The photodetachment of hydrogen negative ion in the magnetic field near a metal surface is studied using a semiclassical theory of photodetachment microscopy. During photodetachment of H À in the presence of magnetic field near a metal surface, the trajectories of the detached electron emitting from different directions may intersect at a large distance from H À , thus creating an interference pattern in the electron flux distributions. For a given ion-surface distance, the electron flux distributions are calculated at various magnetic field strength. The results show that with the increase in magnetic field strength the interference pattern in the flux distributions becomes much more complicated because the number of the classical trajectories of the detached electrons contributing to the electron flux distributions increases. In addition, we find as the detached electron's energy changes, the detached-electron flux distributions change accordingly. Therefore, the interference pattern in the detached-electron flux distributions can be controlled by adjusting the magnetic field strength and the detached electron's energy. We hope that our studies may guide future experimental research in the photodetachment microscopy.

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This paper investigates the flux distributions of the electron photo-detached from H− ion localized in a gradient electric field. In contrast with the photodetachment in the uniform electric field [Phys. Rev. A 40 (1989) 4983], where only two electron trajectories interfere at each given point on a detector, for the photodetachment in a gradient electric field, the electrons waves can travel along multiple paths from the negative ion to a given point on the detector plane, which makes the electron flux distributions on the detector plane become much complex. Using the semi-classical theory, we put forward a formula for calculating the electron flux. Our calculation results suggest that the electron flux distributions on a given detector plane is not only related to the propagation time of the detached electron, but also related to the detached electron's energy. With the increase of the detached electron's energy, the oscillating region in the electron flux distributions becomes enlarged and the oscillating structure in the flux distributions becomes much more complicated. This study will guide future experiment research on the photodetachment microscopy of the negative ions in the presence of non-uniform external fields.