Abstract

A simple technique for generating trains of ultrafast pulses is demonstrated in which the linear separation between pulses can be varied continuously over a wide range. These pulse trains are used to achieve tunable quasi-phase-matching of high harmonic generation over a range of harmonic orders up to the harmonic cut-off, resulting in enhancements of the harmonic intensity in excess of an order of magnitude. The peak enhancement of the harmonics is clearly shown to depend on the separation between pulses, as well as the number of pulses in the train, representing an easily tunable source of quasi-phase-matched high harmonic generation.

© 2014 Optical Society of America

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  1. T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
    [CrossRef] [PubMed]
  2. J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
    [CrossRef]
  3. M. D. Seaberg, D. E. Adams, E. L. Townsend, D. A. Raymondson, W. F. Schlotter, Y. Liu, C. S. Menoni, L. Rong, C.-C. Chen, J. Miao, H. C. Kapteyn, M. M. Murnane., “Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source,” Opt. Express 19, 22470–22479 (2011).
    [CrossRef] [PubMed]
  4. M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, F. Krausz, “Attosecond metrology” Nature (London) 414, 509–513 (2001).
    [CrossRef]
  5. A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
    [CrossRef] [PubMed]
  6. 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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
    [CrossRef] [PubMed]
  7. J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. Spielmann, F. Krausz, “Coherent superposition of laser-driven soft-x-ray harmonics from successive sources,” Nat. Phys. 3, 878–883 (2007).
    [CrossRef]
  8. M. Zepf, B. Dromey, M. Landreman, P. Foster, S. M. Hooker, “Bright Quasi-Phase-Matched Soft-X-Ray Harmonic Radiation from Argon Ions,” Phys. Rev. Lett. 99,143901 (2007).
    [CrossRef] [PubMed]
  9. X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M.M. Murnane, O. Cohen., “Quasiphasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
    [CrossRef]
  10. A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, 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]
  11. K. O’Keeffe, T. Robinson, S. M. Hooker, “Quasi-phase-matching high harmonic generation using trains of pulses produced using an array of birefringent plates,” Opt. Express 20, 6236–6247 (2012).
    [CrossRef]
  12. A. Bahabad, M. Murnane, H.C. Kapteyn, “Quasi-phase-matching of momentum and energy in nonlinear optical processes,” Nat. Photonics 4, 570–575 (2010).
    [CrossRef]
  13. R. Yano, H. Gotoh, “Tunable terahertz electromagnetic wave generation using birefringent crystal and grating pair” Jpn. J. Appl. Phys. 44,, 8470–8473 (2005).
    [CrossRef]
  14. T. Robinson, K. OKeeffe, M. Landreman, S. M. Hooker, M. Zepf, B. Dromey, “Simple technique for generating trains of ultrashort pulses” Opt. Lett. 32, 2203–2205 (2007).
    [CrossRef] [PubMed]
  15. T. Robinson, K. OKeeffe, M. Zepf, B. Dromey, 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]
  16. M. Landreman, K. OKeeffe, T. Robinson, M. Zepf, B. Dromey, 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]
  17. A. L. Lytle, X. Zhang, M. Murnane, H. C. Kapteyn, O. Cohen, “Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light,” Phys. Rev. Lett. 98,123904 (2007).
    [CrossRef] [PubMed]
  18. The Center for X-Ray Optics website: [ www.cxro.lbl.gov ].
  19. K. O’Keeffe, T. Robinson, S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains” J. Opt. 12,015201 (2010).
    [CrossRef]

2012 (2)

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

K. O’Keeffe, T. Robinson, S. M. Hooker, “Quasi-phase-matching high harmonic generation using trains of pulses produced using an array of birefringent plates,” Opt. Express 20, 6236–6247 (2012).
[CrossRef]

2011 (2)

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

M. D. Seaberg, D. E. Adams, E. L. Townsend, D. A. Raymondson, W. F. Schlotter, Y. Liu, C. S. Menoni, L. Rong, C.-C. Chen, J. Miao, H. C. Kapteyn, M. M. Murnane., “Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source,” Opt. Express 19, 22470–22479 (2011).
[CrossRef] [PubMed]

2010 (3)

A. Bahabad, M. Murnane, 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, 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. O’Keeffe, T. Robinson, S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains” J. Opt. 12,015201 (2010).
[CrossRef]

2008 (1)

2007 (6)

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

M. Zepf, B. Dromey, M. Landreman, P. Foster, S. M. Hooker, “Bright Quasi-Phase-Matched Soft-X-Ray Harmonic Radiation from Argon Ions,” Phys. Rev. Lett. 99,143901 (2007).
[CrossRef] [PubMed]

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

T. Robinson, K. OKeeffe, M. Landreman, S. M. Hooker, M. Zepf, B. Dromey, “Simple technique for generating trains of ultrashort pulses” Opt. Lett. 32, 2203–2205 (2007).
[CrossRef] [PubMed]

M. Landreman, K. OKeeffe, T. Robinson, M. Zepf, B. Dromey, 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]

A. L. Lytle, X. Zhang, M. Murnane, H. C. Kapteyn, 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 (1)

R. Yano, H. Gotoh, “Tunable terahertz electromagnetic wave generation using birefringent crystal and grating pair” Jpn. J. Appl. Phys. 44,, 8470–8473 (2005).
[CrossRef]

2003 (1)

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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

2001 (1)

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

1998 (1)

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Adams, D. E.

Ališauskas, S.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Andriukaitis, G.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[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, 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.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

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, 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, 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, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Bahabad, A.

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

Balciunas, T.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Baltuška, A.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Becker, A.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Berger, H.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Brabec, T.

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

Brown, S.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Cacho, C.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Cavalieri, A.L.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Cavalleri, A.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Chang, Z.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Chen, C.-C.

Chen, M.C.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Cohen, O.

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

Cohen., O.

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

Corkum, P.

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

Dean, N.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Dhesi, S.S.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Drescher, M.

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

Dromey, B.

Durfee, C. G.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Foster, P.

M. Zepf, B. Dromey, M. Landreman, P. Foster, S. M. Hooker, “Bright Quasi-Phase-Matched Soft-X-Ray Harmonic Radiation from Argon Ions,” Phys. Rev. Lett. 99,143901 (2007).
[CrossRef] [PubMed]

Frassetto, F.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Gaeta, A.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Gotoh, H.

R. Yano, H. Gotoh, “Tunable terahertz electromagnetic wave generation using birefringent crystal and grating pair” Jpn. J. Appl. Phys. 44,, 8470–8473 (2005).
[CrossRef]

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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Heinzmann, U.

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

Hernández-García, C.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Herne, C.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Hooker, S. M.

Jaron-Becker, A.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Kaiser, S.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Kapteyn, H. C.

M. D. Seaberg, D. E. Adams, E. L. Townsend, D. A. Raymondson, W. F. Schlotter, Y. Liu, C. S. Menoni, L. Rong, C.-C. Chen, J. Miao, H. C. Kapteyn, M. M. Murnane., “Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source,” Opt. Express 19, 22470–22479 (2011).
[CrossRef] [PubMed]

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, 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, O. Cohen., “Quasiphasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

A. L. Lytle, X. Zhang, M. Murnane, H. C. Kapteyn, 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, 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, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Kapteyn, H.C.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

A. Bahabad, M. Murnane, 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, F. Krausz, “Attosecond metrology” Nature (London) 414, 509–513 (2001).
[CrossRef]

Krausz, F.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. Spielmann, 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, F. Krausz, “Attosecond metrology” Nature (London) 414, 509–513 (2001).
[CrossRef]

Landreman, M.

Liu, H.Y.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Liu, Y.

Lytle, A. L.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, 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, O. Cohen., “Quasiphasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

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

Menoni, C. S.

Miao, J.

Milosevic, N.

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

Mücke, O.D.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Murnane, M.

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

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

Murnane, M. M.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, 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]

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, 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, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Murnane, M.M.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

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

Murnane., M. M.

O’Keeffe, K.

OKeeffe, K.

Paul, 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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Petersen, J.C.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Plaja, L.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Poletto, L.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Popmintchev, D.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Popmintchev, T.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

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

Pugzlys, A.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Raymondson, D. A.

Reider, G. A.

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

Robinson, T.

Rong, L.

Rundquist, A.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[CrossRef] [PubMed]

Sandberg, R. L.

Schlotter, W. F.

Schrauth, S.E.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Seaberg, M. D.

Seres, E.

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

Seres, J.

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

Shim, B.

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

Simoncig, A.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Spielmann, C.

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

Spielmann, Ch.

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

Springate, E.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Streli, C.

J. Seres, V. S. Yakovlev, E. Seres, C. Streli, P. Wobrauschek, C. Spielmann, F. Krausz, “Coherent superposition of laser-driven soft-x-ray harmonics from successive sources,” Nat. Phys. 3, 878–883 (2007).
[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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Townsend, E. L.

Turcu, I.C.E.

J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Wobrauschek, P.

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

Yakovlev, V. S.

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

Yano, R.

R. Yano, H. Gotoh, “Tunable terahertz electromagnetic wave generation using birefringent crystal and grating pair” Jpn. J. Appl. Phys. 44,, 8470–8473 (2005).
[CrossRef]

Zepf, M.

Zhang, X.

A. L. Lytle, X. Zhang, R. L. Sandberg, O. Cohen, H. C. Kapteyn, 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, O. Cohen., “Quasiphasematching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[CrossRef]

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

Zhou, X.

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

J. Opt. (1)

K. O’Keeffe, T. Robinson, S. M. Hooker, “Generation and control of chirped, ultrafast pulse trains” J. Opt. 12,015201 (2010).
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J. Opt. Soc. Am. B (2)

Jpn. J. Appl. Phys. (1)

R. Yano, H. Gotoh, “Tunable terahertz electromagnetic wave generation using birefringent crystal and grating pair” Jpn. J. Appl. Phys. 44,, 8470–8473 (2005).
[CrossRef]

Nat. Photonics (1)

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

Nat. Phys. (2)

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

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

Nature (London) (1)

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

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. Lett. (3)

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

M. Zepf, B. Dromey, M. Landreman, P. Foster, S. M. Hooker, “Bright Quasi-Phase-Matched Soft-X-Ray Harmonic Radiation from Argon Ions,” Phys. Rev. Lett. 99,143901 (2007).
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J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, A. Cavalleri, “Clocking the Melting Transition of Charge and Lattice Order in 1T–TaS2 with Ultrafast Extreme-Ultraviolet Angle-Resolved Photoemission Spectroscopy,” Phys. Rev. Lett. 107, 177402 (2011).
[CrossRef]

Science (3)

T. Popmintchev, M.C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Ališauskas, G. Andriukaitis, T. Balčiunas, O.D. Mücke, A. Pugzlys, A. Baltuška, B. Shim, S.E. Schrauth, A. Gaeta, C. Hernández-García, L. Plaja, A. Becker, A. Jaron-Becker, M.M. Murnane, H.C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science 336, 1287–1291 (2012).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, H. C. Kapteyn, “Phase-Matched Generation of Coherent Soft X-rays,” Science 2801412–1415 (1998)
[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, H. C. Kapteyn, “Coherent soft x-ray generation in the water window with quasi-phase matching,” Science 302, 95–98 (2003).
[CrossRef] [PubMed]

Other (1)

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

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Figures (8)

Fig. 1
Fig. 1

Schematic of technique for generating tunable pulse trains. G: grating stretcher P: polarizer (a) Waveplate axes in same orientation as axes of wedge-pair so that l′ = ΔL + Lp. (b) Waveplate axes at 90° to axes of wedge-pair so that l′ = |ΔLLp|. Fig. (b) illustrates the case of ΔL = Lp, such that l′ = 0.

Fig. 2
Fig. 2

Measured cross-correlations of pulse trains for: (a) l′ = |ΔLminLp|, (b) l′ = |ΔLmaxLp|, (c) l′ = ΔLmin + Lp, (d) l′ = ΔLmax + Lp.

Fig. 3
Fig. 3

Measured variation of pulse separation, d, and number of pulses, N, in the pulse train with effective waveplate thickness, l′. The open and closed symbols are for waveplate orientations of 0° and 90°, respectively. The dashed lines are fits to the measured data.

Fig. 4
Fig. 4

Schematic of expermental setup. TS: timing slide, GS: grating stretcher, QW: quartz wedge-pair, QP: quartz plate, P: polarizer, W: λ/2 waveplate.

Fig. 5
Fig. 5

Normalized harmonic signal in a 1nm bandwidth for harmonics q = 27 – 31 as a function of collision point for different values of l′. As q increases enhancements are observed to occur at larger values of l′, corresponding to matching shorter coherence lengths. The asterisk in each case indicates the value of l′ at which the maximum enhancement is observed. The signal has been normalized to the average obtained in the same spectral window over 30 exposures in the absence of the pulse train.

Fig. 6
Fig. 6

Harmonic spectrum generated in 14mbar Ar in the absence of a pulse train (solid blue line). The dashed lines show the largest measured signal when the pulse train was present and l′ and the collision point were optimized for that harmonic. The dotted black line shows the transmission through 5mm of 14mbar Ar (corresponding to the total length of the pulse train).

Fig. 7
Fig. 7

(a) Normalized harmonic signal as a function of the collision point for different powers P of the pulse train for: (a) q = 31, l′ = 12mm; (b) q = 23, l′ = 2mm. (c) Measured suppression of q = 23 (blue circles) and enhancement of q = 31 (red squares) as a function of P. The pulse train power has been normalized to the maximum pulse train power.

Fig. 8
Fig. 8

(a) Maximum measured enhancement of harmonic orders q = 25 – 33 as a function of l′. (b) Calculated enhancement of harmonic orders q = 25 – 33 as a function of l′ (dashed lines) including the intensity dependence of the harmonic suppression as measured experimentally. The solid lines in (b) show the calculated enhancements of harmonic orders q = 25 – 33 without including the intensity dependence of the harmonic suppression.

Equations (2)

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d = π c b l 1 β o e β o o
d E q d z = s q ( z ) exp ( i π z / L c ) α q 2 E q

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