Abstract

The paraxial model of a dense electron beam has been studied using analytical solutions that describe curvilinear sheet beams in a uniform magnetic field and without it. It is demonstrated how important it is to use, as a criterion for the accuracy of an approximate solution, the concept of a residual whose value is related to the error known for investigated reference flows.

中文翻译：

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测试薄板电子束的近轴模型

摘要

已经使用分析方法研究了密集电子束的近轴模型，该分析方法描述了在均匀磁场中和没有磁场的情况下的曲线片状束。证明了使用残差的概念作为近似解的准确性的标准是多么重要，该残差的值与所研究的参考流已知的误差有关。