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Arbitrary Order Aberrations for Elements Characterized by Measured Fields

Abstract

The precise understanding of the properties of large acceptance devices like modern nuclear spectrographs often requires the calculation of high-order aberrations. In many practical cases, it is necessary to treat all details of the fields of the elements, and instead of utilizing more or less simple field models, one has to rely on measured data. It is shown how aberrations of in principle unlimited orders can be obtained from measured field data; moreover, for the remaining aberrations of yet higher order, rigorous upper bounds of their influence on the motion can be found. The methods are used for the analysis and correction of the high-resolution S800 spectrograph at MSU.

K. Makino, M. Berz, Proc. SPIE Charged Particle Optics III 3155 (1997) 221-227

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