Open AccessLongitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis
Author(s) -
Assante Dario,
Panariello Gaetano,
Schettino Fulvio,
Verolino Luigi
Publication year - 2021
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/mia2.12169
Subject(s) - galerkin method , fredholm integral equation , coupling (piping) , integral equation , electrical impedance , stability (learning theory) , domain (mathematical analysis) , mathematical analysis , numerical analysis , mathematics , enhanced data rates for gsm evolution , time domain , physics , finite element method , computer science , quantum mechanics , telecommunications , materials science , computer vision , metallurgy , thermodynamics , machine learning
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.