Abstract

Phase space acceptance and emittance ellipse areas for a region bounded by beam-limiting apertures of half widths r 1 and r 2 are shown to be πr 1 r 2/| a 12| and πr 1 r 2 D/| a 12|, respectively, for linear beam transport in which D is the determinant of the basic 2×2 portion of the standard beam transport matrix and a 12 is the matrix element which transforms initial divergence into final displacement. A technique of analysis using these and related results is demonstrated for typical beam transport components. Examples are given for analyzing and optimizing beam transport through tandem electrostatic accelerators.

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