Abstract

We study the ellipticity dependence of the near-threshold (NT) harmonics of pre-aligned H2 molecules using the time-dependent density functional theory. The anomalous maximum appearing at a non-zero ellipticity for the generated NT harmonics can be attributed to multiphoton effects of the orthogonally polarized component of the elliptical driving laser field. Our calculation also shows that the structure of the bound-state, such as molecular alignment and bond length, can be sensitively reflected on the ellipticity dependence of the near-threshold harmonics.

© 2013 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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
    [CrossRef] [PubMed]
  2. P. B. Corkum, “Plasma Perspective on Strong Field Multiphoton Ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
    [CrossRef] [PubMed]
  3. M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
    [CrossRef] [PubMed]
  4. A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
    [CrossRef]
  5. T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
    [CrossRef] [PubMed]
  6. Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
    [CrossRef]
  7. P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
    [CrossRef] [PubMed]
  8. A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
    [CrossRef]
  9. N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
    [CrossRef] [PubMed]
  10. M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
    [CrossRef] [PubMed]
  11. M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
    [CrossRef]
  12. H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
    [CrossRef] [PubMed]
  13. A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
    [CrossRef]
  14. V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
    [CrossRef] [PubMed]
  15. V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
    [CrossRef]
  16. Y. Li, X. S. Zhu, Q. B. Zhang, M. Qin, and P. X. Lu, “Quantum-orbit analysis for yield and ellipticity of high order harmonic generation with elliptically polarized laser field,” Opt. Express21(4), 4896–4907 (2013).
    [CrossRef] [PubMed]
  17. P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
    [CrossRef]
  18. J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
    [CrossRef]
  19. D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
    [CrossRef]
  20. X. Chu and G. C. Groenenboom, “Role of resonance-enhanced multiphoton excitation in high-harmonic generation of N2: A time-dependent density-functional-theory study,” Phys. Rev. A87(1), 013434 (2013).
    [CrossRef]
  21. X. Chu and G. C. Groenenboom, “Time-dependent density-functional-theory calculation of high-order-harmonic generation of H2,” Phys. Rev. A85(5), 053402 (2012).
    [CrossRef]
  22. N. Troullier and J. L. Martins, “Efficient pseudopotentials for plane-wave calculations,” Phys. Rev. B Condens. Matter43(3), 1993–2006 (1991).
    [CrossRef] [PubMed]
  23. X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
    [CrossRef] [PubMed]
  24. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
    [CrossRef] [PubMed]
  25. G. L. Kamta and A. D. Bandrauk, “Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+,” Phys. Rev. A71(5), 053407 (2005).
    [CrossRef]
  26. W. Bleakney, “The Ionization Potential of Molecular Hydrogen,” Phys. Rev.40(4), 496–501 (1932).
    [CrossRef]
  27. D. Neuhasuer and M. Baer, “The time-dependent Schrödinger equation: Application of absorbing boundary conditions,” J. Chem. Phys.90(8), 4351 (1989).
    [CrossRef]
  28. F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
    [CrossRef]
  29. M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
    [CrossRef]
  30. A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).
  31. Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
    [CrossRef]
  32. K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
    [CrossRef] [PubMed]
  33. X. M. Tong and S. I. Chu, “Probing the spectral and temporal structures of high-order harmonic generation in intense laser pulses,” Phys. Rev. A61(2), 021802 (2000).
    [CrossRef]
  34. P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
    [CrossRef] [PubMed]
  35. S. De. Luca and E. Fiordilino, “Wavelet analysis of short harmonics generated in presence of a two colour laser field,” J. Mod. Opt.45(9), 1775–1783 (1998).

2013

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
[CrossRef]

X. Chu and G. C. Groenenboom, “Role of resonance-enhanced multiphoton excitation in high-harmonic generation of N2: A time-dependent density-functional-theory study,” Phys. Rev. A87(1), 013434 (2013).
[CrossRef]

Y. Li, X. S. Zhu, Q. B. Zhang, M. Qin, and P. X. Lu, “Quantum-orbit analysis for yield and ellipticity of high order harmonic generation with elliptically polarized laser field,” Opt. Express21(4), 4896–4907 (2013).
[CrossRef] [PubMed]

2012

X. Chu and G. C. Groenenboom, “Time-dependent density-functional-theory calculation of high-order-harmonic generation of H2,” Phys. Rev. A85(5), 053402 (2012).
[CrossRef]

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

2011

V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
[CrossRef] [PubMed]

J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
[CrossRef]

2010

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

2009

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

2008

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

2007

T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
[CrossRef] [PubMed]

F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
[CrossRef]

2005

M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
[CrossRef]

G. L. Kamta and A. D. Bandrauk, “Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+,” Phys. Rev. A71(5), 053407 (2005).
[CrossRef]

2003

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

2002

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

2000

P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[CrossRef]

X. M. Tong and S. I. Chu, “Probing the spectral and temporal structures of high-order harmonic generation in intense laser pulses,” Phys. Rev. A61(2), 021802 (2000).
[CrossRef]

1998

S. De. Luca and E. Fiordilino, “Wavelet analysis of short harmonics generated in presence of a two colour laser field,” J. Mod. Opt.45(9), 1775–1783 (1998).

1997

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

1996

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

1995

N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
[CrossRef] [PubMed]

P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
[CrossRef] [PubMed]

1994

Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
[CrossRef]

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

1993

P. B. Corkum, “Plasma Perspective on Strong Field Multiphoton Ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
[CrossRef] [PubMed]

K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

1992

K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

1991

N. Troullier and J. L. Martins, “Efficient pseudopotentials for plane-wave calculations,” Phys. Rev. B Condens. Matter43(3), 1993–2006 (1991).
[CrossRef] [PubMed]

1989

D. Neuhasuer and M. Baer, “The time-dependent Schrödinger equation: Application of absorbing boundary conditions,” J. Chem. Phys.90(8), 4351 (1989).
[CrossRef]

1932

W. Bleakney, “The Ionization Potential of Molecular Hydrogen,” Phys. Rev.40(4), 496–501 (1932).
[CrossRef]

Alberdi-Rodriguez, J.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Ammosov, M. V.

Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
[CrossRef]

Andrade, X.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Antoine, P.

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Arruabarrena, A.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Aspuru-Guzik, A.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Baer, M.

D. Neuhasuer and M. Baer, “The time-dependent Schrödinger equation: Application of absorbing boundary conditions,” J. Chem. Phys.90(8), 4351 (1989).
[CrossRef]

Baerends, E. J.

P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Balcou, P.

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Bandrauk, A. D.

G. L. Kamta and A. D. Bandrauk, “Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+,” Phys. Rev. A71(5), 053407 (2005).
[CrossRef]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
[CrossRef]

Bleakney, W.

W. Bleakney, “The Ionization Potential of Molecular Hydrogen,” Phys. Rev.40(4), 496–501 (1932).
[CrossRef]

Botheron, P.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Brabec, T.

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Bruner, B. D.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

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K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

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K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

Burnett, N.

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

Burnett, N. H.

N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
[CrossRef] [PubMed]

Carré, B.

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

Castro, A.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

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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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

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Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
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Chu, S. I.

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
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J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
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X. M. Tong and S. I. Chu, “Probing the spectral and temporal structures of high-order harmonic generation in intense laser pulses,” Phys. Rev. A61(2), 021802 (2000).
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Chu, X.

X. Chu and G. C. Groenenboom, “Role of resonance-enhanced multiphoton excitation in high-harmonic generation of N2: A time-dependent density-functional-theory study,” Phys. Rev. A87(1), 013434 (2013).
[CrossRef]

X. Chu and G. C. Groenenboom, “Time-dependent density-functional-theory calculation of high-order-harmonic generation of H2,” Phys. Rev. A85(5), 053402 (2012).
[CrossRef]

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A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Cooper, J.

K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

Corkum, P. B.

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
[CrossRef] [PubMed]

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
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P. B. Corkum, “Plasma Perspective on Strong Field Multiphoton Ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
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Diner, A.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Dudovich, N.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

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A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

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S. De. Luca and E. Fiordilino, “Wavelet analysis of short harmonics generated in presence of a two colour laser field,” J. Mod. Opt.45(9), 1775–1783 (1998).

Flettner, A.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Gerber, G.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

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V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
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V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
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V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
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P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[CrossRef]

Groenenboom, G. C.

X. Chu and G. C. Groenenboom, “Role of resonance-enhanced multiphoton excitation in high-harmonic generation of N2: A time-dependent density-functional-theory study,” Phys. Rev. A87(1), 013434 (2013).
[CrossRef]

X. Chu and G. C. Groenenboom, “Time-dependent density-functional-theory calculation of high-order-harmonic generation of H2,” Phys. Rev. A85(5), 053402 (2012).
[CrossRef]

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F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
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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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Heslar, J.

J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
[CrossRef]

Hofmann, C.

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Ivanov, M. Y.

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
[CrossRef]

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

Ivanov, M. Yu.

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Kakehata, M.

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

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G. L. Kamta and A. D. Bandrauk, “Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+,” Phys. Rev. A71(5), 053407 (2005).
[CrossRef]

Kan, C.

N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
[CrossRef] [PubMed]

Kanai, T.

T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Keller, U.

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Khokhlova, M. A.

V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

Knight, P. L.

K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

König, J.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

L’Huillier, A.

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

Landsman, A. S.

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Le, A. T.

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

Levesque, J.

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

Lewenstein, M.

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

Li, Y.

Liang, Y.

Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
[CrossRef]

Lin, C. D.

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

Louie, S. G.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Lu, P. X.

Luca, S. De.

S. De. Luca and E. Fiordilino, “Wavelet analysis of short harmonics generated in presence of a two colour laser field,” J. Mod. Opt.45(9), 1775–1783 (1998).

Lucchese, R. R.

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

Mairesse, Y.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
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P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
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X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
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N. Troullier and J. L. Martins, “Efficient pseudopotentials for plane-wave calculations,” Phys. Rev. B Condens. Matter43(3), 1993–2006 (1991).
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Mason, M. B.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

Minemoto, S.

T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
[CrossRef] [PubMed]

Miyazaki, K.

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

Morishita, T.

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Muguerza, J.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
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Nogueira, F.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
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Oliveira, M. J. T.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Perry, M. D.

K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

Pfeifer, T.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

Pfeiffer, A. N.

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Piraux, B.

P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Pons, B.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Qin, M.

Raz, O.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Reed, V. C.

K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

Rozenbaum, E.

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
[CrossRef]

Rubio, A.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Ruiz, C.

F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
[CrossRef]

Ryabikin, M. Y.

V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
[CrossRef] [PubMed]

Sakai, H.

T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
[CrossRef] [PubMed]

Salières, P.

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

Schipper, P. R. T.

P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[CrossRef]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Shafir, D.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

Smirnova, O.

M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
[CrossRef]

Smolarski, M.

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Soifer, H.

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

Sosnova, K. E.

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
[CrossRef]

Spanner, M.

M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
[CrossRef]

Strelkov, V. V.

V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
[CrossRef] [PubMed]

Strubbe, D. A.

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

Takada, H.

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

Telnov, D.

J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
[CrossRef]

Telnov, D. A.

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
[CrossRef]

Tong, X. M.

X. M. Tong and S. I. Chu, “Probing the spectral and temporal structures of high-order harmonic generation in intense laser pulses,” Phys. Rev. A61(2), 021802 (2000).
[CrossRef]

Tonzani, S.

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

Troullier, N.

N. Troullier and J. L. Martins, “Efficient pseudopotentials for plane-wave calculations,” Phys. Rev. B Condens. Matter43(3), 1993–2006 (1991).
[CrossRef] [PubMed]

van Gisbergen, S. J. A.

P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[CrossRef]

Villeneuve, D. M.

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

Weichmann, U.

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

Yumoto, H.

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

Zhang, Q. B.

Zhu, X. S.

Eur. Phys. J. D

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, R. Düren, and G. Gerber, “Ellipticity dependence of atomic and molecular high harmonic generation,” Eur. Phys. J. D21(1), 115–119 (2002).
[CrossRef]

J. Chem. Phys.

P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, “Molecular calculations of excitation energies and (hyper)polarizabilities with a statistical average of orbital model exchange-correlation potentials,” J. Chem. Phys.112(3), 1344–1352 (2000).
[CrossRef]

D. Neuhasuer and M. Baer, “The time-dependent Schrödinger equation: Application of absorbing boundary conditions,” J. Chem. Phys.90(8), 4351 (1989).
[CrossRef]

J. Mod. Opt.

M. Y. Ivanov, M. Spanner, and O. Smirnova, “Anatomy of strong field ionization,” J. Mod. Opt.52(2-3), 165–184 (2005).
[CrossRef]

A. Flettner, J. König, M. B. Mason, T. Pfeifer, U. Weichmann, and G. Gerber, “Atomic and molecular high-harmonic generation: A comparison of ellipticity dependence based on the three-step model,” J. Mod. Opt.50, 529–537 (2003).

S. De. Luca and E. Fiordilino, “Wavelet analysis of short harmonics generated in presence of a two colour laser field,” J. Mod. Opt.45(9), 1775–1783 (1998).

J. Phys. At. Mol. Opt. Phys.

Y. Liang, M. V. Ammosov, and S. L. Chin, “High-order harmonic generation in argon by elliptically polarized picosecond dye laser pulses,” J. Phys. At. Mol. Opt. Phys.27(6), 1269–1276 (1994).
[CrossRef]

J. Phys. Condens. Matter

X. Andrade, J. Alberdi-Rodriguez, D. A. Strubbe, M. J. T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S. G. Louie, A. Aspuru-Guzik, A. Rubio, and M. A. L. Marques, “Time-dependent density-functional theory in massively parallel computer architectures: the OCTOPUS project,” J. Phys. Condens. Matter24(23), 233202 (2012).
[CrossRef] [PubMed]

New J. Phys.

Y. Mairesse, N. Dudovich, J. Levesque, M. Y. Ivanov, P. B. Corkum, and D. M. Villeneuve, “Electron wavepacket control with elliptically polarized laser light in high harmonic generation from aligned molecules,” New J. Phys.10(2), 025015 (2008).
[CrossRef]

A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, “Rydberg state creation by tunnel ionization,” New J. Phys.15(1), 013001 (2013).
[CrossRef]

Opt. Express

Phys. Rev.

W. Bleakney, “The Ionization Potential of Molecular Hydrogen,” Phys. Rev.40(4), 496–501 (1932).
[CrossRef]

Phys. Rev. A

F. He, C. Ruiz, and A. Becker, “Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling,” Phys. Rev. A75(5), 053407 (2007).
[CrossRef]

K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, “Calculation of the background emitted during high-harmonic generation,” Phys. Rev. A45(5), 3347–3349 (1992).
[CrossRef] [PubMed]

G. L. Kamta and A. D. Bandrauk, “Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences in H2+,” Phys. Rev. A71(5), 053407 (2005).
[CrossRef]

M. Lewenstein, P. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “High-order harmonic generation by atoms in an elliptically polarized laser field: Harmonic polarization properties and laser threshold ellipticity,” Phys. Rev. A86(1), 013404 (2012).
[CrossRef]

K. S. Budil, P. Salières, A. L’Huillier, and M. D. Perry, “Influence of ellipticity on harmonic generation,” Phys. Rev. A48(5), R3437–R3440 (1993).
[CrossRef] [PubMed]

X. M. Tong and S. I. Chu, “Probing the spectral and temporal structures of high-order harmonic generation in intense laser pulses,” Phys. Rev. A61(2), 021802 (2000).
[CrossRef]

P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A51(3), R1750–R1753 (1995).
[CrossRef] [PubMed]

N. H. Burnett, C. Kan, and P. B. Corkum, “Ellipticity and polarization effects in harmonic generation in ionizing neon,” Phys. Rev. A51(5), R3418–R3421 (1995).
[CrossRef] [PubMed]

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

M. Kakehata, H. Takada, H. Yumoto, and K. Miyazaki, “Anomalous ellipticity dependence of high-order harmonic generation,” Phys. Rev. A55(2), R861–R864 (1997).
[CrossRef]

P. Antoine, A. L’Huillier, M. Lewenstein, P. Salières, and B. Carré, “Theory of high-order harmonic generation by an elliptically polarized laser field,” Phys. Rev. A53(3), 1725–1745 (1996).
[CrossRef] [PubMed]

A. T. Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin, “Quantitative rescattering theory for high-order harmonic generation from molecules,” Phys. Rev. A80(1), 013401 (2009).
[CrossRef]

J. Heslar, D. Telnov, and S. I. Chu, “High-order-harmonic generation in homonuclear and heteronuclear diatomic molecules: Exploration of multiple orbital contributions,” Phys. Rev. A83(4), 043414 (2011).
[CrossRef]

D. A. Telnov, K. E. Sosnova, E. Rozenbaum, and S. I. Chu, “Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms,” Phys. Rev. A87(5), 053406 (2013).
[CrossRef]

X. Chu and G. C. Groenenboom, “Role of resonance-enhanced multiphoton excitation in high-harmonic generation of N2: A time-dependent density-functional-theory study,” Phys. Rev. A87(1), 013434 (2013).
[CrossRef]

X. Chu and G. C. Groenenboom, “Time-dependent density-functional-theory calculation of high-order-harmonic generation of H2,” Phys. Rev. A85(5), 053402 (2012).
[CrossRef]

Phys. Rev. B Condens. Matter

N. Troullier and J. L. Martins, “Efficient pseudopotentials for plane-wave calculations,” Phys. Rev. B Condens. Matter43(3), 1993–2006 (1991).
[CrossRef] [PubMed]

Phys. Rev. Lett.

V. V. Strelkov, A. A. Gonoskov, I. A. Gonoskov, and M. Y. Ryabikin, “Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization,” Phys. Rev. Lett.107(4), 043902 (2011).
[CrossRef] [PubMed]

H. Soifer, P. Botheron, D. Shafir, A. Diner, O. Raz, B. D. Bruner, Y. Mairesse, B. Pons, and N. Dudovich, “Near-Threshold High-Order Harmonic Spectroscopy with Aligned Molecules,” Phys. Rev. Lett.105(14), 143904 (2010).
[CrossRef] [PubMed]

T. Kanai, S. Minemoto, and H. Sakai, “Ellipticity Dependence of High-Order Harmonic Generation from Aligned Molecules,” Phys. Rev. Lett.98(5), 053002 (2007).
[CrossRef] [PubMed]

P. B. Corkum, “Plasma Perspective on Strong Field Multiphoton Ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
[CrossRef] [PubMed]

Science

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, and H. C. Kapteyn, “Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers,” Science336(6086), 1287–1291 (2012).
[CrossRef] [PubMed]

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Figures (8)

Fig. 1
Fig. 1

Amplitude of the z- and x- polarization component of the elliptical laser field at ε = 0.2.

Fig. 2
Fig. 2

Harmonic spectrum at zero ellipticity for H2 at the bond length of 2.2 a.u. under both alignments.

Fig. 3
Fig. 3

Normalized harmonic intensity as a function of ellipticity for perpendicularly (left) and parallelly (right) aligned H2 at the bond length of 2.2 a.u.. Each harmonic is normalized to its intensity at zero ellipticity.

Fig. 4
Fig. 4

z-component of the harmonics (Hz) as a function of ellipticity for perpendicularly (left) and parallelly (right) aligned H2 at the bond length of 2.2 a.u.. Each harmonic is normalized to its intensity at zero ellipticity.

Fig. 5
Fig. 5

Spectra of the x-component of the harmonics as a function of ellipticity under perpendicular (left) and parallel (right) alignments at the bond length of 2.2 a.u.. The maximum of each harmonic is marked by the square.

Fig. 6
Fig. 6

Intensities of different polarization components of H5 (a) and H7 (b) under perpendicular alignment and H11 (c) under parallel alignment at the bond length of 2.2 a.u..

Fig. 7
Fig. 7

Time profile of the dipole accelerations for different harmonics of the perpendicular aligned H2 at the bond length of 2.2 a.u..

Fig. 8
Fig. 8

Calculated harmonics under perpendicular (left) and parallel (right) alignments at the bond length of 3.0 a.u. (top) and 1.4 a.u. (bottom). Each harmonic is normalized to its intensity at zero ellipticity.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

i t ψ i (r,t)=[ 1 2 2 + v eff (r,t)] ψ i (r,t), i=1,2,...,N.
v eff (r,t)= ρ(r',t) | rr' | dr'+ v xc (r,t)+ v ps +E(t)r,
H p (ω) | a p (ω) | 2 = | d ¨ p (t) e iωt dt | 2 ,
E(t)= E 0 f(t) ( 1 1+ ε 2 ) 1/2 [ e z sin(ωt)+ e x εsin(ωtπ/2)],
V(r)={ 0 for 0<r<R, i V 0 sin 1/8 [ π(rR) 2Δr ] for R<r<R+Δr.
a ω (t)= a(t')exp[ ω 2 (tt') 2 2 τ 2 ] exp[iω(tt')]dt'

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