Abstract

We investigate laser high-order harmonic generation in the presence of interfering light. A relatively weak interfering pulse intersects the primary harmonic-generating laser pulse at the focus. The influence on the harmonic-generation process is studied at near-counterpropagating and at perpendicular angles. The interfering beam creates a standing intensity and phase modulation, which disrupts microscopic phase matching and shuts down local high-harmonic production. Simple quasi-phase matching is demonstrated in which the interfering light disrupts harmonic generation in a portion of the laser focus. Under poor phase-matching conditions, perpendicularly propagating light is shown to enhance the 23rd harmonic generated in argon.

© 2003 Optical Society of America

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  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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
    [Crossref]
  2. P. L. Shkolnikov, A. E. Kaplan, and A. Lago, “Phase-matching optimization of large-scale nonlinear frequency upconversion in neutral and ionized gases,” J. Opt. Soc. Am. B 13, 412–423 (1996).
    [Crossref]
  3. J. Peatross, S. Voronov, and I. Prokopovich, “Selective zoning of high harmonic emission using counter-propagating light,” Opt. Express 1, 114–125 (1997), http://www.opticsexpress.org .
    [Crossref] [PubMed]
  4. E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
    [Crossref]
  5. C. G. Durfee, A. 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 (1998).
    [Crossref]
  6. H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
    [Crossref]
  7. Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
    [Crossref]
  8. C. Altucci, T. Starczewski, E. Mével, C. G. Washlström, B. Carré, and A. L’Huillier, “Influence of atomic density in high-order harmonic generation,” J. Opt. Soc. Am. B 13, 148–156 (1996).
    [Crossref]
  9. C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
    [Crossref] [PubMed]

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

1999 (2)

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

1998 (2)

C. G. Durfee, A. 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 (1998).
[Crossref]

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

1997 (1)

1996 (2)

1995 (1)

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[Crossref] [PubMed]

Agostini, P.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Altucci, C.

Backus, S.

C. G. Durfee, A. 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 (1998).
[Crossref]

Borgstrom, S.

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[Crossref] [PubMed]

Breger, P.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Carré, B.

Chiron, A.

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Constant, E.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Dorrer, Ch.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Durfee, C. G.

C. G. Durfee, A. 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 (1998).
[Crossref]

Garzella, D.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Herne, C.

C. G. Durfee, A. 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 (1998).
[Crossref]

Itatani, J.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

Kaplan, A. E.

Kapteyn, H. C.

C. G. Durfee, A. 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 (1998).
[Crossref]

Kohl, I.

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

L’Huillier, A.

Lago, A.

Lange, H. R.

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Larsson, J.

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[Crossref] [PubMed]

Le Blanc, C.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Madsen, J. B.

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

Mevel, E.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Mével, E.

Midorikawa, K.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

Murnane, M. M.

C. G. Durfee, A. 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 (1998).
[Crossref]

Mysyrowicz, A.

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Nagata, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

Obara, M.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

Peatross, 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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

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

Pettersson, S.-G.

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[Crossref] [PubMed]

Prokopovich, I.

Ripoche, J.-F.

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Rundquist, A.

C. G. Durfee, A. 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 (1998).
[Crossref]

Salin, F.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Shkolnikov, P. L.

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

Starczewski, T.

Tamaki, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

Wahlstrom, C.-G.

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

Washlström, C. G.

J. Opt. Soc. Am. B (2)

Opt. Express (1)

Phys. Rev. A (1)

C.-G. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-order harmonic generation in laser-produced ions using a near-infrared laser,” Phys. Rev. A 51, 585–591 (1995).
[Crossref] [PubMed]

Phys. Rev. Lett. (5)

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 counter-propagating light,” Phys. Rev. Lett. 87, 133902 (2001).
[Crossref]

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

C. G. Durfee, A. 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 (1998).
[Crossref]

H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998).
[Crossref]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999).
[Crossref]

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Figures (9)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

(a) Intensity and (b) phase variations in the yz plane for perpendicularly propagating light and E2/E1=0.1. MCP, microchannel plate.

Fig. 3
Fig. 3

Suppression of the 23rd harmonic generated in a narrow gas distribution when interfering light intersects 2° from counterpropagating.

Fig. 4
Fig. 4

Enhancement of the 23rd harmonic generated in a wide gas distribution when interfering light intersects 2° from counterpropagating.

Fig. 5
Fig. 5

Astigmatic focus of the interfering light.

Fig. 6
Fig. 6

Rayleigh scattering produced by free electrons in the focus of intersecting pulses.

Fig. 7
Fig. 7

Alignment of beams (a) in the atmosphere and (b) in vacuum.

Fig. 8
Fig. 8

Suppressed harmonic emission with the interfering perpendicularly directed light.

Fig. 9
Fig. 9

Enhanced harmonic emission with the interfering perpendicularly directed light.

Equations (8)

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

E1exp[i(kz-ωt)]+E2
×exp[i(kz cos θ+ky sin θ-ωt)]
=Etot(y, z)exp[iϕ(y, z)]exp[i(kz-ωt)],
Etot(y, z)=(E12+E22+2E1E2cos α)1/2,
ϕ(y, z)=tan-1(E2/E1)sin α1+(E2/E1)cos α,
αkz cos θ+ky sin θ-kz.
Etot(y, z)=[E12+E22+2E1E2cos(ky-kz)]1/2,
ϕ(y, z)=tan-1(E2/E1)sin(ky-kz)1+(E2/E1)cos(ky-kz).

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