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Proceedings Paper

New theoretical approach to the self-coordinated problem in charged-particle optics
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Paper Abstract

A new theoretical line of attack to solve the self- coordinated problem in charge particle optics is developed basing on the aberration theory and (tau) -variation technique. The self-coordinated problem is treated as initial-value problem for the evolution integro-differential equation which directly follows from the Lorentz equation with taking into account the space charge effects. The Coulomb potential of a beam is presented in the form of integral taken over the initial parameters domain, and the induced potential (the `mirror image' potential) is presented in the convolution form with a Green function satisfying the adjacent Fredholm integral equation of the first kind. Some considerations to numerical solution of the evolution equation obtained are applied.

Paper Details

Date Published: 25 October 1996
PDF: 9 pages
Proc. SPIE 2858, Charged-Particle Optics II, (25 October 1996); doi: 10.1117/12.255510
Show Author Affiliations
Mikhail A. Monastyrski, General Physics Institute (Russia)
Victor A. Tarasov, General Physics Institute (Russia)
Anatoly M. Filachev, Research Institute for Electron and Ion Optics (Russia)


Published in SPIE Proceedings Vol. 2858:
Charged-Particle Optics II
Eric Munro, Editor(s)

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