Determination of (epsilon), (beta), (alpha) from an arbitrary number of beam size measurements.

摘要

This note describes how the emittance (epsilon) and the betatron functions (beta) and (alpha) of a beam in an uncoupled high energy linac or transport line are extracted from an arbitrary number ((ge)3) of beam size measurements separated by various betatron phase advances. It is assumed that the beam sizes have no contributions from dispersion, intentional or otherwise.