Symmetry Properties of Beam Handling Magnet Systems

Abstract

Matrix methods are used to analyze particle beam handling magnet systems composed of a primary system followed by a symmetrical replica of itself. There are three such combinations, i.e., the primary system M followed by its reflection M_R, the system M followed by its antireflection M_A, and the system M followed by the flipped over replica of itself M_F. Explicit conditions are imposed on the primary system which due to the over‐all symmetry result in desirable beam transport properties for the complete system.