Abstract

It is proposed that single attosecond pulses be generated via high-order harmonic generation by using a two-color pump pulse with time dependent ellipticity. The two-color pump pulse is created by the fundamental field and its second harmonic: the fundamental field is left-circularly polarized and the second harmonic is right-circularly polarized. Numerical simulations show that single attosecond pulses can be produced in the cut-off region by using the synthesis of 20 fs left-hand and right-hand circularly polarized pulses with a pulse delay of 20 fs. The attosecond pulses produced this way are much stronger than that produced by a few-cycle linear polarized pulse of comparable intensity.

© 2005 Optical Society of America

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References

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    [CrossRef] [PubMed]
  2. P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994-1997 (1993)
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  20. M. Lewenstein, P. Balcou, M. Y. Ivanow, 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]
  21. T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545-591 (2000)
    [CrossRef]
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  23. Chul Min Kim, I Jong Kim, and Chang Hee Nam, “Generation of a strong attosecond pulse train with an orthogonally polarized two-color laser field,” Phys. Rev. A 72, 033817(7) (2005)
    [CrossRef]
  24. I Jong Kim, Chul Min Kim, Hyung Taek Kim, Gae Hwang Lee, Yong Soo Lee, Ju Yun Park, David Jaeyun Cho, and Chang Hee Nam, “Highly Efficient High-Harmonic Generation in an Orthogonally Polarized Two-Color Laser Field,” Phys. Rev. Lett. 94, 243901(4) (2005)
    [CrossRef]

Eur. Phys. J. D (1)

M. Kovačev, Y. Mairesse, E. Priori, H. Merdji, O. Tcherbakoff, P. Monchicourt, P. Breger, E. Mével, E. Constant, P. Salières, B. Carré, and P. Agostini, “Temporal con-finement of the harmonic emission through polarization gating,” Eur. Phys. J. D 26, 79-82 (2003)
[CrossRef]

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

V Strelkov, A Zaїr, O Tcherbakoff, R. Lόpez-Martens, E Cormier, E Mével and E Constant, “Single attosecond pulse production with an ellipticity-modulated driving IR pulse, ” J. Phys. B 38, L161-L167 (2005)
[CrossRef]

Nature (London) (1)

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

Opt. Lett. (1)

Phys. Rev. A (11)

K. S. Budil, P. Salières, M. D. Perry, Anne L’Huillier, “Influence of ellipticity on harmonic generation,” Phys. Rev. A 48, R3437-R3440 (1993)
[CrossRef] [PubMed]

P. Dietrich, N. H. Burnett, M. Ivanov, and P. B. Corkum, “High-harmonic generation and correlated two-electron multiphoton ionization with elliptically polarized light,” Phys. Rev. A 50, R3585-R3588 (1994)
[CrossRef] [PubMed]

C. Altucci, Ch. Delfin, L. Roos, M. B. Gaarde, A. L’Huillier, I. Mercer, T. Starcze-wski, C.-G. Wahlström, “Frequency-resolved time-gated high-order harmonics,” Phys. Rev. A 58, 3941-3934 (1998)
[CrossRef]

O. Tcherbakoff, E. Mével, D. Descamps, J. Plumridge, and E. Constant, “Time-gated high-order harmonic generation,” Phys. Rev. A 68, 043804(4) (2003)
[CrossRef]

R. Lόpez-Martens, J. Mauritsson, P. Johnsson, and A. L’Huillier, “Time-resolved ellipticity gating of high-order harmonic emission,” Phys. Rev. A 69, 053811(4) (2004)
[CrossRef]

Ph. Antoine, B. Piraux, D. B. Milosevic, and M. Gajda, “Generation of ultrashort pulses of harmonics,” Phys. Rev. A 54, R1761-R1764 (1996)
[CrossRef] [PubMed]

Chul Min Kim, I Jong Kim, and Chang Hee Nam, “Generation of a strong attosecond pulse train with an orthogonally polarized two-color laser field,” Phys. Rev. A 72, 033817(7) (2005)
[CrossRef]

Zenghu Chang, “Single attosecond pulse and xuv supercontinuum in the high-order harmonic plateau,” Phys. Rev. A 70, 043802(8) (2004)
[CrossRef]

B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, “Coherent control using adaptive learning algorithms,” Phys. Rev. A 63, 063412(12) (2001)
[CrossRef]

A. Ben Haj Yedder, C. Le Bris, O. Atabek, S. Chelkowski and A. D. Bandrauk, “Optimal control of attosecond pulse synthesis from high-order harmonic generation,” Phys. Rev. A 69, 041802(R)(4) (2004)
[CrossRef]

M. Lewenstein, P. Balcou, M. Y. Ivanow, 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]

Phys. Rev. Lett. (4)

I Jong Kim, Chul Min Kim, Hyung Taek Kim, Gae Hwang Lee, Yong Soo Lee, Ju Yun Park, David Jaeyun Cho, and Chang Hee Nam, “Highly Efficient High-Harmonic Generation in an Orthogonally Polarized Two-Color Laser Field,” Phys. Rev. Lett. 94, 243901(4) (2005)
[CrossRef]

M. Ivanov, P. B. Corkum, T. Zuo, and A. Bandrauk, “Routes to Control of Intense-Field Atomic Polarizability,” Phys. Rev. Lett. 74. 2933-2936 (1995)
[CrossRef] [PubMed]

Jeffrey L. Krause, Kenneth J. Schafer, and Kenneth C. Kulander, “High-order harmonic generation from atoms and ions in the high intensity regime,” Phys. Rev. Lett. 68, 3535-3538 (1992)
[CrossRef] [PubMed]

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

Proc. SPIE (1)

N. A. Papadogiannis, G. Nersisyan, E. Goulielmakis, M. Decros, M. Tatarakis, E. Hertz, L. A. A. Nikolopoulos, D. Charalambidis, “Attosecond science: present status and prospects,” in XIV International Symposium on Gas Flow, Chemical Lasers, and High-Power Lasers, Krzysztof M. Abramski, Edward F. Plinski, Wieslaw Wolinski, eds., Proc. GCL/HPL, SPIE 5120, 269-274 (2003)
[CrossRef]

Rev. Mod. Phys. (1)

T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72, 545-591 (2000)
[CrossRef]

Sov. Phys. JETP (1)

M. V. Ammosov, N. B. Delone, and V. P. Kraĭnov, Zh. Eksp. Teor. Fiz., “Tunnel ionization of complex atoms and of atomic ions in alternating electromagnetic field,” Sov. Phys. JETP 64, 1191-1194 (1986)

Other (1)

K. C. Kulander, K. J. Schafer, and J. K. Krause, in Super-Intense Laser-Atom Physics, B Piraux, A L'Huillier and K Rzazewski, eds (Plenum, New York, 1993) p. 95-110
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

The ellipticity (in the x direction) of the synthesis pulses. Solid line: two-color synthesis field and dashed line: one-color synthesis field.

Fig. 2.
Fig. 2.

High-order harmonic spectra with (a) two-color field and (b) few-cycle field. In (a), blue solid line and red dashed line depict the harmonic emission in the x and y directions respectively, while their relative intensities are labeled arbitrarily.

Fig. 3.
Fig. 3.

Temporal profiles of attosecond pulse with (a) two-color field and (b) few-cycle field. Physical conditions are the same as in Fig. 2. The high-order harmonic pulses centered at two different frequencies: 51 ħω and 111 ħω (both in the cut-off). The inset of fig.3 (a) shows the harmonic emission in the x (blue solid line) and y (red dashed line) directions with two-color pump pulse.

Fig. 4.
Fig. 4.

Attosecond pulses in the x direction produced by two-color synthesis pump pulse with different CEP. (a) φ =0; (b) φ =π/4; (c) φ =π//2: (d) φ =3π//4; (e) φ =π.

Equations (5)

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E l ( t ) = Re { E 0 e 2 ln ( 2 ) ( ( t T d / 2 ) / τ p ) 2 [ x ̂ e i ( ω t + ϕ ) + y ̂ e i ( ω t + ϕ π / 2 ) ] × ( 1 ) n } ,
E r ( t ) = Re { E 0 e 2 ln ( 2 ) ( ( t + T d / 2 ) / τ p ) 2 [ x ̂ e i ( 2 ω t + ϕ ) y ̂ e i ( 2 ω t + ϕ π / 2 ) ] × ( 1 ) n } ,
E ( t ) = Re { x ̂ [ e 2 ln ( 2 ) ( ( t T d / 2 ) / τ p ) 2 e i ( ω t + ϕ ) + e 2 ln ( 2 ) ( ( t + T d / 2 ) / τ p ) 2 e i ( 2 ω t + ϕ ) ] + y ̂ [ e 2 ln ( 2 ) ( ( t T d / 2 ) τ p ) 2 e i ( ω t + ϕ π / 2 ) e 2 ln ( 2 ) ( ( t + T d / 2 ) / τ p ) 2 e i ( 2 ω t + ϕ π / 2 ) ] } × ( 1 ) n .
ξ x ( t ) = E y E x
E ( t ) = x ̂ E 0 exp [ 2 ln ( 2 ) ( t / τ p ) 2 ] cos ( ω t )

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