Open AccessTHE PARAXIAL ELECTRON OPTICS IN THE THREE-DIMENSIONAL CURVILINEAR COORDINATE SYSTEM
Author(s) -
Nie Shi-Qi,
Lin Shu-Quan,
Huang Bao-Lin
Publication year - 1998
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.47.1090
Subject(s) - curvilinear coordinates , paraxial approximation , coordinate system , physics , ellipsoidal coordinates , elliptic coordinate system , cylindrical coordinate system , electron , trajectory , optics , differential equation , classical mechanics , geometry , mathematics , beam (structure) , mechanics , quantum mechanics
By applying the definitions of curvilinear coordinate in differential geometry and using the main electron trajectory as the curve axis, the first order and second order paraxial electron trajectory equations in the three-dimensional coordinate system are obtained. Some numerical results of these equations applied to the analysis of an electron-beam scanning flat cathode ray tube are given.