中国物理B ›› 1998, Vol. 7 ›› Issue (2): 89-105.doi: 10.1088/1004-423X/7/2/002

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CHAOTIC BEHAVIOR OF A ONE-DIMENSIONAL MODEL ATOM IN AN INTENSE FIELD

BAMBI HU1, 陈式刚2, 刘杰3   

  1. (1)Department of Physics and Centre for Nonlinear and Complex Systems,Hong Kong Baptist University, Hong Kong, China, Department of Physics, University of Houston, Houston, TX 77204 USA; (2)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; (3)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China, Department of Physics and Centre for Nonlinear and Complex Systems,Hong Kong Baptist University, Hong Kong, China
  • 收稿日期:1997-07-04 出版日期:1998-02-20 发布日期:1998-02-20
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China/19674011, the Science Foundation of the CAEP, National High Technology Committee of Laser and the Hong Kong Baptist University Faculty Research Grant.

CHAOTIC BEHAVIOR OF A ONE-DIMENSIONAL MODEL ATOM IN AN INTENSE FIELD

LIU JIE (刘杰)ab, CHEN SHI-GANG (陈式刚)a, BAMBI HUbc   

  1. a Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; b Department of Physics and Centre for Nonlinear and Complex Systems, Hong Kong Baptist University, Hong Kong, China; c Department of Physics, University of Houston, Houston, TX 77204 USA
  • Received:1997-07-04 Online:1998-02-20 Published:1998-02-20
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China/19674011, the Science Foundation of the CAEP, National High Technology Committee of Laser and the Hong Kong Baptist University Faculty Research Grant.

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摘要： In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold ionization spectra and high-order harmonic generation are calculated from this model. They are qualitatively in agreement with the quantum results and experiments. In particular, we find that this model is charact erized by chaotic scattering. Modern nonlinear theory is used to analyze this dy namical system. It is found that singular self-similar fractal structure exists in the phase-dependence energy spectra, and the unstable manifolds constitute the chaotic scattering pattern. Our results also demonstrate a close connection of irregular trajectories with the energy spectra and high-order harmonic gener ation. We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization.

Abstract: In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold ionization spectra and high-order harmonic generation are calculated from this model. They are qualitatively in agreement with the quantum results and experiments. In particular, we find that this model is charact erized by chaotic scattering. Modern nonlinear theory is used to analyze this dy namical system. It is found that singular self-similar fractal structure exists in the phase-dependence energy spectra, and the unstable manifolds constitute the chaotic scattering pattern. Our results also demonstrate a close connection of irregular trajectories with the energy spectra and high-order harmonic gener ation. We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization.

中图分类号:  (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)

  • 42.65.Sf
42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation) 32.80.Fb (Photoionization of atoms and ions)