High order aberrations calculations of Wien filters using differential algebra methods.

Ultramicroscopy

Key Laboratory for Physical Electronics and Devices of the Ministry of Education, School of Electronic Science and Engineering, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China.

Published: March 2020

AI Article Synopsis

  • A new differential algebraic (DA) method is introduced for analyzing the electron optics properties of Wien filters.
  • A software tool has been created to calculate geometrical and chromatic aberrations of these filters up to the fifth order.
  • The resulting geometrical aberration coefficients align with those from Tang's theory, but the two methods only match for chromatic aberrations when using the dispersion ray from Tang's approach.

Article Abstract

In this paper, a novel scheme based on the differential algebraic (DA) method is proposed to analyze the electron optics properties of the Wien filters. A new software package is then developed, to compute the geometrical and chromatic aberrations up to the fifth order of the Wien filters. For examples, the aberrations of single filter and the double filters are calculated. The calculated geometrical aberration coefficients are comparable with the counterpart calculated by Tang's theory. However, both theories can only match with each other in the calculation of the chromatic aberration coefficient when the dispersion ray is taken into consideration in Tang's theory.

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http://dx.doi.org/10.1016/j.ultramic.2019.112924DOI Listing

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