Linac beam core modeling from wire-scanner data
Andy Law · 1977
This study introduces mathematical modeling of accelerator beams from data collected by wire scanners. Details about a beam core D(x,x',y,y') are examined in several situations: (a) for a discretization of the projection into xy-space, a maximum-entropy solution and a minimum-norm solution are developed and discussed, (b) for undiscretized xy-subspace, a two-dimensional Gaussian approximation D(x,.,y,.) = a exp (..cap alpha..(x-x/sub 0/)/sup 2/ + ..beta..(x-x/sub 0/)(y-y/sub 0/) + ..gamma..(y-y/sub 0/)/sup 2/) is obtained by least squares, and (c) for four-dimensional space, the fit of a single Gaussian to data from a succession of wire scanners is investigated.