiation from argon ions,”  99, 143901 (2007).

Zhang, X.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, and M. M. Murnane, “Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light,” Opt. Express 16, 6544–6566 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, P. Arpin, O. Cohen, M. M. Murnane, and H. C. Kapteyn, “Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses,” Opt. Lett. 33, 174–176 (2008).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

Zhou, X.

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

Appl. Opt.

J. Opt.

K. OKeeffe, T. Robinson, and S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains,” J. Opt. 12,  015201 (2010).

J. Opt. Soc. Am. B

J. Phys. Chem. A

O. Kornilov, C. C. Wang, O. Bünnermann, A. T. Healy, M. Leonard, C. Peng, S. R. Leone, D. M. Neumark, and O. Gessner, “Ultrafast dynamics in helium nanodroplets probed by femtosecond time-resolved EUV photoelectron imaging,” J. Phys. Chem. A 114, 1437–1445 (2010).
[CrossRef] [PubMed]

Nat. Photonics

A. Bahabad, M. Murnane, and H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010)
[CrossRef]

Nat. Phys.

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

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

Nature (London)

J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, “Laser technology: source of coherent kiloelectronvolt x-rays,” Nature (London) 433, 596 (2005).
[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 (London) 414, 509–513 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007).
[CrossRef] [PubMed]

A. Willner, F. Tavella, M. Yeung, T. Dzelzainis, C. Kamperidis, M. Bakarezos, D. Adams, M. Schulz, R. Riedel, M. C. Hoffmann, W. Hu, J. Rossbach, M. Drescher, N. A. Papadogiannis, M. Tatarakis, B. Dromey, and M. Zepf, “Coherent control of high harmonic generation via dual-gas multijet arrays,” Phys. Rev. Lett. 107, 175002 (2011).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, J. Peatross, M. M. Murnane, H. C. Kapteyn, and O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98, 123904 (2007).
[CrossRef] [PubMed]

Science

E. A. Gibson, A. Paul, N. Wagner, R. Tobey, D. Gaudiosi, S. Backus, I. P. Christov, A. Aquila, E. M. Gullikson, D. T. Attwood, M. M. Murnane, and H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

E. Gagnon, P. Ranitovic, X.M. Tong, C. L. Cocke, M. M. Murnane, H. C. Kapteyn, and A. S. Sandhu, “Soft x-ray-driven femtosecond molecular dynamics,” Science 317, 1374–1378 (2007).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 280, 1412–1415 (1998)
[CrossRef] [PubMed]

Other

The Center for X-Ray Optics website: [ www.cxro.lbl.gov ].

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-x-ray harmonic radiation from argon ions,”  99, 143901 (2007).

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Figures (8)

Fig. 1
Fig. 1

Cross-correlation of the pulse train generated when the 3.304mm calcite plate is orientated with its optic axis parallel to the polarization of the incident pulse. The resulting pulse train consists of 8 uniformly-spaced macropulses, each macropulse consisting of 4 closely spaced pulses.

Fig. 2
Fig. 2

Calculated coherence length for 10mbar Ar as a function of harmonic order q for various ionization levels. The horizontal black lines illustrate the coherence lengths which can be matched using the pulse trains summarized in Table 1.

Fig. 3
Fig. 3

Schematic diagram of the experimental arrangement. The scale above the waveguide corresponds to the z scale shown in Fig. 5(a)

Fig. 4
Fig. 4

Measured enhancement as a function of harmonic order q for trains of 2 (blue circles) and 4 pulses (red squares). For the 2-pulse train w = d = 1080 μm, and for the 4-pulse train w = d = 540 μm. The expected enhancement of the harmonics is also illustrated for the case of 2 pulses (blue solid line) and 4 pulses (red solid line). The error bars are calculated by taking the standard deviation of the harmonic signal over 20 exposures in the absence of a counter-propagating train and the standard deviation of the harmonic signal at the peak enhancement.

Fig. 5
Fig. 5

(a) Measured enhancement as a function of z for trains of N = 1 (black line), 2 (green line), 4 (blue line), and 8 pulses (red line), where w = d = 540 μm. (b) Measured enhancement of the 27th harmonic as a function of N (circles), as well as the expected scaling of harmonic intensity with pulse number (solid line). The error bars are calculated by taking the standard deviation of the harmonic signal over 20 exposures in the absence of a counter-propagating train and the standard deviation of the harmonic signal at the peak enhancement.

Fig. 6
Fig. 6

Calculated enhancement as a function of cτ/Lc, where τ is the delay between the arrival of the driving pulse and a train of 8 uniformly-spaced pulses. Plotted are the enhancements for the case of a uniform medium with a constant coherence length (dashed line), and in a medium in which the coherence length varies by 10% over the length of the medium (solid line). The calculated enhancement for PTQPM with N = 4 pulses in the same medium is also shown (grey dotted line). The inset shows the variation of coherence length along the generating medium for the case of constant Lc (dashed line) and a 10% variation of Lc (solid line).

Fig. 7
Fig. 7

Measured harmonic signal of q = 27 as a function of pressure with (open circles), and without (filled squares) a counter-propagating train of N = 4 pulses. The solid line shows the calculated intensity of the 27th harmonic, in the absence of a pulse train, for η = 0.026, corresponding to phase-matched conditions.

Fig. 8
Fig. 8

Measured harmonic signal of q = 27 as a function of pressure in the presence of 4 counter-propagating pulses (open circles). The dashed line shows the calculated signal as a function of pressure for a fixed value of the ionization fraction η = 0.4.

Tables (1)

Tables Icon

Table 1 Maximum Number of Pulses in a Train, Nmax, and the Corresponding Pulse Width, w, and Separation, d, for Pulse Trains where w = d

Equations (3)

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Δ k q ' = N e r e λ 0 q + 2 π λ 0 q [ n ( λ 0 ) n ( λ 0 q ) ] ( 1 η ) P P atm u 1 , 1 2 λ 0 q 4 π a 2
d E q d z = N a s q ( z ) exp ( i Δ k q z ) α q 2 E q
I QPM I = ( N + δ ) 2 δ 2

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