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arXiv · 1709.04886

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

Jack J. Shi·Wade Rush
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Abstract

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 without approximation from any given model of electron-ion interaction for an ultra-relativistic beam channeling in any crystal direction. The formalism presented should be the standard recipe of the lattice potential for studying the channeling radiation.

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Jack J. Shi, Wade Rush. 2017-09-14. A general formalism of two-dimensional lattice potential on beam transverse plane for studying channeling radiation. https://doi.org/10.1016/j.nimb.2017.12.018

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