Electron optics of spheroid charged particle energy analyzers

A new class of charged particle energy analyzers, spheroid energy analyzers (SEA) that are characterized with very high energy resolution and transmission, is presented. A prototype analyzer was built that has achieved a relative energy resolution of 0.05% at a transmission of 21% out of a 2π steradian. A very high order of focusing of these analyzers is presented via simulation that indicates the existence of 13th order focusing in one of our models. This promises further improvements in energy resolution in future practical analyzer embodiments. A novel geometrical framework is presented, which describes SEA analyzers in general terms within which well known types of analyzers CMA and CHA appear to be only particular examples.