title: Determination of analytical expansion from numerical field data.
abstract: We introduce a method of calculation of the analytical expansion of the field near the axis that is based on an application of Green's theorem. The approach is demonstrated on an example of a round electrostatic unipotential lens with field computed by the finite-element method and results are compared to methods of Hermite polynomials and wavelet transformation which are used in electron optics. The work is motivated by application to calculations of aberration coefficients where the high order axial field derivatives must be known.
authors.affiliation: Institute of Scientific Instruments AS CR, Královopolská 147, 61264 Brno, Czech Republic. radlicka@isibrno.cz
authors.forename: Tomás
authors.initials: T
authors.lastname: Radlicka
authors.forename: Bohumila
authors.initials: B
authors.lastname: Lencová