The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge behaviour of the unknown induced current. As a result, high accuracy and numerical stability are achieved. Numerical results are presented, proving the effectiveness of the method, and the parameters relevant to accelerator physics are calculated.

Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis / Assante, D.; Panariello, G.; Schettino, F.; Verolino, L.. - In: IET MICROWAVES, ANTENNAS & PROPAGATION. - ISSN 1751-8725. - 15:10(2021), pp. 1318-1329. [10.1049/mia2.12169]

Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis

Verolino L.
2021

Abstract

The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge behaviour of the unknown induced current. As a result, high accuracy and numerical stability are achieved. Numerical results are presented, proving the effectiveness of the method, and the parameters relevant to accelerator physics are calculated.
2021
Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis / Assante, D.; Panariello, G.; Schettino, F.; Verolino, L.. - In: IET MICROWAVES, ANTENNAS & PROPAGATION. - ISSN 1751-8725. - 15:10(2021), pp. 1318-1329. [10.1049/mia2.12169]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/867827
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