Investigating Electron Beam Deflections by a Long Straight Wire Carrying a Constant Current using Direct Action, Emission-based and Field Theory Approaches of Electrodynamics

Q3 Engineering

Progress In Electromagnetics Research B Pub Date : 2017-05-17 DOI:10.2528/PIERB17021103

Ray T. Smith, S. Maher

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引用次数: 10

Abstract

Results are presented for the transverse de ection of an electron beam by a long, straight wire carrying direct current. The experimental de ections are compared with three calculation methods based on the Lorentz force law (field theory) and both the Weber (direct action) and Ritz (emission) force formulae. The Lorentz force calculation is the conventional approach expressed in terms of electric and magnetic eld components. By contrast the force formulae of Weber and Ritz do not contain any eld vectors relating to E or B. The Weber force is based on direct action whereas the Ritz force expression is based on an emission/ballistic principle and is formulated in terms of a dimensionless constant, λ. The experimental beam de ections are for low speed (non-relativistic) electrons. Good agreement between experiment and theory is demonstrated for each approach. In fact, for the case of an innitely long wire, all three calculation methods give identical results. Finally, the three approaches are contrasted when applied to the case of high speed electrons.

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用电动力学的直接作用、发射和场论方法研究恒流长直导线对电子束的偏转

文中给出了电子束被直流长直导线横截的结果。将实验结果与基于洛伦兹力定律（场论）和Weber（直接作用）和Ritz（发射）力公式的三种计算方法进行了比较。洛伦兹力计算是用电场和磁场分量表示的传统方法。相比之下，Weber和Ritz的力公式不包含任何与E或B有关的场矢量。Weber力基于直接作用，而Ritz力表达式基于发射/弹道原理，并根据无量纲常数λ进行公式化。实验束流是针对低速（非相对论性）电子的。每种方法都证明了实验和理论之间的良好一致性。事实上，对于局长导线的情况，所有三种计算方法都给出了相同的结果。最后，将这三种方法应用于高速电子的情况时进行了对比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Progress In Electromagnetics Research B Engineering-Electrical and Electronic Engineering

CiteScore

2.70

自引率

0.00%

发文量

期刊介绍： Progress In Electromagnetics Research (PIER) B publishes peer-reviewed original, comprehensive and tutorial review articles on all aspects of electromagnetic theory and applications. It is a new journal in 2008, and freely available to all readers via the Internet. Manuscripts submitted to PIER B must not have been submitted simultaneously to other journals. Authors are solely responsible for the factual accuracy of their articles, and all articles are understood to have received clearance(s) for publication.