Open AccessION OPTICAL THEORY FOR THE THIRD ORDER TRAJECTORY IN A CROSSED TOROIDAL ELECTRIC AND INHOMOGENEOUS MAGNETIC FIELD (I)——CALCULATION OF TRAJECTORY AND MATRIX FORMALISM
Author(s) -
Cheng Ren-Shu,
Jiye Ximen
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.722
Subject(s) - toroid , physics , trajectory , magnetic field , electric field , formalism (music) , ion , oblique case , third order , quantum electrodynamics , classical mechanics , boundary value problem , computational physics , quantum mechanics , plasma , art , musical , linguistics , philosophy , theology , visual arts
In this part, the third order radial ion trajectory and the second order axial ion trajectory for a crossed toroidal electric and inhomogeneous magnetic field are studied. The formulae for the third order trajectory and slope are derived, which cover most cases of sector fields and in special cases agree with those already presented by previous authors. Therefore, these results are general and may be of use in designing mass spectrometers. The effects of oblique entrance and exit, curved field boundary and fringing field have not been studied yet.