A general formalism of two-dimensional lattice potential on beam transverse plane for studying channeling radiation

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS

卷:418

Article

Shi, Jack J.¹  Rush, Wade D.¹ 

[1] Univ Kansas, Dept Phys & Astron, Lawrence, KS 66045 USA

关键词: Channeling electron;    Channeling radiation;    Transverse motion of electron;    Crystal lattice;    Lattice potential for transverse motion;   

DOI  :  10.1016/j.nimb.2017.12.018

来源: Elsevier

【 摘 要 】

To study channeling radiation produced by an ultra-relativistic electron beam channeling through a single crystal, a lattice potential of the crystal is required for solving the transverse motion of beam electrons under the influence of the crystal lattice. In this paper, we present a general formalism for this two-dimensional lattice potential of a crystal with a Lorentz contraction in the beam channeling direction. With this formalism, the lattice potential can be calculated from any given model of electron-ion interaction for an ultra-relativistic beam channeling in any crystal direction. This calculation of the lattice potential does not involve any additional approximation other than those originally in the electron-ion interaction model. The formalism presented should be the standard recipe of the lattice potential for studying the channeling radiation.

【 授权许可】

Free