Phase Space Ellipse Transport Using Two Ray Vectors

The method described by Lobb for calculating beam envelopes using selected initial ray vectors may be extended by applying the formalism of Norman and Moore to include a generalized description of the entire phase space ellipse (or ellipsoid) using two (or three) initial rays. All relevant information describing the ellipse is contained in a simple matrix and is accessible anywhere in the course of calculation. Existing computer codes as well as other linear ray tracing methods which do not presently exploit the power and conciseness of phase space ellipse transport may easily be adapted to this technique.