中国物理B ›› 2020, Vol. 29 ›› Issue (2): 23202-023202.doi: 10.1088/1674-1056/ab6553

所属专题： SPECIAL TOPIC — Optical field manipulation

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Numerical simulations of strong-field processes in momentum space

Yan Xu(徐彦), Xue-Bin Bian(卞学滨)   

  1. 1 College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China;
    2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • 收稿日期:2019-11-07 修回日期:2019-11-30 出版日期:2020-02-05 发布日期:2020-02-05
  • 通讯作者: Xue-Bin Bian E-mail:xuebin.bian@wipm.ac.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2019YFA0307702), the National Natural Science Foundation of China (Grants Nos. 91850121 and 11674363), the Science Fund of Educational Department of Henan Province of China (Grant No. 2011C140001), and the Ninth Group of Key Disciplines in Henan Province, China (Grant No. 2018119).

Numerical simulations of strong-field processes in momentum space

Yan Xu(徐彦)1, Xue-Bin Bian(卞学滨)2   

  1. 1 College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China;
    2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2019-11-07 Revised:2019-11-30 Online:2020-02-05 Published:2020-02-05
  • Contact: Xue-Bin Bian E-mail:xuebin.bian@wipm.ac.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2019YFA0307702), the National Natural Science Foundation of China (Grants Nos. 91850121 and 11674363), the Science Fund of Educational Department of Henan Province of China (Grant No. 2011C140001), and the Ninth Group of Key Disciplines in Henan Province, China (Grant No. 2018119).

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摘要： The time-dependent Schrödinger equation (TDSE) is usually treated in the real space in the textbook. However, it makes the numerical simulations of strong-field processes difficult due to the wide dispersion and fast oscillation of the electron wave packets under the interaction of intense laser fields. Here we demonstrate that the TDSE can be efficiently solved in the momentum space. The high-order harmonic generation and above-threshold ionization spectra obtained by numerical solutions of TDSE in momentum space agree well with previous studies in real space, but significantly reducing the computation cost.

关键词: high-order harmonic generation, above-threshold ionization, numerical method

Abstract: The time-dependent Schrödinger equation (TDSE) is usually treated in the real space in the textbook. However, it makes the numerical simulations of strong-field processes difficult due to the wide dispersion and fast oscillation of the electron wave packets under the interaction of intense laser fields. Here we demonstrate that the TDSE can be efficiently solved in the momentum space. The high-order harmonic generation and above-threshold ionization spectra obtained by numerical solutions of TDSE in momentum space agree well with previous studies in real space, but significantly reducing the computation cost.

Key words: high-order harmonic generation, above-threshold ionization, numerical method

中图分类号:  (Multiphoton ionization and excitation to highly excited states)

  • 32.80.Rm
42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation) 42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)