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Differential algebraic method for arbitrary-order chromatic aberration analysis of electrostatic lenses
Authors:Min Cheng  Shanfang Zhou  Tiantong Tang
Affiliation:a School of Electrical & Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
b Department of Assets, Linyi Teachers University, 276005, China
c School of Electronics and Information Engineering, Xi’an Jiaotong University, 710049, China
Abstract:In this paper, differential algebra is applied to calculate arbitrary high-order chromatic aberrations of electrostatic electron lenses. Expressions of differential algebraic form of high-order combined chromatic aberration coefficients are obtained and arbitrary-order chromatic aberrations can be calculated numerically. As an example, a typical Schiske's electrostatic lens has been studied. All the first- to third-order chromatic aberration coefficients of the lens have been calculated, and the pattern of the first-order chromatic aberration has been given as well.
Keywords:Differential algebra   Chromatic aberration analysis   Electrostatic lenses
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