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Defocusing effect on an electron beam with small electrostatic deflection
Chien, Cheng-Sen
Chien, Cheng-Sen
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1967-11-01
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Abstract
This thesis deals with the electrostatic deflection system defect known as "deflection defocusing." The theoretical approach is, in part, similar to that employed by Hutter (1). in his paper on the aberrations of a deflected electron beam. A differential equation is derived for the focusing power of an electrostatic deflection system, utilizing a knowledge of the deflecting field
distribution on the axial line of the system. This equation may be used to· study the focusing effects on electron beams with spatially smooth deflection fields and small deflection angles. A numerical technique for solving the differential equation is discussed and is applied to a number of deflection fields, namely, the fields due to parallel plates and parallel cylinders, and the hypothetical fields whose axial distributions have the form of the Butterworth function and the hyperbolic secant function. The results of these calculations are compared.
When the axial distributions of deflection fields exhibit steep characteristics (for example. extremely thin fringing regions), then the results of a "first order" analysis become invalid. The thesis includes a brief examination of such limitations.
Table of Contents
Abstract -- List of figures -- List of symbols -- Chapter I. Introduction -- Chapter II. Differential equations for electrons through 2-dimensional potential distribution -- Chapter III. Approximation validity for small deflection angles -- Chapter IV. Equation for deflection defocusing power with small deflection angles -- Chapter V. Numerical techniques -- Chapter VI. Numerical applications -- Chapter VII. Summary -- References
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Thesis (M.S.)-- Wichita State Universtiy, College of Engineering, Dept. of Electrical Engineering
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Wichita State University
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Wichita State University