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
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
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.
Received: 04 July 1997
Accepted manuscript online:
PACS:
42.65.Sf
(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
Fund: 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.
Cite this article:
LIU JIE (刘杰), CHEN SHI-GANG (陈式刚), BAMBI HU CHAOTIC BEHAVIOR OF A ONE-DIMENSIONAL MODEL ATOM IN AN INTENSE FIELD 1998 Acta Physica Sinica (Overseas Edition) 7 89
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