Abstract

High-harmonic generation is widely used for providing extreme ultraviolet radiation in attosecond science. Such experiments include photoelectron spectroscopy, diffractive imaging, or the investigation of spin dynamics. Many applications are restricted by a low photon flux which originates from the low efficiency of the generation process. In this article an effective method based on the quasi-phase-matched generation of high harmonics in spatially structured, laser ablated plasma is demonstrated. Through a proper dimensioning of the plasma structure, the harmonic yield is optimized for a controllable range of harmonic orders. By using four coherent zones, the intensity of a single harmonic is increased to a maximal possible value of 16 compared to using a single zone. The Gouy phase shift of the fundamental field is identified as the primary effect responsible for constructive interference of the harmonic fields generated in the individual plasma jets of the plasma structure.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2017 (1)

2016 (2)

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24, 3414–3423 (2016).
[Crossref] [PubMed]

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

2015 (3)

N. Rosenthal and G. Marcus, “Discriminating between the role of phase matching and that of the single-atom response in resonance plasma-plume high-order harmonic generation,” Phys. Rev. Lett. 115, 133901 (2015).
[Crossref] [PubMed]

R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
[Crossref]

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[Crossref]

2014 (2)

S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89, 033821 (2014).
[Crossref]

2012 (1)

2011 (2)

C. M. Heyl, J. Güdde, U. Höfer, and A. L’Huillier, “Spectrally resolved maker fringes in high-order harmonic generation,” Phys. Rev. Lett. 107, 033903 (2011).
[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]

2008 (1)

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78, 011801 (2008).
[Crossref]

2007 (5)

T. Auguste, B. Carré, and P. Salières, “Quasi-phase-matching of high-order harmonics using a modulated atomic density,” Phys. Rev. A 76, 011802 (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]

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-X-ray harmonic radiation from argon ions,” Phys. Rev. Lett. 99, 143901 (2007).
[Crossref] [PubMed]

B. Dromey, M. Zepf, M. Landreman, and S. M. Hooker, “Quasi-phasematching of harmonic generation via multimode beating in waveguides,” Opt. Express 15, 7894–7900 (2007).
[Crossref] [PubMed]

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

2006 (3)

2005 (2)

R. Ganeev, M. Suzuki, M. Baba, and H. Kuroda, “Generation of strong coherent extreme ultraviolet radiation from the laser plasma produced on the surface of solid targets,” Appl. Phys. B 81, 1081–1089 (2005).
[Crossref]

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

2003 (2)

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[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]

2002 (1)

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

2001 (1)

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

2000 (1)

1999 (3)

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
[Crossref]

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. B 32, 2973 (1999).
[Crossref]

1998 (1)

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 (1)

1995 (2)

P. Salières, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74, 3776–3779 (1995).
[Crossref] [PubMed]

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52, 4747–4754 (1995).
[Crossref] [PubMed]

1994 (2)

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

W. Becker, S. Long, and J. K. McIver, “Modeling harmonic generation by a zero-range potential,” Phys. Rev. A 50, 1540–1560 (1994).
[Crossref] [PubMed]

1993 (2)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[Crossref] [PubMed]

P. Balcou and A. L’Huillier, “Phase-matching effects in strong-field harmonic generation,” Phys. Rev. A 47, 1447–1459 (1993).
[Crossref] [PubMed]

1992 (2)

Y. Akiyama, K. Midorikawa, Y. Matsunawa, Y. Nagata, M. Obara, H. Tashiro, and K. Toyoda, “Generation of high-order harmonics using laser-produced rare-gas-like ions,” Phys. Rev. Lett. 69, 2176–2179 (1992).
[Crossref] [PubMed]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).
[Crossref]

1989 (1)

X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompré, and G. Mainfray, “Multiple-harmonic generation in rare gases at high laser intensity,” Phys. Rev. A 39, 5751–5761 (1989).
[Crossref]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[Crossref]

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]

Aitchison, J. S.

Akiyama, Y.

Y. Akiyama, K. Midorikawa, Y. Matsunawa, Y. Nagata, M. Obara, H. Tashiro, and K. Toyoda, “Generation of high-order harmonics using laser-produced rare-gas-like ions,” Phys. Rev. Lett. 69, 2176–2179 (1992).
[Crossref] [PubMed]

Altucci, C.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[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]

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[Crossref]

Arnold, J. M.

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]

Augé, F.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Auguste, T.

T. Auguste, B. Carré, and P. Salières, “Quasi-phase-matching of high-order harmonics using a modulated atomic density,” Phys. Rev. A 76, 011802 (2007).
[Crossref]

Avaldi, L.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Baba, M.

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. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[Crossref] [PubMed]

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

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]

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]

Balcou, P.

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
[Crossref]

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. B 32, 2973 (1999).
[Crossref]

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

P. Balcou and A. L’Huillier, “Phase-matching effects in strong-field harmonic generation,” Phys. Rev. A 47, 1447–1459 (1993).
[Crossref] [PubMed]

Balcou, Ph.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Bartels, R. A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[Crossref] [PubMed]

Becker, W.

W. Becker, S. Long, and J. K. McIver, “Modeling harmonic generation by a zero-range potential,” Phys. Rev. A 50, 1540–1560 (1994).
[Crossref] [PubMed]

Bellini, M.

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78, 011801 (2008).
[Crossref]

Benedetti, E.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[Crossref]

Brown, C. T. A.

Bryce, A. C.

Burgy, F.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).
[Crossref]

Calegari, F.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Carré, B.

T. Auguste, B. Carré, and P. Salières, “Quasi-phase-matching of high-order harmonics using a modulated atomic density,” Phys. Rev. A 76, 011802 (2007).
[Crossref]

Catoire, F.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

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.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[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]

Cohen, O.

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

Constant, E.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
[Crossref]

Corkum, P. B.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[Crossref] [PubMed]

Corsi, C.

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78, 011801 (2008).
[Crossref]

De Silvestri, S.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Dederichs, A. S.

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. B 32, 2973 (1999).
[Crossref]

Descamps, D.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

Douillet, D.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[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]

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]

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-X-ray harmonic radiation from argon ions,” Phys. Rev. Lett. 99, 143901 (2007).
[Crossref] [PubMed]

B. Dromey, M. Zepf, M. Landreman, and S. M. Hooker, “Quasi-phasematching of harmonic generation via multimode beating in waveguides,” Opt. Express 15, 7894–7900 (2007).
[Crossref] [PubMed]

Dubrouil, A.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[Crossref]

Dunn, J.

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

Durfee, C. G.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

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]

Ebrahimzadeh, M.

Fejer, M. M.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).
[Crossref]

Ferray, M.

X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompré, and G. Mainfray, “Multiple-harmonic generation in rare gases at high laser intensity,” Phys. Rev. A 39, 5751–5761 (1989).
[Crossref]

Ferré, A.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

Filevich, J.

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

Flammini, R.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[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,” Phys. Rev. Lett. 99, 143901 (2007).
[Crossref] [PubMed]

Frank, F.

Gaarde, M. B.

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. B 32, 2973 (1999).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
[Crossref]

Ganeev, R.

M. Suzuki, M. Baba, R. Ganeev, H. Kuroda, and T. Ozaki, “Anomalous enhancement of a single high-order harmonic by using a laser-ablation tin plume at 47 nm,” Opt. Lett. 31, 3306–3308 (2006).
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R. Ganeev, M. Suzuki, M. Baba, and H. Kuroda, “Generation of strong coherent extreme ultraviolet radiation from the laser plasma produced on the surface of solid targets,” Appl. Phys. B 81, 1081–1089 (2005).
[Crossref]

Ganeev, R. A.

V. V. Strelkov and R. A. Ganeev, “Quasi-phase-matching of high-order harmonics in plasma plumes: theory and experiment,” Opt. Express 25, 21068–21083 (2017).
[Crossref] [PubMed]

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24, 3414–3423 (2016).
[Crossref] [PubMed]

R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
[Crossref]

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89, 033821 (2014).
[Crossref]

C. Hutchison, R. A. Ganeev, T. Witting, F. Frank, W. A. Okell, J. W. G. Tisch, and J. P. Marangos, “Stable generation of high-order harmonics of femtosecond laser radiation from laser produced plasma plumes at 1 kHz pulse repetition rate,” Opt. Lett. 37, 2064–2066 (2012).
[Crossref] [PubMed]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31, 1699–1701 (2006).
[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]

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]

Green, H.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[Crossref] [PubMed]

Grillon, G.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Güdde, J.

C. M. Heyl, J. Güdde, U. Höfer, and A. L’Huillier, “Spectrally resolved maker fringes in high-order harmonic generation,” Phys. Rev. Lett. 107, 033903 (2011).
[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.

S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
[Crossref]

Helmy, A. S.

Herne, C.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

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]

Heyl, C. M.

C. M. Heyl, J. Güdde, U. Höfer, and A. L’Huillier, “Spectrally resolved maker fringes in high-order harmonic generation,” Phys. Rev. Lett. 107, 033903 (2011).
[Crossref] [PubMed]

Höfer, U.

C. M. Heyl, J. Güdde, U. Höfer, and A. L’Huillier, “Spectrally resolved maker fringes in high-order harmonic generation,” Phys. Rev. Lett. 107, 033903 (2011).
[Crossref] [PubMed]

Hoffmann, A.

S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
[Crossref]

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]

Hooker, S. M.

M. Zepf, B. Dromey, M. Landreman, P. Foster, and S. M. Hooker, “Bright quasi-phase-matched soft-X-ray harmonic radiation from argon ions,” Phys. Rev. Lett. 99, 143901 (2007).
[Crossref] [PubMed]

B. Dromey, M. Zepf, M. Landreman, and S. M. Hooker, “Quasi-phasematching of harmonic generation via multimode beating in waveguides,” Opt. Express 15, 7894–7900 (2007).
[Crossref] [PubMed]

Hort, O.

F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
[Crossref]

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]

Hulin, D.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Hunter, J. R.

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

Husakou, A.

Hutchings, D. C.

Hutchison, C.

Ivanov, M. Y.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).
[Crossref]

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.

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

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[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]

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

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]

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Marconi, M. C.

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N. Rosenthal and G. Marcus, “Discriminating between the role of phase matching and that of the single-atom response in resonance plasma-plume high-order harmonic generation,” Phys. Rev. Lett. 115, 133901 (2015).
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Matsunawa, Y.

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Murnane, M. M.

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

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A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
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X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phase-matching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
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Pronin, O.

S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
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F. Catoire, A. Ferré, O. Hort, A. Dubrouil, L. Quintard, D. Descamps, S. Petit, F. Burgy, E. Mével, Y. Mairesse, and E. Constant, “Complex structure of spatially resolved high-order-harmonic spectra,” Phys. Rev. A 94, 063401 (2016).
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J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
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Rosenthal, N.

N. Rosenthal and G. Marcus, “Discriminating between the role of phase matching and that of the single-atom response in resonance plasma-plume high-order harmonic generation,” Phys. Rev. Lett. 115, 133901 (2015).
[Crossref] [PubMed]

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]

Rothhardt, J.

S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
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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).
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Rundquist, A. R.

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P. Salières, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74, 3776–3779 (1995).
[Crossref] [PubMed]

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52, 4747–4754 (1995).
[Crossref] [PubMed]

Salin, F.

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
[Crossref]

Sansone, G.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Schafer, K. J.

M. B. Gaarde, F. Salin, E. Constant, P. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59, 1367–1373 (1999).
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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).
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J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

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S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[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]

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).
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Shlyaptsev, V. N.

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[Crossref] [PubMed]

Simmons, J.

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

Smith, R. F.

J. Filevich, J. J. Rocca, M. C. Marconi, S. J. Moon, J. Nilsen, J. H. Scofield, J. Dunn, R. F. Smith, R. Keenan, J. R. Hunter, and V. N. Shlyaptsev, “Observation of a multiply ionized plasma with index of refraction greater than one,” Phys. Rev. Lett. 94, 035005 (2005).
[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]

Stagira, S.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Stanley, C. R.

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]

Strelkov, V. V.

Suzuki, M.

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24, 3414–3423 (2016).
[Crossref] [PubMed]

R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89, 033821 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31, 1699–1701 (2006).
[Crossref] [PubMed]

M. Suzuki, M. Baba, R. Ganeev, H. Kuroda, and T. Ozaki, “Anomalous enhancement of a single high-order harmonic by using a laser-ablation tin plume at 47 nm,” Opt. Lett. 31, 3306–3308 (2006).
[Crossref] [PubMed]

R. Ganeev, M. Suzuki, M. Baba, and H. Kuroda, “Generation of strong coherent extreme ultraviolet radiation from the laser plasma produced on the surface of solid targets,” Appl. Phys. B 81, 1081–1089 (2005).
[Crossref]

Tashiro, H.

Y. Akiyama, K. Midorikawa, Y. Matsunawa, Y. Nagata, M. Obara, H. Tashiro, and K. Toyoda, “Generation of high-order harmonics using laser-produced rare-gas-like ions,” Phys. Rev. Lett. 69, 2176–2179 (1992).
[Crossref] [PubMed]

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]

Terry, N.

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

Tisch, J. W. G.

Titensor, J.

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

Tobey, R.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
[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]

Tosa, V.

R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
[Crossref]

Toyoda, K.

Y. Akiyama, K. Midorikawa, Y. Matsunawa, Y. Nagata, M. Obara, H. Tashiro, and K. Toyoda, “Generation of high-order harmonics using laser-produced rare-gas-like ions,” Phys. Rev. Lett. 69, 2176–2179 (1992).
[Crossref] [PubMed]

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S. Hädrich, A. Klenke, J. Rothhardt, M. Krebs, A. Hoffmann, O. Pronin, V. Pervak, J. Limpert, and A. Tünnermann, “High photon flux table-top coherent extreme-ultraviolet source,” Nat. Photon. 8, 779–783 (2014).
[Crossref]

Valentin, C.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Velotta, R.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Villoresi, P.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

Voronov, S.

Voronov, S. L.

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

Vozzi, C.

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
[Crossref] [PubMed]

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, Q.

S. L. Voronov, I. Kohl, J. B. Madsen, J. Simmons, N. Terry, J. Titensor, Q. Wang, and J. Peatross, “Control of laser high-harmonic generation with counterpropagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref] [PubMed]

Weihe, F.

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
[Crossref]

Weiman, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature. 421, 51–54 (2003).
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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).
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Witte, H.

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
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Witting, T.

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]

Wöstmann, M.

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[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]

Yoneya, S.

R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
[Crossref]

Zacharias, H.

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[Crossref]

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).
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M. Zepf, B. Dromey, M. Landreman, P. Foster, and 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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B. Dromey, M. Zepf, M. Landreman, and S. M. Hooker, “Quasi-phasematching of harmonic generation via multimode beating in waveguides,” Opt. Express 15, 7894–7900 (2007).
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X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phase-matching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
[Crossref]

Zheng, J.

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[Crossref]

Zhou, X.

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

Appl. Phys. B (2)

M. Wöstmann, P. V. Redkin, J. Zheng, H. Witte, R. A. Ganeev, and H. Zacharias, “High-order harmonic generation in plasmas from nanoparticle and mixed metal targets at 1-kHz repetition rate,” Appl. Phys. B 120, 17–24 (2015).
[Crossref]

R. Ganeev, M. Suzuki, M. Baba, and H. Kuroda, “Generation of strong coherent extreme ultraviolet radiation from the laser plasma produced on the surface of solid targets,” Appl. Phys. B 81, 1081–1089 (2005).
[Crossref]

Eur. Phys. J. D (1)

S. Kazamias, F. Weihe, D. Douillet, C. Valentin, T. Planchon, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, “High order harmonic generation optimization with an apertured laser beam,” Eur. Phys. J. D 21, 353–359 (2002).
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Nat. Phys. (2)

X. Zhang, A. L. Lytle, T. Popmintchev, X. Zhou, H. C. Kapteyn, M. M. Murnane, and O. Cohen, “Quasi-phase-matching and quantum-path control of high-harmonic generation using counterpropagating light,” Nat. Phys. 3, 270–275 (2007).
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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).
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R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89, 033821 (2014).
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R. A. Ganeev, V. Toşa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on quasi-phase-matched high-order-harmonic generation in laser-produced plasma,” Phys. Rev. A 91, 043823 (2015).
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G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314, 443–446 (2006).
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Figures (5)

Fig. 1
Fig. 1 Experimental setup for HHG from extended plasmas. The driving pulse is focused by lens (L1) into the plasma. An aperture (A) is used for signal optimization. The heating pulse is focused by a cylindrical lens (L2) onto the target (T). A second lens (L3) is used to confine the beam and a knife edge (KE) allows for variation of the plasma width. The harmonic light passes a slit (S) before it is dispersed by a grating (G). The spectra are recorded with a charge-coupled device (CCD).
Fig. 2
Fig. 2 Determination of the optimal target dimensions. In (a) the beam radius (1/e2) and the geometrical contributions to the phase-mismatch Δk are illustrated as a function of the axial position z within the focal region of the driving beam. A Gaussian profile is fit to the beam radius. The determined parameters are used for the calculation of the phase mismatch Δk for the 25th harmonic. The contributions due to the Gouy phase advance (blue), dipole phase for the short trajectories (black solid, αs = 1 × 10−14 cm2W−1), their sum (pink), and dipole phase for the long trajectories (black dashed, αl = 27 × 10−14 cm2W−1) are displayed in inverse coherence lengths (Δk/π). In (b) the intensities of the 17th to 21st harmonics generated from a continuous Al target are shown for increasing widths of the plasma producing beam. The curves are vertically shifted for clearer visibility. The dependence of the coherence length on the harmonic order q is shown in (c). A fit proportional to q−1 is added to the graph.
Fig. 3
Fig. 3 Intensity of the 23rd (a) and 25th (b) harmonic, respectively, for increasing plasma producing beam widths generated from a structured Al plasma. A theoretical expectation is superimposed. For comparison the same dependence is shown when generated from an unstructured plasma multiplied by a factor of 10. The intensity axis is normalized to the intensity generated in the first coherent zone. For the structured plasma a target consisting of 0.4 mm disc widths and 0.7 mm spacer widths is used. The position of the disks is indicated by the red areas. Regarding the red areas, the evolution of the harmonic intensity on the effective plasma width is derived (c). When plotting on a double logarithmic scale, the slope reveals a quadratic dependence of the harmonic intensity on the plasma width. Raw spectra ranging from the 13th to 27th harmonic recorded at a plasma producing beam width of 6.2 mm are shown in (d) and (e). The target configuration is 0.4 mm disk width and 0.7 mm spacer width in (d), and 0.5 mm disk width and 0.9 mm spacer width in (e).
Fig. 4
Fig. 4 Examples for non-optimal QPM. The progression of the intensity of the 19th harmonic is shown for a target configuration of 0.4 mm disk width and 0.7 mm spacing which is similar to Fig. 3(d). For the 23rd harmonic order the spacing between the disks is reduced to 0.5 mm.
Fig. 5
Fig. 5 Enhanced harmonic generation from the long trajectories at large widths of the plasma producing beam. Raw spectra recorded at a plasma producing beam width of 7.1 mm (a) and 3.5 mm (b) are displayed, respectively. The harmonic radiation is generated in a continuous Al plasma. The central part of the beam appears at the bottom of the images in order to capture at least half of the harmonic beam on the grating. Two calculated envelopes (red lines) according to [41] [Eq.(31)] regarding harmonic generation from the long trajectories at the present beam parameters are displayed in (a). The divergences amount to 1.5 mrad in (b) and ca. 12 mrad in (a), respectively.

Equations (1)

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Δ k = k s k q .

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