Analytical description of the electrostatic field of multiple system based on a conducting circular cylinder
Spivak-Lavrov I.F. Shugayeva T.Z. Seiten A.B. Amantaeva A.S.
March 2026Elsevier B.V.
Journal of Electrostatics
2026#140
This study presents the analytical derivation of potential functions characterizing the electrostatic fields of multipole systems based on a conducting circular cylinder, utilizing methods from the theory of complex variable functions. Explicit analytical expressions for the field potentials and their derivatives have been obtained, enabling the computational modeling of equipotential lines for various multipolar configurations, including quadrupole, sextupole and octupole systems. The presented results were obtained under the assumption of infinitely narrow insulating gaps between electrodes. Furthermore, an algorithm and a suite of application software were developed to compute the potentials and electric field intensities of multipole systems constructed on the basis of a conducting circular cylinder. The results obtained in study can be applied to the design and calculation of charged particle beam transport systems, anti-resonance mass analyzers, and various electrostatic multipole traps, as well as multipole aberration correction in electron microscopy.
Anti-resonance mass analyzer , Charged particle beam transport systems , electrostatic multipole traps , Multipole correction of aberrations
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K. Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
K. Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026