基于射线追踪对矢量分析与复数运算的讨论
Discussion on Vector Analysis and Complex Operation Based on Ray Tracing
徐乐 1李蕊 1马振洋 2史小卫1
作者信息
- 1. 西安电子科技大学 电子工程学院,西安 710071
- 2. 中国民航大学 安全科学与工程学院,天津 300300
- 折叠
摘要
"场论与复变函数"可为学生提供矢量分析和复分析两种数学工具,但教师授课时往往发现学生难以融会贯通.通过引入圆柱形腔体的射线追踪问题,将场论中的矢量分析与复变函数中的复分析结合在一起,提出圆柱形腔体射线追踪的解析公式,使学生通过可视化的方式加深理解矢量分析与复分析,提高解决复杂工程问题的能力.
Abstract
The course of Field Theory and Functions of Complex Variables provides students with the mathematical tools of both vector analysis and complex analysis.However,teachers often find it difficult for students to integrate them into practice.By introducing the ray tracing problem of a cylindrical cavity,combining vector analysis in field theory and complex analysis in complex function,and proposing the analytical formula for ray tracing of a cylindrical cavity,students can deepen their understanding of vector analysis and complex analysis through visualization,and improve their ability to solve complex engineering problems.
关键词
射线追踪/复数乘法/矢量分析Key words
ray tracing/complex multiplication/vector analysis引用本文复制引用
基金项目
西安电子科技大学新实验开发与新实验设备研制及实验教改项目(SY22131N)
出版年
2024
NETL
NSTL
万方数据