Improvement of the ionization factor in the quantitative rescattering theory for simulating macroscopic high-order harmonic generation

Abro, Nazia; Wang, Kan; Zhu, Xiancan; Li, Baochang; Jin, Cheng

doi:10.1103/physreva.98.023411

Cited by 11 publications

(5 citation statements)

References 62 publications

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“…( 2) can be accurately calculated by using the quantitative rescattering (QRS) model [44,45]. In this model, the D(t ) is given in the frequency domain D(ω), which can be written as [44,46]…”

Section: E Quantitative Rescattering Model For Single-atom Responsementioning

confidence: 99%

Phase-matching analysis in high-order harmonic generation with nonzero orbital angular momentum Laguerre-Gaussian beams

Jin

Wang

et al. 2020

Phys. Rev. A

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Through high-order harmonic generation driven by intense ultrashort vortex infrared or midinfrared lasers, a nonzero orbital angular momentum can be imprinted onto extreme ultraviolet (XUV) or soft-x-ray (SXR) light pulses. Here we simulate the generation of vortex XUV harmonics in the gas medium as well as their propagation in vacuum till reaching the far field. We find that the intensity and phase of generated high harmonics are very sensitive to the position of gas jet with respect to the laser focus. The topological charge of the qth harmonic is found to be q times that of the driving Laguerre-Gaussian beam. Each harmonic in the far field appears as a single ring in the transverse plane with an invariant diameter which is scalable with the fundamental topological charge only when the gas jet is placed after the laser focus. The underlying phase-matching mechanism is analyzed by examining the spatial map of the coherence length and by calculating the evolution of harmonic emission in the medium. We anticipate this work to stimulate interest in generating intense vortex XUV or SXR attosecond pulses for probing dynamics of molecules where special molecular features are difficult to be detected with linear or circular XUV or SXR pulses.

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Section: E Quantitative Rescattering Model For Single-atom Responsementioning

confidence: 99%

Phase-matching analysis in high-order harmonic generation with nonzero orbital angular momentum Laguerre-Gaussian beams

Jin

Wang

et al. 2020

Phys. Rev. A

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“…We assume that the fundamental LG beams carrying orbital angular momentum (OAM) remain unchanged while propagating through an ionized gas medium, resembling their behaviors in free space. The propagation characteristics of the vortex high-harmonic field in the ionizing medium can be described by (in a Cartesian coordinate) [51,52,58] ∇…”

Section: Propagation Equations Of High-harmonic Field In the Gas Mediummentioning

confidence: 99%

“…(3), can be accurately calculated by using the quantitative rescattering (QRS) model. [60,61] In this model, D(t) is expressed in the frequency domain as D(ω), which can be written as [58]…”

Section: Quantitative Rescattering Model For Single-atom Responsementioning

confidence: 99%

Tailoring OAM spectrum of high-order harmonic generation driven by two mixed Laguerre–Gaussian beams with nonzero radial nodes

Wang 汪,

Han 韩,

Jin 金

2023

Chinese Phys. B

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The extreme ultraviolet (XUV) light beam carrying orbital angular momentum (OAM) can be produced via high-order harmonic generation (HHG) due to the interaction of an intense vortex infrared laser and a gas medium. Here we show that the OAM spectrum of vortex HHG can be readily tailored by varying the radial node (from 0 to 2) in the driving laser consisting of two mixed Laguerre-Gaussian (LG) beams. We find that due to the change of spatial profile of HHG, the distribution range of OAM spectrum can be broadened and its shape can be modified by increasing the radial node. We also show that the OAM mode range becomes much wider and its distribution shape becomes more symmetric when the harmonic order is increased from the plateau to the cutoff when the driving laser has the nonzero radial node. Through the map of coherence length and the evolution of harmonic field in the medium, we reveal that the favorable offaxis phase-matching conditions are greatly modified due to the change of intensity and phase distributions of driving laser with the radial node. We anticipate this work to stimulate some interests in generating the XUV vortex beam with tunable OAM spectrum through the gaseous HHG process achieved by manipulating the mode properties of driving laser beam.

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“…For a linearly polarized laser, single-atom induced dipole moment D(t) can be accurately calculated by using the QRS model. [52,53] Based on the three-step model, the QRS model improves the SFA, and it can give the harmonic intensity distribution in the whole spectral range nearly as accurate as solving the three-dimensional (3-D) TDSE. [45] Note that the analytical formulation of induced dipole moment has been derived by the TDSE in the length gauge under the SFA.…”

Section: Quantitative Rescattering Modelmentioning

confidence: 99%

Calibration of quantitative rescattering model for simulating vortex high-order harmonic generation driven by Laguerre–Gaussian beam with nonzero orbital angular momentum

Han 韩,

Guan 管,

Wang 汪

et al. 2023

Chinese Phys. B

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We calibrate the macroscopic vortex high-order harmonic generation (HHG) obtained by using the quantitative rescattering (QRS) model to compute single-atom induced dipoles against that by solving the timedependent Schrödinger equation (TDSE). We show that the QRS perfectly agrees with the TDSE under the favorable phase-matching condition, and the QRS can accurately predict the main features in the spatial profiles of vortex HHG if the phase-matching condition is not good. We uncover that harmonic emissions from “short” and “long” trajectories are adjusted by the phase-matching condition through the time-frequency analysis and the QRS can simulate the vortex HHG accurately only when the interference between two trajectories is absent. This work confirms that it is an efficient way to employ the QRS model in the single-atom response for precisely simulating the macroscopic vortex HHG.

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Improvement of the ionization factor in the quantitative rescattering theory for simulating macroscopic high-order harmonic generation

Cited by 11 publications

References 62 publications

Phase-matching analysis in high-order harmonic generation with nonzero orbital angular momentum Laguerre-Gaussian beams

Phase-matching analysis in high-order harmonic generation with nonzero orbital angular momentum Laguerre-Gaussian beams

Tailoring OAM spectrum of high-order harmonic generation driven by two mixed Laguerre–Gaussian beams with nonzero radial nodes

Calibration of quantitative rescattering model for simulating vortex high-order harmonic generation driven by Laguerre–Gaussian beam with nonzero orbital angular momentum

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