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

作　　者：徐乐 李蕊[1] 马振洋 史小卫[1] XU Le;LI Rui;MA Zhenyang;SHI Xiaowei(School of Electronic Engineering,Xidian University,Xi'an 710071,China;College of Safety Science and Engineering,Civil Aviation University of China,Tianjin 300300,China)

机构地区：[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

出　　处：《电气电子教学学报》2024年第3期139-142,共4页Journal of Electrical and Electronic Education

基　　金：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)。

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。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 

分 类 号：TN801[电子电信—信息与通信工程]