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The principle of similarity of trajectories for the motion of charged particles with different masses in electric and magnetic fields that are homogeneous in Euler terms


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Abstract

An electric field with potentials that is homogeneous in Euler terms satisfies the principle of similarity of trajectories that was derived by Yu.K. Golikov. Such fields are a useful tool for the development of electron and ion optical systems with unique properties. In this paper, the principle of similarity of trajectories is generalized to the case of a magnetic field and a combined electric and magnetic field that are homogeneous in Euler terms.

About the authors

I. A. Averin

Institute for Analytical Instrumentation; Peter the Great St. Petersburg Polytechnic University

Author for correspondence.
Email: asberd@yandex.ru
Russian Federation, St. Petersburg, 190103; St. Petersburg, 195251

A. S. Berdnikov

Institute for Analytical Instrumentation

Email: asberd@yandex.ru
Russian Federation, St. Petersburg, 190103

N. R. Gall

Institute for Analytical Instrumentation; Ioffe Physical-Technical Institute

Email: asberd@yandex.ru
Russian Federation, St. Petersburg, 190103; St. Petersburg, 194021

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