Abstract
The spread of a beam of particles can be represented by an ellipse in phase space, which represents the spread of the beam in both angle and distance. It is shown that the changes in this ellipse can be followed simply by graphical means, as the beam passes through an optical system consisting of thick and thin lenses and drift spaces. Such calculations are of value when an injected beam must be matched to an accelerator, or when a beam of particles from an accelerator must be transported to an experiment or through an anaiyzing system. The graphical calculation is quicker than a computer calculation, and should be of sufficient accuracy in most cases. The graphical calcuiation gives insight into the changes necessary in a beam transport system to give it the desired properties. (auth)
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