Validity of the quantitative rescattering theory for high-order harmonic generation of atoms in two-color laser pulses

Zhao, Song-Feng; Wang, Yunqin; Wang, Guoli; Zhou, Xiaoxin

doi:10.1016/j.optcom.2014.04.044

Cited by 14 publications

(6 citation statements)

References 58 publications

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“…The quantitative rescattering (QRS) model, [109,110] as a semi-empirical method, extending and modifying the SFA, which relies on the approximate factorization of the HHG induced dipole, has been "justified" based on the numerical solution of the TDSE for atoms [111] and molecular ion H + 2 , [112] and has also been tested for a two-color laser field. [113] Taking an atomic target as an example, according to the QRS model, the induced dipole moment (complex and in the frequency domain) in a linearly polarized laser can be written as…”

Section: Strong-field Approximation and Quantitative Rescattering Modelmentioning

confidence: 99%

Optimization of multi-color laser waveform for high-order harmonic generation

Jin

Lin

2016

Chinese Phys. B

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With the development of laser technologies, multi-color light-field synthesis with complete amplitude and phase control would make it possible to generate arbitrary optical waveforms. A practical optimization algorithm is needed to generate such a waveform in order to control strong-field processes. We review some recent theoretical works of the optimization of amplitudes and phases of multi-color lasers to modify the single-atom high-order harmonic generation based on genetic algorithm. By choosing different fitness criteria, we demonstrate that: (i) harmonic yields can be enhanced by 10 to 100 times, (ii) harmonic cutoff energy can be substantially extended, (iii) specific harmonic orders can be selectively enhanced, and (iv) single attosecond pulses can be efficiently generated. The possibility of optimizing macroscopic conditions for the improved phase matching and low divergence of high harmonics is also discussed. The waveform control and optimization are expected to be new drivers for the next wave of breakthrough in the strong-field physics in the coming years.

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Section: Strong-field Approximation and Quantitative Rescattering Modelmentioning

confidence: 99%

Optimization of multi-color laser waveform for high-order harmonic generation

Jin

Lin

2016

Chinese Phys. B

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“…The spectral modulation can be controlled by adjusting the time delay between the XUV and IR laser pulses. We will first separate the coupling between the XUV and IR pulses in the formulation of the SFA, and then we will extend and modify the well-established quantitative rescattering (QRS) model [44][45][46], which is valid for HHG from linearly polarized single-or multicolor IR laser pulses [47][48][49]. The calculated streaking spectra will be compared to those obtained by numerically solving the TDSE.…”

Section: Introductionmentioning

confidence: 99%

Extended quantitative rescattering model for simulating high-order harmonic streaking spectra by synchronization of an intense IR laser and a time-delayed attosecond XUV pulse

Wang

Tang

et al. 2021

Phys. Rev. A

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We theoretically investigate the modulated high-harmonic generation (HHG) driven by an intense few-cycle infrared (IR) laser field and a weak extreme-ultraviolet (XUV) pulse at a delayed time. We establish an extended quantitative rescattering (EQRS) model to simulate the HHG streaking spectra, with the ideas of correcting the IR ionization and the transition from the ground to continuum states in the strong-field approximation.The EQRS model has an accuracy comparable to that from "exactly" solving the time-dependent Schrödinger equation (TDSE). We reveal that the fringes in the streaking spectra are caused by the interference between the attosecond XUV pulse and harmonics resulting from different recombination pathways under the intense IR laser. We then demonstrate that the XUV pulse can be accurately retrieved by treating the single-atom TDSE results or macroscopic propagation results as the "input" data. This work provides with a tool for efficiently simulating and thoroughly analyzing the XUV-assisted HHG, which could also enhance its capability for tracing the electron dynamics involved in the strong-field phenomena.

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“…Besides the atomic system, HHG has been investigated in many other systems. [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] As is well known, the harmonic spectrum from a single atom in a strong laser field presents some common and significant features. [19][20][21] Typically, only odd harmonics are observed in theoretical simulations and experiments.…”

Section: Introductionmentioning

confidence: 99%

“…[24] In recent years, the molecular high-order harmonic generation (MHOHG) has been broadly studied, since molecules have more degrees of freedom which can be used to further control HHG. [26][27][28][29][30] The odd-even-order harmonic generation from molecular systems has been also investigated. [31][32][33][34] It has been shown that the molecules are more complicated than the atom, [35,36] but the harmonic generation spectra (HGS) are still composed only of odd harmonics for symmetric molecules in Born-Oppenheimer approximation.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

Yue

et al. 2017

Chinese Phys. B

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We calculated the harmonic spectra generated from the asymmetric molecules of HD + and HeH 2+ . It is found that HD + produces only odd harmonics, while HeH 2+ produces both odd and even harmonics. Further analysis reveals that for both HD + and HeH 2+ , the nuclear dipole acceleration can generate even harmonics, but it is three orders of magnitude lower than that of the electron. Hence, the electronic dipole acceleration dominates the harmonic generation. For HD + , the electronic dipole acceleration only contributes to the generation of odd harmonics, but for HeH 2+ it contributes to the generation of both odd and even harmonics. Besides, one concept of the broken degree of system-symmetry is proposed to explain the different odd-even property between the harmonic spectra of HD + and HeH 2+ .

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Validity of the quantitative rescattering theory for high-order harmonic generation of atoms in two-color laser pulses

Cited by 14 publications

References 58 publications

Optimization of multi-color laser waveform for high-order harmonic generation

Optimization of multi-color laser waveform for high-order harmonic generation

Extended quantitative rescattering model for simulating high-order harmonic streaking spectra by synchronization of an intense IR laser and a time-delayed attosecond XUV pulse

Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

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