FDTD算法与Matlab仿真在电磁场与电磁波教学中的应用

Application of FDTD algorithm and Matlab visual simulation in the teaching of electromagnetic fields and electromagnetic wave

麦克斯韦方程组是电磁场与电磁波课程中最核心的一个知识点,物理量的抽象性、数学运算的复杂程度和预言产生电磁波等这些方程组的性质学生学习起来特别困难.从麦克斯韦方程组的微分形式出发,使用时域有限差分法(FDTD)推演时变电场和时变磁场在Yee胞中的空间和时间维度更新过程,借助于Matlab编程实现,可视化演示了电磁波的产生和传播过程,使学生更深入、更直观地理解“由麦克斯韦方程组预言电磁波的产生”这一重要性质.

Maxwell′s equations is one of the core knowledge points in the course of the electromagnetic field and electromagnetic waves.The abstract nature of the physical quantity,the complexity of mathematical operations, and the prediction of electromagnetic wave are particularly difficult for students to study.Proceeds from the differential form of Maxwell′s equations,develops the update process in space and time dimensions of time-varying electric and time-varying magnetic fields with the finite-difference time-domain method in Yee cells.Visualizing present the generation and propagation of electromagnetic waves with Matlab,which makes students understand the property the Maxwell′s equations predicts the generation of electromagnetic waves better and more intuitive.