Single attosecond burst generation during ionization of excited atoms by intense ultrashort laser pulses

We develop an analytical approach to describing the generation of a single attosecond burst during barrier-suppression ionization of a hydrogen atom by an intense laser pulse. We derive analytical expressions that describe the evolution of the electron wave packet in the time interval between the detachment from the atom and the collision with the parent ion for an arbitrary initial atomic state by assuming the atom to be fully ionized in one laser-field half-period. For various s-states, we derive expressions for the profile of the attosecond burst generated when the electron packet collides with the ion and analyze the dependence of its generation efficiency on the principal quantum number n of the initial atomic state. The results obtained are compared with the results of three-dimensional numerical calculations. We show that the attosecond pulse generation efficiency can be several orders of magnitude higher than that in the case of ionization from the ground state when pre-excited atomic states are used.     

Attosecond burst and high-harmonic generation in molecular ionization by ultrashort laser pulses

It is shown that the efficiency of attosecond pulse and high-harmonic generation in the ionization of excited molecular structures by a powerful femtosecond optical pulse can appreciably exceed the efficiency of analogous processes in atomic systems. This is due to the presence of a delocalized electron wave-packet component in the nonequilibrium molecular states, resulting in an increase of the number of particles that are effectively involved in the bremsstrahlung generation in the course of recollisions of laser-accelerated electrons with molecular core. Calculations suggest that, by optimizing the nonlinear response of molecular systems in the ionization process, one can develop compact sources of coherent vacuum ultraviolet and X-ray radiation with luminance at a level that is presently achieved only at large-scale accelerator facilities with free-electron lasers.     

Tunneling and other modes of atomic ionization in the presence of strong few-cycle laser pulses and generation of attosecond pulses

Numerical integration of the nonstationary Schrödinger equation describing the dynamics of a quantum system in the presence of the electromagnetic wave field is employed to study atomic hydrogen ionization in the presence of an ultrashort laser pulse. It is demonstrated that, in the nonadiabatic mode, in the presence of a pulse with a duration of one or two optical cycles, the ionization probability is anomalously high in comparison with predictions based on the Keldysh ionization theory and various modifications of this theory. It is shown that the nonadiabatic and multiphoton modes of the atomic ionization in the presence of ultrashort laser pulses are superior to the low-frequency adiabatic mode in the effective generation of attosecond XUV pulses.     

On the keldysh ionization theory for ultrashort laser pulses

A closed analytical expression is obtained for the momentum distribution of photoelectrons from the ionization of atoms or ions by an ultrashort laser pulse. This formula is applied to analyze some models of electromagnetic pulses and the interference effect in the ionization probability.     

Peculiarities of filamentation of sharply focused ultrashort laser pulses in air

Peculiarities of the self-focusing and filamentation of high-power femtosecond laser pulses in air have been experimentally and theoretically studied under conditions of broad variation of the beam focusing parameter. The influence of the numerical aperture (NA) of the initial radiation focusing on the main characteristics of laser-induced plasma columns (characteristic transverse size, length, and concentration of free electrons) is considered. It is established that, for a rigid (NA > 0.05) initial laser beam focusing, the transverse size of the plasma channel ceases to decrease at a level of R _pl ≈ 2–4 μm as a result of strong refraction of radiation on the plasma formed at the focal waist, which prevents further contraction of the laser beam due to its focusing and self-focusing.     

New laser crystals for the generation of ultrashort pulses

Since the beginning of the 1990s, titanium sapphire has become the crystal of choice for the development of ultrashort laser systems producing very short and powerful pulses using the Chirped Pulse Amplification technique. In parallel to these developments leading to commercial products, new laser crystals have been studied in order to reach directly other wavelength ranges and to overcome the need to develop cw or pulsed green laser to pump the titanium sapphire crystal. In order to be able to directly pump the crystals with a very efficient and high-power semiconductor laser, new crystals doped with chromium or ytterbium ions have been developed. This article will review the latest development in this research field with the best performances obtained in terms of pulse duration. To cite this article: F. Druon et al., C. R. Physique 8 (2007).     

Measurements of multiphoton ionization coefficients with ultrashort ultraviolet laser pulses

Multiphoton ionization coefficients of atmospheric gases were measured with ultrashort ultraviolet laser pulses. The values were obtained using two different experimental setups and the pressure range covered four orders of magnitude. The coefficients were pressure-independent and consistent with numbers predicted by the nonresonant Keldysh theory. Received: 13 June 2000 / Revised version: 5 October 2000 / Published online: 7 February 2001     

Matched second-harmonic generation of ultrashort laser pulses in photonic crystals

It is shown that one-dimensional photonic bandgap structures are capable of simultaneously satisfying the phase and group-velocity matching conditions for second-harmonic generation involving extremely short light pulses. When these conditions are satisfied, an optical frequency doubler utilizing photonic bandgap structures provides a means for increasing the rate of growth of the second-harmonic signal as a function of the nonlinear-optical interaction length relative to structures designed for quasi-matched interactions and affords possibilities for enhancing the frequency doubling efficiencies independently of the matching length in the bulk nonlinear material. Pis’ma Zh. éksp. Teor. Fiz. 70, No. 12, 800–805 (25 December 1999)     

Control mechanism of atomic ionization and high-order harmonic generation assisted by attosecond pulses

Attosecond pulses combined with infrared laser constitute a powerful tool for controlling atomic photoionization and high-order harmonic generation (HHG). We apply the intense-field many-body S-matrix theory to solve such two-pulse excitation problems. The theory can give a clear explanation for the oscillation of ionization probability as a function of time delay between infrared field and attosecond pulses with central frequency lying below ionization threshold at moderate infrared intensities. The HHG assisted by such attosecond pulses is also interpreted. In addition to a known dramatic enhancement of HHG, a harmonic emission from rapid oscillation of bound-state population caused by the counter-rotating wave is presented.     

Tunneling ionization of a hydrogen atom in short and ultrashort laser pulses

The ionization of a hydrogen atom in a linearly polarized low-frequency electromagnetic field is investigated by direct numerical integration of the time-dependent Schrödinger equation. The data obtained for various ionization regimes and various initial atomic states are compared with the Keldysh and Perelomov-Popov-Terent’ev (PPT) theories. The validity ranges for the quasi-static model of tunneling ionization and the PPT theory in laser intensity and frequency are determined. The tunneling ionization of the excited 2s and 2p states is discussed. The ionization of a hydrogen atom in an ultrashort (on the order of one optical period) pulse is investigated.     

Tunable second harmonic generation by phase-modulated ultrashort laser pulses

We report on the generation of tunable light around 400?nm by frequency-doubling ultrashort laser pulses whose spectral phase is modulated by a sum of sinusoidal functions. The linewidth of the ultraviolet band produced is narrower than 1?nm, in contrast to the 12?nm linewidth of the non-modulated incident spectrum. The influence of pixellation of the liquid crystal spatial light modulator on the efficiency of the phase-modulated second harmonic generation is discussed.     

Generation of high harmonics and attosecond pulses with ultrashort laser pulse filaments and conical waves

Results illustrating the nonlinear dynamics of ultrashort laser pulse filamentation in gases are presented, with particular emphasis on the filament properties useful for developing attosecond light sources. Two aspects of ultrashort pulse filaments are specifically discussed: (i) numerical simulation results on pulse self-compression by filamentation in a gas cell filled with noble gas. Measurements of high harmonics generated by the pulse extracted from the filament allows for the detection of intensity spikes and subcycle pulses generated within the filament. (ii) Simulation results on the spontaneous formation of conical wavepackets during filamentation in gases, which in turn can be used as efficient driving pulses for the generation of high harmonics and isolated attosecond pulses.     

Molecular photoelectron momentum and angular distributions of N_2 molecules by ultrashort attosecond laser pulses

The ultrafast photoionization dynamics of N_2 molecules by x-ray/XUV laser pulses is investigated.The molecular frame photoelectron momentum distributions(MF-PMDs) and the molecular frame photoelectron angular distributions(MF-PADs) are obtained by numerically solving 2 D time-dependent Schrodinger equations within the single-electron approximation(SEA) frame.The results show that the molecular photoionization diffraction appears in 5 nm laser fields.However,when the laser wavelength is 30 nm,the molecular photoionization diffraction disappears and the MF-PMDs show four-lobe pattern.The ultrafast photoionization model can be employed to describe the MF-PMDs and MF-PADs of N_2 molecules.     

Single attosecond pulse generation with intense mid-infrared elliptically polarized laser pulses

We have studied theoretically high-harmonic-order and single attosecond pulse generation with elliptically polarized laser pulses at wavelengths ranging from the visible to the mid-infrared. Results of ab initio simulations of the time-dependent Schr?dinger equation show that the ellipticity dependence of the high-harmonic signal intensifies with increasing wavelength of the driving pulse and saturates in the mid-infrared. The isolation of single attosecond pulses using the polarization gating method in the mid-infrared is due to an effective suppression of side pulses as compared with an operation at Ti:sapphire wavelengths.     

Effect of the initial phase of the field in ionization by ultrashort laser pulses

We report on observable new features related to ionization of atoms by laser pulses of only few cycles and some intensity. We show that for particular photo-electron energies, the angular distribution becomes asymmetric and that this asymmetry is related to the initial phase of the field. Received: 4 November 1997/Revised: 21 January 1998/Accepted: 23 February 1998     

High-average-power 2-kHz laser for generation of ultrashort x-ray pulses

We describe a Ti:sapphire-based laser-x-ray system specifically designed for generation of ultrafast x-ray pulses in the tenths-of-nanometers spectral range at a 2-kHz repetition rate. To obtain high-contrast laser pulses we divide the laser system into a section for generation of microjoule, high-contrast pulses with pulse cleaning and a subsequent section for chirped-pulse amplification and pulse compression. This laser section operates in conjunction with an x-ray-generation section based on a moving copper wire in a He atmosphere. The high reliability of the entire system permits maintenance-free production of x-ray pulses over tens of hours. Average x-ray fluxes of 10(13) photons/(s 4pi sr 1 keV) at 3 keV and 10(9) photons/(s 4pi sr) above 5 keV of photon energy are produced.     

Generation of XUV attosecond pulses in the process of atomic ionization by few-cycle laser radiation

Ionization of a model two-electron atom in the presence of a strong field of ultrashort laser pulses is investigated using the numerical integration of the nonstationary Schrödinger equation, which describes the dynamics of a quantum system in the presence of an electromagnetic wave. The features of two-electron ionization in the presence of one-and two-cycle pulses are analyzed. The suppression of double ionization in the presence of ultrashort laser pulses related to a finite-time interelectron energy exchange upon the laser action is demonstrated. The features of the generation of high-order harmonics and single XUV attosecond pulses are studied for the atomic ionization by few-cycle laser pulses. The parameters of the laser pulse are optimized for the effective generation of a single XUV attosecond pulse.     

Third harmonic generation by ultrashort laser pulses tightly focused in air

The influence of focusing conditions (numerical apertures from 0.004 to 0.06) on absolute energetic characteristics of third harmonic generation (THG) in air was experimentally studied for pumping 1R (744 nm wavelength) femtosecond laser pulses. THG was observed both for sub-critical and super-critical laser pulses in the linear and non-linear propagation modes, respectively. The maximum THG efficiency of 1.6 × 10⁻³ was obtained in our experiments at the tight focusing conditions and the sub-critical pulse powers.     

Strong field ionization by ultrashort laser pulses: Application of the Keldysh theory

Analytical expressions and numerical results describing ionization of atoms by intense linearly polarized ultrashort laser pulses are obtained in the frame of the Keldysh approach. Photoelectron spectra and total ionization probabilities are presented for several analytical models of a single-cycle laser pulse. In particular, strong left-right asymmetry of the spectra is shown for the case of odd pulses.