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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081731%3A_____%2F20%3A00534937" target="_blank" >RIV/68081731:_____/20:00534937 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0304399120302011" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0304399120302011</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ultramic.2020.113050" target="_blank" >10.1016/j.ultramic.2020.113050</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 displacementnis 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 displacementnis 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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Ultramicroscopy

ISSN

0304-3991

e-ISSN

—

Svazek periodika

217

Číslo periodika v rámci svazku

OCT

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

113050

Kód UT WoS článku

000588011200002

EID výsledku v databázi Scopus

2-s2.0-85087419771