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On the optical properties of magnetic lenses with fields of the form B(z) ∝ z – n, n = 2, 3, 4

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The trajectories of electrons in magnetic lenses with field distributions in the form of an inverse power law can be expressed in terms of Bessel functions of fractional order. It is shown that the focal lengths and spherical and chromatic aberration coefficients can be evaluated explicitly. The results confirm and elucidate numerical results published by A. V. Crewe [1].

Keywords: Magnetic lens; single-polepiece lens

Document Type: Original Article

DOI: http://dx.doi.org/10.1078/0030-4026-00154

Affiliations: CEMES-CNRS, B. P. 4347, 29 rue Jeanne Marvig, F-31055 Toulouse cedex 4, France

Publication date: September 1, 2002

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