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1. The aberration theory of a combined electron focusing-deflection system with a rotating deflection field following the rotation of the electrons | |||
Yan Ren,Tiantong Tang,Yongfeng Kang,Xiaoli Guo | |||
Electrics, Communication and Autocontrol Technology 19 December 2005 | |||
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Abstract: A new type of combined electron focusing-deflection system is proposed, in which the orientation of the deflection field is rotated following the rotation of the electrons caused by the magnetic lens field. The deflection direction rotated electrical deflectors can be constructed by using TWE (tube wall electrode) systems. Formulae are derived for the first-order optical properties, third order geometrical aberrations and first-order chromatic aberrations of this system. A program was written in FORTRAN for numerical computation. An example is given; the computation results show that compared to the conventional systems, the proposed new system has lower deflection aberration coefficients. | |||
TO cite this article:Yan Ren,Tiantong Tang,Yongfeng Kang, et al. The aberration theory of a combined electron focusing-deflection system with a rotating deflection field following the rotation of the electrons[OL].[19 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4475 |
2. Differential algebraic method for computing the high order aberrations of practical electron lenses | |||
Yongfeng Kang,Tiantong Tang,Yan Ren,Xiaoli Guo | |||
Electrics, Communication and Autocontrol Technology 16 December 2005 | |||
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Abstract:Differential algebraic method is of an effective technique in computer numerical analysis. It implements exactly differentiation up to arbitrary high order based on the nonstandard analysis. Some complicated nonlinear dynamics problems including high order aberrations of electron optics systems can be solved by mapping properties of differential algebraic quantities. However, the existed electron optical differential algebraic method can only be applied to those problems where the electric and / or magnetic fields are expressed in analytic forms. In this paper, the principle of differential algebraic method is applied to practical electron lenses whose electric / magnetic fields are in the forms of discrete arrays, for example, the files computed by FEM or FDM method. Thus the developed new differential algebraic method is applicable to engineering design. The programs were written for computing the high order aberrations of practical electron lenses. An example is given to show that the numerical results have good accuracy compared with the results computed by using the electric fields expressed in analytical form; the accuracy is limited only by the accuracy of the numerical computation of the fields and the arithmetic errors, and it is enough for engineering design. | |||
TO cite this article:Yongfeng Kang,Tiantong Tang,Yan Ren, et al. Differential algebraic method for computing the high order aberrations of practical electron lenses[OL].[16 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4431 |
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