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

1. Introduction

Attosecond pulses are important tools for studying and controlling the motion of electrons inside atoms. Until now, high-order harmonic generation (HHG) is the only method that has produced single attosecond pulses in experiment. The high-order harmonic spectrum has a very characteristic and universal shape: it falls off for the first few harmonics, then exhibits a plateau where all the harmonics have the same strength, and ends up with a sharp cut-off [1]. One can understand the high-order nonlinear response of an atom by considering the following three steps [2,3]: ionization, acceleration and recombination.

The successful generation of isolated attosecond pulses is an important step towards attosecond physics since single attosecond pulses are more promising for applications in time-resolved spectroscopy. Obtaining single attosecond pulses remains an important problem. There are currently two ways that could be used to solve this problem. The first is to use a short enough (∼7 fs) linearly polarized fundamental pulse such that the emission of the cut-off harmonics (i.e., the highest harmonics which can only be emitted at the peak intensity) is naturally confined to a fraction of the laser oscillation period at the peak of the pulse. The HHG pumped by an ultrashort (7fs) laser pulse has led to an isolated 650 attosecond pulse [4]. The second way is to generate harmonics with a pulse whose polarization changes with time [5–10]. HHG efficiency is the highest for linearly polarized pump pulse and rapidly decreases with increasing pump pulse ellipticity [11,12]. Temporal modulation of pump pulse ellipticity confines the xuv emission to a temporal gate where the polarization is very close to linear, as shown in recent experiments [13–15]. Different methods have been proposed to generate ellipticity time-gate [10,13,16]. Recently, such gate was obtained by superposing two few-cycle counter-circularly polarized pulses [17]. In the scheme, single attosecond pulses and xuv supercontinuum are produced in the high-order harmonic plateau. Besides the methods mentioned above, the optimization scheme of the exciting laser phase through a genetic algorithm [18] was applied to synthesis single attosecond pulses. In Ref. [19], single attosecond pulse is obtained using appropriately chirped exciting laser pulse of longer duration (8-16fs).

In this work, a technique of using a two-color pump pulse with time-dependent ellipticity to produce single attosecond pulses via HHG is proposed, different from the previous work where the gating via the control over ellipticity is realized with one-color field. The two-color field 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. The advantage of this technique is possible to generate strong single attosecond pulses using long (20 fs) pump pulse because it is much easier to obtain a high-energy long pulse than to obtain a high-energy few-cycle laser field.

2. Theory and simulation results

The peak field amplitude E 0, pulse duration τp and carrier-envelope phase (CEP) φ are the same for the two pulses. The carrier frequencies of the two fields are ω and 2ω respectively. The delay between them is Td, which is an integral number of optical periods. The electric fields of the two counter-circularly polarized pulses propagating in the z direction are

El(t)=Re{E0e2ln(2)((tTd/2)/τp)2[x̂ei(ωt+ϕ)+ŷei(ωt+ϕπ/2)]×(1)n},
Er(t)=Re{E0e2ln(2)((t+Td/2)/τp)2[x̂ei(2ωt+ϕ)ŷei(2ωt+ϕπ/2)]×(1)n},

where and ŷ are unit vectors in the x and y directions respectively. The electric field of the synthesis pulse is

E(t)=Re{x̂[e2ln(2)((tTd/2)/τp)2ei(ωt+ϕ)+e2ln(2)((t+Td/2)/τp)2ei(2ωt+ϕ)]+ŷ[e2ln(2)((tTd/2)τp)2ei(ωt+ϕπ/2)e2ln(2)((t+Td/2)/τp)2ei(2ωt+ϕπ/2)]}×(1)n.

And the time-dependent ellipticity of the synthesis pulse in the x direction is showed by Eq. (4).

ξx(t)=EyEx
 figure: 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.

Download Full Size | PPT Slide | PDF

In Fig. 1, the blue solid line shows the calculated ellipticity (in the x direction) of the two-color synthesis pulse using Eq. (3) when Td=τp=20 fs. The red dashed line depicts the ellipticity (in the x direction) of one-color synthesis pulse under otherwise identical conditions. The blue solid curve oscillates with time and the envelope of it is in agreement with the red dashed curve. The ellipticity of one-color synthesis pulse is dependent on the pulse duration and the time delay between them. The width of the ellipticity time-gate is broadened with the decreasing of the time delay. And in the contrary, the width is narrowed with the increasing of the time delay. However, in the case of the two-color synthesis field, the width of the ellipticity time-gate is hardly affected by the time delay between the two pulses. But the change of the time delay gives effects on the modulation depth of the ellipticity curve. The ellipticity of two-color synthesis field is influenced by two different frequencies which resulted in the oscillation of the ellipticity curve. We got a much shorter ellipticity time-gate than in the case of one-color synthesis field. The peak intensity of the synthesis field is also controlled by the time delay in both cases of the two-color and one-color synthesis fields. The moderate time delay, which results in a moderate intensity of synthesis field, is selected in this work.

The fundamental field (left-circularly polarized) and its second harmonic (right-circularly polarized) are assumed to have the same Gaussian pulse shape with a pulse duration τp of 20 fs. The center wavelength of the fundamental field is 800 nm. φ =0 is selected. The peak intensity of the fundamental field and its second harmonic are both 4×1014W/cm2. The peak intensity of the linear portion is 5.66×1014W/cm2. In this work, “few-cycle pulse” refers to 7 fs linearly polarized field with intensity of 8×1014W/cm2, unless specified otherwise, which is showed by Eq. (5).

E(t)=x̂E0exp[2ln(2)(t/τp)2]cos(ωt)

Neon atom (Ip=21.56eV) is considered in our calculation.

Our numerical simulation of the HHG process is based on the current general quantum mechanical model by Lewenstein et al. [17,20], which is practical in quantitative analysis of HHG process. We calculated the ionization rate of electron by Ammosov-Delone-Krainov tunneling ionization formula [22]. All the simulation results: the harmonic spectra and the temporal profiles of attosecond pulses are obtained with this model.

 figure: 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.

Download Full Size | PPT Slide | PDF

The harmonic spectrum and the attosecond pulse profile are calculated. Figure 2(a) shows the high harmonic spectra in the x (blue solid line) and y directions (red dashed line) obtained with two-color synthesis field. Two spectra are plotted in one figure for comparison, while their relative intensities are labeled arbitrarily. The harmonic spectra produced by two-color synthesis field (Fig.2 (a)) give even order harmonics as well as odd order harmonics. The harmonic spectrum (Fig. 2(b)) produced by the few-cycle field contains odd order harmonics only. The second harmonic of the synthesis field resulted in the appearance of even order harmonics. The harmonic spectrum produced by two-color synthesis field is much stronger than that produced by few-cycle field of comparable intensity. These conclusions are agree with previous results of two-color pump pulse [23,23].

 figure: 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.

Download Full Size | PPT Slide | PDF

A Gaussian spectral window is multiplied by the harmonic spectrum, and an inverse Fourier transform is performed to obtain the attosecond pulses in the time domain. In our calculations, a Gaussian window with the full width at half maximum (FWHM) of 6 eV is used. Figure 3(a) shows the single attosecond pulse centered at 51 ħω in the x direction in the case of two-color field and the FWHM of the attosecond pulse is about 470 attosecond. For comparison, we give the single attosecond pulse profile (Fig. 3(b)) centered at 111 ħω produced by linearly polarized few-cycle pump pulse of comparable intensity. Obviously, the intensity of the attosecond pulses in Fig. 3(a) is much stronger than that in Fig. 3(b). In the inset of Fig. 3(a), the blue solid line and the red dashed line depicted the harmonic emissions in the x and y directions respectively with two-color synthesis pump pulse.

The two-color synthesis field is created by two counter-circularly polarized pulses with the duration of 20 fs and two pulses are separated by 20 fs. Although the ellipticity (blue solid line in Fig. 1) is similar to the curve in the case of one-color synthesis field (red dashed line in Fig. 1), there is a fast modulation which is different from the case of one-color field. With this modulation, a much shorter time-gate can be produced which supports the generation of the single attosecond pulse even with 20fs long pump pulse. Because the harmonic emissions, especially in the cut-off region, have a strong dependence on the ellipticity of the pump pulse, the harmonic spectrum with the highest order can only be emitted by the peak intensity. So, although there are many short ellipticity time-gates, only the time-gate around the peak intensity can produce the high-order harmonics of the cut-off region. So the single attosecond pulse can be obtained by the inverse Fourier transform of the spectrum filtered from the cut-off region by a Gaussian window. In our work, from Fig. 2(a) we also can see, although the spectrum is strongly modulated, the spectrum in the cut-off region is not separated to be one harmonics alone. There always have several harmonics in each part. So we think that the spectrum in the cut-off region (Fig. 2(a)) contains some continuum spectra close to each other. To select part of harmonic spectrum centered properly, a nearly continuum spectrum can be filtered out by a Gaussian window. This also claims the function of the time-gate to generate a single attosecond pulse.

 figure: 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.

Download Full Size | PPT Slide | PDF

In this scheme, the CEP also plays an important role. For the CEP (φ =0) we selected, single attosecond pulse is produced in the x direction. If the CEP is changed with π/2 value, more than one attosecond pulses are produced in the x direction while a single attosecond pulse is produced in the y direction. The modulation cycle of the CEP is π. In Fig. 4, attosecond pulses centered at 51 ħω in the x direction produced by two-color synthesis pump pulse with different CEP are given. The single attosecond pulse can only be produced at the CEP=0 and π. So, similar to the previous work, phase stabilized pulses are always needed.

Using a three-dimensional code including the three dimensional wave equation for the harmonic field, the propagation effect, i.e., absorption, dephasing and defocusing can be considered. And the long-path contribution will be suppressed by the propagation effect. According to the work by Chang et. al. [17], the propagation effect may be benefit to the generation of single attosecond pulses.

3. Summary

In conclusion, a new technique for the generation of single attosecond pulses is proposed. Two-color field used as pump pulse is the synthesis of 20 fs fundamental field (left-circularly polarized) and its second harmonic (right-circularly polarized) separated by 20 fs. For the introduction of second harmonic, a much shorter ellipticity time-gate is obtained. And single attosecond pulse is produced in the cut-off. The single attosecond pulse produced by two-color field in the cut-off is about two orders magnitude stronger that produced by few-cycle field of comparable intensity.

Acknowledgments

This work is supported partially by Major Basic Research Project of Shanghai Commission of Science and Technology, the Chinese Academy of Sciences, Chinese Ministry of Science and Technology, and the Natural Science Foundation of China.

References and links

1 . 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]  

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

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

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

5 . P. B. Corkum , N. H. Burnett , and M. Y. Ivanov , “ Subfemtosecond pulses ,” Opt. Lett. 19 , 1870 – 1872 ( 1994 ) [CrossRef]   [PubMed]  

6 . 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]  

7 . 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]  

8 . V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]  

9 . V. T. Platonenko and V. V. Strelkov , “ Single attosecond soft-x-ray pulse generated with a limited laser beam ,” J. Opt. Soc. Am. B 16 , 435 – 440 ( 1999 ) [CrossRef]  

10 . 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]  

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

12 . 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]  

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

14 . 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]  

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

16 . N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE 5120 , 269 – 274 ( 2003 ) [CrossRef]  

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

18 . 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]  

19 . 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]  

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]  

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

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]  

References

  • View by:

  1. 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]
  2. P. B. Corkum , “ Plasma perspective on strong field multiphoton ionization ,” Phys. Rev. Lett.   71 , 1994 – 1997 ( 1993 )
    [Crossref] [PubMed]
  3. K. C. Kulander , K. J. Schafer , and J. K. Krause , in Super-Intense Laser-Atom Physics , B Piraux , A ĹHuillier , and K Rzazewski , eds ( Plenum, New York , 1993 ) p. 95 – 110
    [Crossref]
  4. M. Hentschel , R. Kienberger , Ch. Spielmann , G. A. Reider , N. Milosevic , T. Brabec , P. Corkum , U. Heinzmann , M. Drescher , and F. Krausz , “ Attosecond metrology ,” Nature (London)   414 , 509 – 513 ( 2001 )
    [Crossref]
  5. P. B. Corkum , N. H. Burnett , and M. Y. Ivanov , “ Subfemtosecond pulses ,” Opt. Lett.   19 , 1870 – 1872 ( 1994 )
    [Crossref] [PubMed]
  6. 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]
  7. 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]
  8. V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]
  9. V. T. Platonenko and V. V. Strelkov , “ Single attosecond soft-x-ray pulse generated with a limited laser beam ,” J. Opt. Soc. Am. B   16 , 435 – 440 ( 1999 )
    [Crossref]
  10. 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]
  11. K. S. Budil , P. Salières , M. D. Perry , and Anne L’Huillier , “ Influence of ellipticity on har-monic generation ,” Phys. Rev. A   48 , R3437 – R3440 ( 1993 )
    [Crossref] [PubMed]
  12. 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]
  13. C. Altucci , Ch. Delfin , L. Roos , M. B. Gaarde , A. L’Huillier , I. Mercer , T. Starcze-wski , and C.-G. Wahlström , “ Frequency-resolved time-gated high-order harmonics ,” Phys. Rev. A   58 , 3941 – 3934 ( 1998 )
    [Crossref]
  14. 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]
  15. R. López-Martens , J. Mauritsson , P. Johnsson , and A. L’Huillier , “ Time-resolved el-lipticity gating of high-order harmonic emission ,” Phys. Rev. A   69 , 053811 (4) ( 2004 )
    [Crossref]
  16. N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
    [Crossref]
  17. Zenghu Chang , “ Single attosecond pulse and xuv supercontinuum in the high-order harmonic plateau ,” Phys. Rev. A   70 , 043802 (8) ( 2004 )
    [Crossref]
  18. 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]
  19. 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]
  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]
  22. M. V. Ammosov , N. B. Delone , and V. P. Kraǐ nov , Zh. Eksp. Teor. Fiz., “ Tunnel ionization of complex atoms and of atomic ions in alternating electromagnetic field ,” Sov. Phys. JETP   64 , 1191 – 1194 ( 1986 )
  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]

2005 (3)

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

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]

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]

2004 (3)

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]

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

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

2003 (3)

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

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]

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]

2001 (2)

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]

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

2000 (1)

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

1999 (1)

1998 (1)

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

1996 (1)

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]

1995 (1)

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]

1994 (3)

P. B. Corkum , N. H. Burnett , and M. Y. Ivanov , “ Subfemtosecond pulses ,” Opt. Lett.   19 , 1870 – 1872 ( 1994 )
[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]

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]

1993 (2)

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

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

1992 (1)

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]

1986 (1)

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

Agostini, P.

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]

Altucci, C.

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

Ammosov, M. V.

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

Antoine, Ph.

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]

Atabek, O.

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]

Balcou, P.

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]

Bandrauk, A.

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]

Bandrauk, A. D.

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]

Ben Haj Yedder, A.

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]

Brabec, T.

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

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

Breger, P.

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]

Bucksbaum, P. H.

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]

Budil, K. S.

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

Burnett, N. H.

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]

P. B. Corkum , N. H. Burnett , and M. Y. Ivanov , “ Subfemtosecond pulses ,” Opt. Lett.   19 , 1870 – 1872 ( 1994 )
[Crossref] [PubMed]

Carré, B.

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]

Chang, Zenghu

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

Charalambidis, D.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Chelkowski, S.

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]

Cho, David Jaeyun

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]

Constant, E

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Constant, E.

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]

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]

Corkum, P.

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

Corkum, P. B.

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]

P. B. Corkum , N. H. Burnett , and M. Y. Ivanov , “ Subfemtosecond pulses ,” Opt. Lett.   19 , 1870 – 1872 ( 1994 )
[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]

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]

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

Cormier, E

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Decros, M.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Delfin, Ch.

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

Delone, N. B.

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

Descamps, D.

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]

Dietrich, P.

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]

Drescher, M.

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

Gaarde, M. B.

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

Gajda, M.

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]

Goulielmakis, E.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Heinzmann, U.

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

Hentschel, M.

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

Hertz, E.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Ivanov, M.

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]

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]

Ivanov, M. Y.

Ivanow, M. Y.

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]

Johnsson, P.

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

Jong Kim, I

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]

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]

Kienberger, R.

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

Kim, Chul Min

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]

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]

Kim, Hyung Taek

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]

KovaCev, M.

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]

Krai nov, V. P.

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

Krause, J. K.

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

Krause, Jeffrey L.

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]

Krausz, F.

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

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

Kulander, K. C.

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

Kulander, Kenneth C.

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]

L’Huillier, A.

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

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

L’Huillier, Anne

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

Le Bris, C.

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]

Lee, Gae Hwang

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]

Lee, Yong Soo

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]

Lewenstein, M.

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]

López-Martens, R.

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

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

Mairesse, Y.

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]

Mauritsson, J.

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

Mercer, I.

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

Merdji, H.

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]

Mével, E

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Mével, E.

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]

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]

Milosevic, D. B.

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]

Milosevic, N.

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

Monchicourt, P.

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]

Nam, Chang Hee

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]

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]

Nersisyan, G.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Nikolopoulos, L. A. A.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Papadogiannis, N. A.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Park, Ju Yun

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]

Pearson, B. J.

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]

Perry, M. D.

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

Piraux, B.

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]

Platonenko, V. T.

Plumridge, J.

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]

Priori, E.

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]

Reider, G. A.

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

Roos, L.

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

Salières, P.

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]

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

Schafer, K. J.

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

Schafer, Kenneth J.

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]

Spielmann, Ch.

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

Starcze-wski, T.

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

Strelkov, V

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Strelkov, V. V.

Tatarakis, M.

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and Wieslaw Wolinski , eds., Proc. GCL/HPL, SPIE   5120 , 269 – 274 ( 2003 )
[Crossref]

Tcherbakoff, O

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Tcherbakoff, O.

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]

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]

Wahlström, C.-G.

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

Weinacht, T. C.

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]

White, J. L.

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]

Zaïr, A

V Strelkov , A Zaïr , O Tcherbakoff , R. López-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]

Zuo, T.

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]

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 Zaïr , O Tcherbakoff , R. López-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 , and 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 , and Anne L’Huillier , “ Influence of ellipticity on har-monic 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 , and 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. López-Martens , J. Mauritsson , P. Johnsson , and A. L’Huillier , “ Time-resolved el-lipticity 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. GCL/HPL, SPIE (1)

N. A. Papadogiannis , G. Nersisyan , E. Goulielmakis , M. Decros , M. Tatarakis , E. Hertz , L. A. A. Nikolopoulos , and 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 , and 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. Kraǐ nov , 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 ĹHuillier , and K Rzazewski , eds ( Plenum, New York , 1993 ) p. 95 – 110
[Crossref]

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


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)

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

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 )

Metrics