Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (1): 129-136.doi: 10.3969/j.issn.1000-5641.202022008

• Physics and Electronics • Previous Articles     Next Articles

Theoretical simulations of the square potential barrier with a super-Gaussian beam

Jiaxin LI, Guangjiong DONG*()   

  1. State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
  • Received:2020-04-08 Online:2021-01-25 Published:2021-01-28
  • Contact: Guangjiong DONG


The square potential barrier is an ideal model for investigation of quantum tunneling. We simulate the square potential barrier by using the dipole potential for the interaction between an atom and a blue-detuned far-off-resonant super-Gaussian beam, as well as the ponderomotive potential for the interaction between an electron and a super-Gaussian beam. A comparison between the numerical results for scattering by the super-Gaussian potential barrier and the analytical results for scattering by a square potential barrier shows that a super-Gaussian beam with an order exceeding 20 could simulate a square potential barrier accurately. We also show that two super-Gaussian beams could be used to study the resonant quantum tunneling effect. In summary, our results could be applied to an experimental investigation of quantum tunneling through a square potential barrier.

Key words: super-Gaussian beam, square potential barrier, scattering, transmission coefficient

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