Analytical formulae for trajectory displacement in electron beam and generalized slice method.

0534937 - ÚPT 2021 RIV NL eng J - Journal Article
Stopka, Jan
Analytical formulae for trajectory displacement in electron beam and generalized slice method.
Ultramicroscopy. Roč. 217, OCT (2020), č. článku 113050. ISSN 0304-3991. E-ISSN 1879-2723
R&D Projects: GA TA ČR(CZ) TE01020118; GA MŠMT(CZ) LO1212; GA MŠMT ED0017/01/01
Institutional support: RVO:68081731
Keywords : coulomb interaction * trajectory displacement * electron optics * slice method * Holtzmark regime * pencil-beam regime
OECD category: Optics (including laser optics and quantum optics)
Impact factor: 2.689, year: 2020
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/abs/pii/S0304399120302011

Trajectory displacement due to statistical Coulomb interactions can play a major role in determining the per-formance of a charged particle beam system. Accurate estimation of the trajectory displacement is thus an important part of the design procedure of such an optical system. Traditionally, there are three approaches to determine the trajectory displacement: Monte Carlo simulation, the slice method, where trajectory displacement
is integrated along the beam length and finally a full analytical formula describing transparently the dependence of the trajectory displacement on the parameters of the system. The latter two were developed thoroughly by Jansen and Jiang. We revise Jansen’s slice method and the derivation of the integral formulae in Holtzmark and pencil-beam regimes. We show the integral formula fails to give accurate results in case a transition between the regimes occurs and we derive a new analytical expression unifying the Holtzmark and pencil-beam regime into a single formula. Furthermore, we generalize the slice method for arbitrary beam trajectory, hugely increasing its accuracy for non-ideal systems.
Permanent Link: http://hdl.handle.net/11104/0313066