Optimization of matching section of an accelerator with a spatially uniform quadrupole focusing

Abstract

A new approach is proposed for determining the matching section profile in an accelerator with spatially uniform quadrupole focusing. The approach based on mathematically formalized optimization problem and considerably extends the class of possible profiles since it is primarily independent of specific laws of variation of rigidity in the matching section and makes it possible to find the values of the aperture at the boundaries and in the cells directly as a solution.