Determination of analytical expansion from numerical field data

0350850 - ÚPT 2011 RIV NL eng J - Článek v odborném periodiku
Radlička, Tomáš - Lencová, Bohumila
Determination of analytical expansion from numerical field data.
Ultramicroscopy. Roč. 110, č. 9 (2010), s. 1198-1204. ISSN 0304-3991. E-ISSN 1879-2723
Grant CEP: GA AV ČR IAA100650805
Výzkumný záměr: CEZ:AV0Z20650511
Klíčová slova: electron optics * aberrations * differential algebra method * axial field derivatives
Kód oboru RIV: JA - Elektronika a optoelektronika, elektrotechnika
Impakt faktor: 2.061, rok: 2010

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.
Trvalý link: http://hdl.handle.net/11104/0190740